The work done in lifting a bag of mulch was 504 Joules.
To find the amount of work done in this scenario, you can use the formula for work, which is work = force x distance x cos(theta), where force is measured in newtons (N), distance is measured in meters (m), and theta is the angle between the force and the displacement.
In this case, first, you lifted the bag of mulch 1.2 meters against gravity and the force applied is 45N and the displacement is 1.2m, the formula becomes:
work = force x distance x cos(theta) = 45 N x 1.2 m = 54 J
After, you carry the bag of mulch 10 meters, and the force applied is still 45N and the displacement is 10m, so the formula becomes:
work = force x distance x cos(theta) = 45 N x 10 m = 450 J
Therefore, the total amount of work done in lifting the bag of mulch 1.2 meters and carrying it at a distance of 10 meters is 54 J + 450 J = 504 J.
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A conical water tank with vertex down has a radius of 12 feet at the top and is 26 feet high. If water flows into the tank at a rate of 20 ft3/minft3/min, how fast is the depth of the water increasing when the water is 17 feet deep?
The depth of the water is increasing at _____________ ft/min
The depth of the water is increasing at 0.167 ft/min.
In this problem, we are given the radius of the conical tank (12 feet), the height of the tank (26 feet) and the rate at which water is flowing into the tank (20 ft3/min). To calculate the rate of the water's increase in depth, we need to first calculate the volume of the tank.
The volume of a conical tank can be calculated using the formula V = 13r2h, where r is the radius and h is the height. Using this formula, we can calculate the volume of the tank to be 13(12)2(26) = 7584 ft3.
Next, we need to calculate the rate at which the depth of the water is increasing. This can be done by dividing the rate at which water is flowing into the tank (20 ft3/min) by the volume of the tank (7584 ft3). This gives us a rate of 0.0026 ft3/min. To get the rate at which the depth is increasing, we need to divide this number by the area of the tank's base (113 ft2). This gives us a rate of 0.167 ft.
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Select the correct answer from each drop-down menu.
The given dot plot represents the average daily temperatures, in degrees Fahrenheit, recorded in a town during the first 15 days of September. If the dot plot is converted to a box plot, the first quartile would be drawn at
, and the third quartile would be drawn at
the first drop box is - 59, 60,61, 62
and the second drop box is - 61,62,63,64
.
If the dot plot is converted to a box plot, the first quartile would be drawn at 61 and the third quartile would be drawn at 63.
What is a dot plot?In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.
Based on the dot plot, the average daily temperatures include the following:
Temperature frequency
59 0
60 2
61 3
62 3
63 4
64 2
65 1
Total 15
By grouping the average daily temperatures, we have:
(60, 60, 61), 61, (61, 62, 62), 62, (63, 63, 63), 63, (64,64,65)
First quartile = 61.
Median = 62.
Third quartile = 63.
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How do you tell if a set of points is an exponential function?
The equation y=ax^b, where a and b are constants. If the points follow this equation, then the set of points is an exponential function.
An exponential function is a function in which the output is proportional to the exponent of the input. Exponential functions follow the equation y=ax^b, where a and b are constants. To determine if a set of points is an exponential function, you must look for a pattern in the points that follows the equation. If the points follow the equation, then the set of points is an exponential function. If the points do not follow the equation, then the set of points is not an exponential function. An example of an exponential function is y=2^x, where the output, y, is proportional to the exponent of the input, x. Exponential functions can be used to model a variety of real-world phenomena, such as population growth, radioactive decay, and compound interest.
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The process of identify the exponential function coordinates are explained below.
The term coordinates in math is defined as a set of numbers or numbers and letters together that show you a position on a map.
Here we have to identify that whether the a set of points is an exponential function.
In order to find this one, first we must know the definition of exponential function,
The term exponential function is defined as defined by the formula f(x) = aˣ where the input variable x occurs as an exponent. and the exponential curve depends on the exponential function and it depends on the value of the x.
Now, the steps to identify whether the set of points are exponential function or not is listed below:
If we plot the points on the graph passes through the point (0,1).
If the domain of the points is in real numbers.
Whether the range of the points is y>0.
If we plot the points on the graph is continuous and increasing.
Whether we plot the points on the graph is asymptotic to the x-axis as x approaches negative infinity.
If we plot the points on the graph increases without bound as x approaches positive infinity.
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1 1/3 divided by 4
CAN SOMEONE PLEASE HELP ME I AM STUCK
The number of girls in the Middle School Cyber Club was 8 more than double the number of boys, and in total there were 83 middle school students in the Cyber Club.
What is the total of girls and the total of boys in the club?
The total number of girls and the total number of boys in the club are
number of girls = 58
number of boys = 25
How to find the number of boys and girls in the clubThe total number of girls and the total number of boys in the club is solved using the equation generated as follows
The number of girls in the Middle School Cyber Club was 8 more than double the number of boys
let the number of girls be x and the number of boys be y
x = 8 + 2y
total there were 83 middle school students in the Cyber Club
x + y = 83
substituting for x in x + y = 83
x + y = 83
plugging in x = 8 + 2y
8 + y + y = 83
8 + 2y = 83
solving for y
3y = 83 - 8
3y = 75
y = 25
solving for x
x = 8 + 2y
x = 8 + 2 * 25
x = 58
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Please help!!!!! Find the perimeter of the figure. Round to the nearest hundredth if needed
The perimeter of the figure is 48 meters
How to determine the perimeter of the figureFrom the question, we have the following parameters that can be used in our computation:
Shape = rectangle
length = 10 meters
width = 14 meters
The perimeter of the figure is then calculated as
Perimeter = 2 * (length + width)
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (10 + 14)
Evaluate
Perimeter = 48
Hence, the perimeter is 48 meters
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The equation the quantity x plus 28 end quantity over 5 equals 3 times x models the workload of a class project, where x is the number of hours each student must contribute. How many hours does each student work on the project?.
Each student must work 14 hours on the project.
To solve this problem, we need to isolate the variable x on one side of the equation.
First, we can get rid of the fraction on the left side of the equation by multiplying both sides by 5:
5 * (x + 28) / 5 = 5 * (3x) / 5
This simplifies to:
x + 28 = 3x
Then, we can subtract x from both sides to get:
x + 28 - x = 3x - x
This simplifies to:
28 = 2x
Finally, we can divide both sides by 2 to find the value of x:
28 / 2 = 2x / 2
This simplifies to:
14 = x
Therefore, each student must work 14 hours on the project.
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Each student must work 14 hours on the project.
this is a question of set of equations, the solution is as follows,
we can get rid of the fraction on the left side of the equation by multiplying both sides by 5:
5 * (x + 28) / 5 = 5 * (3x) / 5
x + 28 = 3x
Then, we can subtract x from both sides to get:
x + 28 - x = 3x - x
28 = 2x
2x=28
Finally, we can divide both sides by 2 to find the value of x:
2x/2 = 28/2
x = 14
Therefore, each student must work 14 hours on the project.
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Can somebody help me as fast as he can please??
a) Another name of plane p is parallelogram.
b) Z and X are distinct points that are collinear.
c) Y, X, Z, and T are distinct points that are coplanar.
d) Then QT and ST are distinct lines that are intersect.
What is a parallelogram?One particular type of quadrilateral that is created by parallel lines is a parallelogram. A parallelogram can have any angle between its adjacent sides, but it must have parallel opposite sides in order to be considered one. If two opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. As a result, a parallelogram is a quadrilateral with two pairs of opposite sides that are both parallel and equal.
The Greek word "parallelogrammon," which means "bounded by parallel lines," is where the word "parallelogram" comes from. A quadrilateral that has parallel lines enclosing it is referred to as a parallelogram.
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Determine whether the distribution is a discrete probability distribution. x 10 20 30 40 50 P(x) 0.2 0.2 0.2 0.2 0.2
Yes, the distribution given is a discrete probability distribution.
A discrete probability distribution is a distribution that assigns probabilities to individual values or discrete outcomes. In other words, it is a distribution that consists of a set of discrete values, each with an associated probability.
In the given distribution, the values x = 10, 20, 30, 40, and 50 are all discrete values, and each has an associated probability P(x) = 0.2. This satisfies the definition of a discrete probability distribution.
On the other hand, a continuous probability distribution is a distribution that assigns probabilities to intervals of values rather than individual values.
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i-Ready
Compare Functions-Quiz - Level H
The graph and the table show the total costs of two different summer programs, y, as functions of the
two different summer programs, y, as a function of the number of classes,x.
Compare the costs for the two programs.
When the number of classes is ?
fishing is less expensive.
When the number of classes is ?
canoeing is less expensive.
LOOK AT PHOTO
Compare the costs for the two programs and results are when the number of classes are more, canoeing is less expensive and when the number of classes are less, fishing is less expensive.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
The graph and the table show the total costs of two different summer programs, y, as functions of the two different summer programs, y, as a function of the number of classes, x.
For canoeing program,
And number of class 1 then cost is $32.
The number of classes 2 then y = 44
For each, 44/2 = $22
The number of classes 3 then y = 56
For each, 56/3 = $18.67
The number of classes 2 then y = 68
For each, 68/4 = $17
So,
When the number of classes are more, canoeing is less expensive.
And number of class 1 then cost is $20.
The number of classes 2 then y = 40
For each, 40/2 = $20
The number of classes 3 then y = 60
For each, 60/3 = $20
The number of classes 2 then y = 80
For each, 80/4 = $20
So,
When the number of classes are less, fishing is less expensive.
Therefore, when the number of classes are more, canoeing is less expensive and when the number of classes are less, fishing is less expensive.
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*need fast answer please * what are some numbers of pushups that bucky will never do in any game ?
It is impossible to determine with certainty which number of pushups Bucky will never do in any game, as this depends on Bucky's physical abilities, training, and determination.
It is possible that Bucky may be able to do a very large number of pushups in a game, or he may not be able to do very many. It is also possible that there may be certain numbers of pushups that Bucky finds more challenging or difficult to do than others, but this would depend on his individual physical abilities and strengths. Ultimately, the number of pushups that Bucky will be able to do in any given game will depend on a variety of factors, and it is not possible to predict with certainty which numbers he will never do.
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Number of push-ups Bucky will never perform in any game is impossible to predict with confidence because it relies on Bucky's physical prowess, training, and willpower.
In a game, Bucky might be able to perform a lot of push-ups or he might not be able to perform many at all. It's also likely that Bucky will find some numbers of push-ups harder or more difficult to complete than others; however, this will depend on his particular physical prowess and capabilities.
In the end, Bucky's ability to do a certain number of push-ups throughout a game will rely on a multitude of variables, and it is impossible to say with certainty certain numbers he will never complete.
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the tanker continues to leak 720 gallons/hour after the first 8 hours. if the tanker originally contained 25,000 gallons of oil, approximately how many more hours will elapse in the worst case before all of the oil has leaked? in the best case?
In the worst case, it will take 125.7 more hours for all of the oil to leak out. In the best case, it will take 104.17 more hours for all of the oil to leak out.
Worst case:
25,000 gallons of oil / (720 gallons/hour) = 34.72 hours
25,000 gallons of oil - (720 gallons/hour * 34.72 hours) = 8,640 gallons of oil remaining
8,640 gallons of oil / (720 gallons/hour) = 12.04 hours
34.72 hours + 12.04 hours = 46.76 hours
46.76 hours x (720 gallons/hour) = 33,360 gallons of oil
25,000 gallons of oil - 33,360 gallons of oil = -8,360 gallons of oil
-8,360 gallons of oil / (720 gallons/hour) = -11.56 hours
46.76 hours + (-11.56 hours) = 35.2 hours
35.2 hours x (720 gallons/hour) = 25,440 gallons of oil
25,000 gallons of oil - 25,440 gallons of oil = 560 gallons of oil
560 gallons of oil / (720 gallons/hour) = 0.78 hours
35.2 hours + 0.78 hours = 36.0 hours
36.0 hours x (720 gallons/hour) = 25,920 gallons of oil
25,000 gallons of oil - 25,920 gallons of oil = 80 gallons of oil
80 gallons of oil / (720 gallons/hour) = 0.11 hours
36.0 hours + 0.11 hours = 36.11 hours
36.11 hours x (720 gallons/hour) = 25,952 gallons of oil
25,000 gallons of oil - 25,952 gallons of oil = 48 gallons of oil
48 gallons of oil / (720 gallons/hour) = 0.07 hours
36.11 hours + 0.07 hours = 36.18 hours
36.18 hours x (720 gallons/hour) = 25,976 gallons of oil
25,000 gallons of oil - 25,976 gallons of oil = 24 gallons of oil
24 gallons of oil / (720 gallons/hour) = 0.03 hours
36.18 hours + 0.03 hours = 36.21 hours
Best case:
25,000 gallons of oil / (720 gallons/hour) = 34.72 hours
25,000 gallons of oil - (720 gallons/hour * 34.72 hours) = 8,640 gallons of oil remaining
8,640 gallons of oil / (720 gallons/hour) = 12.04 hours
34.72 hours + 12.04 hours = 46.76 hours
46.76 hours x (720 gallons/hour) = 33,360 gallons of oil
25,000 gallons of oil - 33,360 gallons of oil = -8,360 gallons of oil
-8,360 gallons of oil / (720 gallons/hour) = -11.56 hours
46.76 hours + (-11.56 hours) = 35.2 hours
35.2 hours x (720 gallons/hour) = 25,440 gallons of oil
25,000 gallons of oil - 25,440 gallons of oil = 560 gallons of oil
560 gallons of oil / (720 gallons/hour) = 0.78 hours
35.2 hours + 0.78 hours = 36.0 hours
36.0 hours x (720 gallons/hour) = 25,920 gallons of oil
25,000 gallons of oil - 25,920 gallons of oil = 80 gallons of oil
80 gallons of oil / (720 gallons/hour) = 0.11 hours
36.0 hours + 0.11 hours = 36.11 hours
36.11 hours x (720 gallons/hour) = 25,952 gallons of oil
25,000 gallons of oil - 25,952 gallons of oil = 48 gallons of oil
48 gallons of oil / (720 gallons/hour) = 0.07 hours
36.11 hours + 0.07 hours = 36.18 hours
Therefore, in the worst case it will take 125.7 more hours for all of the oil to leak out and in the best case it will take 104.17 more hours for all of the oil to leak out.
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how to put y=2x in a table
Answer:
Step-by-step explanation:
I got you. ( It's basically just y is double x.)
y x
2 1
4 2
6 3
8 4
10 5
could someone please help me with this shape I have to find the perimeter and the area of that shape But I have no clue Where to start from, so could anybody help me figure this out this is very important to me, and please do not Try to give me the wrong answer because I really need the right answer and please do it Step-by-step explanation for the answer
The perimeter of the shape is approximately 20.57 inches.
What is Perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The shape consists of two shapes; a square and 2 semi-circles
Perimeter of square = 4L
where L = 2 inches
Perimeter = 4(2)
Perimeter = 8 inches
Perimeter of Semi-circle = [tex]\pi r}[/tex]
where [tex]\pi = 3.142[/tex]
r = 2 inches
Perimeter of Semi-circle = 3.142 x 2
Perimeter of Semi-circle = 6.284 inches
Perimeter of shape = Perimeter of square + 2 x Perimeter of Semi-circle
Perimeter of shape = 8 inches + 2 x 6.284 inches
Perimeter of shape = 8 inches + 12.568 inches
Perimeter of shape = 20.568 inches
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6wy-2wz+3xy-xz The expression above can be written in the form (aw+x)(by-z), where a and b are constants. What is the value of a+b ?
The expression 6wy-2wz+3xy-xz can be factorized into (2w+x) ( 3y-z). The value of a and b are 2 and 3 respectively
What is factorization of algebraic expression?To factorize an algebraic expression, the highest common factors of the terms of the given algebraic expression are determined and then we group the terms accordingly. In another word, the reverse process of expansion of an algebraic expression is its factorization.
to factorize 6wy-2wz+3xy-xz , we firstly collect like terms, 6wy + 3xy -2wz - xz
The next step is to group the expression into two
(6wy+3xy)(-2wz-xz)
bringing out the factors in each parentheses
3y( 2w+x) -z(2w+z)
therefore 6wy-2wz+3xy-xz = (3y-z)(2w+z)
comparing the expression (aw+x)(by-z)
Therefore a = 2 and b= 3
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14. What is the value of x and y? Show all work. (3 points)
I’ll give 20 points
Answer:
x = 71
y = 71
Step-by-step explanation:
The value of x and y would be the same because this is an isosceles triangle.
38 + x + y = 180
x + y = 142
142/2 = 71
x = 71
y = 71
Solve the equation by method of your choice PLS HELPPPP
Answer:
width: 8 ft
length: 24 ft
Length of fence whole garden: 2 (8 + 24) = 64 ft
Step-by-step explanation:
x * 3x = 192
3x² = 192
x² = 192 / 3
x² = 64
x = 8
width: 8 ft
length: 3 * 8 = 24 ft
Length of fence whole garden: 2 (8 + 24) = 64 ft
2. More households had 4 devices to watch video on than any other number. Which of the following is closest to the percent of households that have 4 devices?
(1) 22%
(2) 34%
(3) 27%
(4) 45%
Answer:
27
Step-by-step explanation:
if we set c=19!, then express 21!-20! in terms of c
[tex]\begin{array}{ll|ll} 21!\implies &21\cdot 20\cdot 19\cdot 18\cdot 17.....\\&\\ &21\cdot 20\cdot 19! \end{array} \begin{array}{llll} 20!\implies &20\cdot 19\cdot 18\cdot 17\cdot 16\cdot 15.....\\\\ & 20\cdot 19! \end{array} \\\\[-0.35em] ~\dotfill\\\\ (21\cdot 20\cdot 19!)-(20\cdot 19!)\implies (21\cdot 20\cdot c)-(20\cdot c) \\\\\\ 420c-20c\implies \text{\LARGE 400c}[/tex]
The range of probability is
a. any value larger than zero
b. any value between minus infinity to plus infinity
c. zero to one
d. any value between -1 to 1
The range of probability is:
c. zero to one
THE RANGE OF PROBABILITYProbability is a measure of the likelihood of an event occurring. It is a value that ranges between 0 and 1, where 0 represents an impossible event, and 1 represents a particular event. In other words, a probability of 0 means that an event will not happen, and a probability of 1 means that an event will happen. Any probability value between 0 and 1 can be written as a decimal or a percentage. For example, a probability of 0.5 can also be written as 50%.
It is important to note that probability values cannot be negative or greater than 1. In probability theory, events that are impossible to happen have a probability of 0, and events that are certain to happen have a probability of 1. For example, a probability value of 0.5 means a 50% chance of an event and a 50% chance of it not happening. Therefore, the range of probability is between 0 and 1, as any value outside of this range would not be a valid probability.
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Sketch the graph of r= 10 sin 30 The equation r= 10 sin 30 is of the forma sin n. Therefore, the graph is a rose. How many petals does the rose have? 3 (Simplify your answer.) What is the length of each petal? 10 unit(s) (Simplify your answer.) At what values of do the endpoints of each petal occur? Since the value of n is odd, give values of 0 on the interval [0.3). Choose the correct answer below. * 5 3 OA. BEZ * 2x OB. 0.3 Z * 5x 626 OD. 37 173 ham ) that represent the endpoint Sketch the graph of r = 10 sin 30. OD Use the values of from the previous stop to determine the corresponding values of t. The list all the polar coordinates of the form of each petal. Choose the correct answer below. that represent the endpoint On (-10.3) ( 10 ) (-10,) 08 (103):( - 10.) (10.) OC. (-10.09 (103) (-10,7) Since the value of nis odd, give values of 0 on the interval.). Choose the correct answer Sketch the graph of r = 10 sin 30. ou. 10.6 0.6) (2) At what values of does the graph pass through the pole? Since the value of nis odd, give values of on the interval 0.x). Choose the correct answer below 04. OB. * 5x 37 C. * 11 D. 66 Sketch the graph of r= 10 sin 30. Choose the correct graph below.
By applying the polar equation of a rose curve, we can conclude that the rose curve will have 3 petals whose each length is 10 units. The endpoints of each petal occur when θ = 0, π/3, 2π/3. The corresponding values of the endpoint of each petal (r,θ) are (-10,0), (10,π/3), (-10,2π/3).
The polar equation of a rose curve is either:
r = a cos (nθ) or r = a sin (nθ)
where
a = constant that determines the size
n = half of the number of petals (n is even) or number of petals (n is odd)
We take a look at the given function: r = 10 sin 3θ
By applying the rule above, we can conclude that the rose curve will have 3 petals whose each length is 10 units.
Now we want to know the starting point of the petals, we assume the r = 0.
r = 10 sin 3θ
0 = 10 sin 3θ
0 = sin 3θ
3θ = 0 + nπ
θ = nπ/3 n = number of petal + 1 = 0, 1, 2, 3
On the interval [0,π), we list the value of θ:
n θ
0 0
1 π/3
2 2π/3
3 π (= 0)
Thus, the endpoints of each petal occur when θ = 0, π/3, 2π/3
Using the values of θ from the previous step, we can write down the corresponding values of the endpoint of each petal (r,θ) are (-10,0), (10,π/3), (-10,2π/3)
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bob is building a treehouse he was locations for four holes that will hold his corner post they form a figure with a long side with 12 feet and a short side of 9 feet wha must the diagnol of the figure be to make sure the base of his tree house is a rectangle
The diagonal length of the figure, to make sure the base of his tree house is a rectangle, is given as follows:
15 feet.
How to obtain the diagonal of the figure?We want for the figure in this problem to represent a rectangle. For a rectangle, the diagonal is the hypotenuse of a right triangle in which the side lengths are the same as the side lengths of the triangle, and there is an angle of 90º between them.
Hence the Pythagorean Theorem can be used to obtain the diagonal, which states that the length of the hypotenuse squared is equals to the sum of each of the sides of the triangle squared.
Then the diagonal length is calculated as follows:
d² = 12² + 9²
d = square root (12² + 9²)
d = 15 feet.
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The total cost, in dollars, to order x x units of a certain product is modeled by c(x)=5x2+320 c ( x ) = 5 x 2 + 320. According to the model, for what size order is the cost per unit a minimum?.
The minimum cost per unit is obtained for an order of 8 units.
Since the total cost is modeled by;
We'll solve this by unitary method
The unitary method is a technique for solving a problem by finding the value of a single unit, I.e.,1,(by dividing), and then finding the necessary value by multiplying the single unit value.
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
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(please help asap T-T) Using long division, find the quotient of (6x^3 + x^2 - 2x + 15) / (2x + 3)
a. 3x^2 - 4x + 5
b. 3x^2 + 5x - 6
c. 2x^2 + 3x - 5
d. 3x^2 - 5x - 5
The polynomial 6x³ + x² - 2x + 15 divided by 2x + 3 will give a quotient of 3x² - 4x + 5 and a remainder of zero, which makes option a correct.
How to calculate for the quotient and remainderThe long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder
We shall divide the polynomial 6x³ + x² - 2x + 15 by 2x + 3 as follows;
x³ divided by 2x equals 3x²
2x + 3 multiplied by 3x² equals 6x³ + 9x²
subtract 6x³ + 9x² from 6x³ + x² - 2x + 15 will result to -8x² - 2x + 15
-8x² divided by 2x equals -4x
2x + 3 multiplied by -4x equals -8x² - 12x
subtract -8x² - 12x from -8x² - 2x + 15 will result to 10x + 15
10x divided by 2x equals 5
2x + 3 multiplied by 5 equals 10x + 15
subtract 10x + 15 from 10x + 15 will result to a remainder of 0
Therefore by the long division method, 6x³ + x² - 2x + 15 divided by 2x + 3 gives a quotient 3x² - 4x + 5 and a remainder of 0.
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1.4+ (-3.1) + (-4.5)=
Answer:
-6.2
Step-by-step explanation:
1.4-3.1-4.5
=-1.7-4.5
=-6.2
Determine if the given graph is a one-to-one function.
Answer:
it is a one-to-one function
Step-by-step explanation:
A shape is drawn on a centimetre grid
show that the triangle and square have the same area
The area of the triangle and the square are the same = 4 square units
How to determine the area?
You should know that the area talks about the floor space occupied by each shape.
The square occupies 2 units on the base and two units on the height
The triangle occupies two grids on the base and four grids on the height
Area of square is S² and Area of a triangle is 1/2base*height
⇒Area of square is = 2² = 4 ²square units
Area of triangle = 1/2 * 2 * 4 = 4 square units.
In conclusion the area of the triangle is equal to the area of the square with 4 units square each
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N is a whole number. 2n is greater than 36, 5n is less than 100. what is the value of n?
Answer:
don't know if I am correct but,
18<n<20
so must be 19.
SOMEONE PLEASEEEE HELP MEE ASAP 20 POINTTSS
Answer:
x intercept is 7.5
y intercept is -3
Step-by-step explanation:
let me know if you need more help
Work this travel problem based on the data provided in the table. Choose the correct answers. Average costs per day country high category medium category argentina $22. 55 $10. 80 austria $17. 08 $10. 17 belgium $20. 16 $12. 96 brazil $18. 33 $12. 25 england $22. 94 $15. 88 france $29. 04 $19. 54 greece $16. 55 $9. 48 italy $21. 84 $14. 69 netherlands $20. 80 $14. 37 spain $14. 51 $8. 79 sweden $23. 51 $15. 73 switzerland $21. 57 $13. 82 united states $34. 48 $22. 46 west germany $22. 53 $14. 33 yugoslavia $10. 96 $7. 38 by what percentages are spain's high category and medium category less than the united states' categories (to the nearest tenth of a percent)? high category = % medium category = %.
The high category cost in Spain is 57.8% lower than the high category cost in the United States, while the medium category cost in Spain is 61.0% lower than the medium category cost in the United States.
We can use the following calculations to determine the percentage by which Spain's high category and medium category costs are less than those of the United States' categories:
(High in the US - High in Spain)/High in the US * 100%
Spanish medium/US medium * 100% for the medium division.
The first formula determines the percentage difference between the high category costs in the United States and Spain. The second calculation determines the percentage difference between the medium category costs in the United States and Spain.
Calculate, for instance, the percentage difference between the high category costs in Spain and the United States. The values can be entered into the formula in the following way:
High category: (19.97)/(34.48 - 14.51)/(34.48 * 100%) = 57.8%
This indicates that the high category cost in Spain is 57.8% cheaper than the high category cost in the United States.
The similar method can be used to determine how much less Spain's medium category cost is than America's medium category cost:
(22.46 - 8.79)/22.46 * 100% = (13.67)/22.46 * 100% = 61.0% for the medium group.
As a result, the medium category cost in Spain is 61.0% cheaper than the medium category cost in the United States.
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Answer:
High category = 58%
Medium category = 61%
Step-by-step explanation:
Corrected what he said. Brainliest?
