The height of the rectangle, given the breadth, can be found to be 200 cm
How to find the breadth ?In a two - dimensional shape such as a rectangle, there would be certain terms that mean the same thing. An example of such terms are height and breadth. The height and the breadth of a rectangle is considered to be the same thing.
The height of this rectangle would therefore be the same as the breadth which means the height is 2 meters.
However, seeing as the length is in centimeters, the height would need to be in centimeters as well.
A single meter is 100 centimeters so 2 meters would be :
= 2 x 100
= 200 cm
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stacia walked a total of 30,375 feet . if 2 miles is 10,560 feet , how far did stacia walk ?
Answer: 2025/352
Step-by-step explanation:
Formula : 30375 x 2 / 10560
Simplified : 2025/352
Mixed number form: 5 265/352.
Hope this helped!
Answer:
Staсia walked a total of 5 miles and 3,975 feet
Step-by-step explanation:
If two miles is 10,560 feet, then one mile is half that:
10,560 / 2 = 5280 feet.
Let's see how many whole miles fit into 30,375 feet?
30,375 // 5,280 = 5 miles.
Now we calculate the remainder:
30,375 - 5,280 * 5 = 30,375 - 26,400 = 3,975 feet.
So Staсia walked a total of 5 miles and 3,975 feet.
Simplify the expression -15 + (-16 + 9.34/6) •3^2 -5.7
Answer:
[tex]\Huge \boxed{\boxed{\bf{-150.69}}}[/tex]
Step-by-step explanation:
To simplify the expression, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
[tex]\Large \boxed{\bf{-15 + (-16 + 9.34/6) \times 3^2 - 5.7}}[/tex]
First, let's simplify the expression inside the parentheses:
[tex]\tt{-15 + (-16 + 1.55666666667) \times 3^2 - 5.7}[/tex]Next, let's simplify the exponent:
-[tex]\tt{15 + (-16 + 1.55666666667) \times 9 - 5.7}[/tex]Now, let's simplify the addition and subtraction within the parentheses:
[tex]\tt{-15 + (-14.4433333333) \times 9 - 5.7}[/tex]Next, let's perform the multiplication:
[tex]\tt{-15 + (-129.99) - 5.7}[/tex]Now, let's perform the addition and subtraction from left to right:
[tex]\tt{-144.99 - 5.7}[/tex]Finally, subtract the two numbers:
[tex]\tt{-150.69}[/tex]
Therefore, the simplified expression is -150.69.
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________________________________________________________
Find all of the cube roots of 11 and write the answers in rectangular (standard) form.
To solve this we must be knowing each and every concept related to cube root and its calculations. Therefore, the cube roots of 11 is 2.223.
What is cube root?In a nutshell, the cube roots of almost any integer is the component that we multiply on its own three times to produce the specific values. Remember that now the cube roots of an integer is the inverse of its cubing.
Only when yyy= x is the cube root of such a number x , a number y. All nonzero real numbers get one actual cube root and two complex conjugated cube roots, while all nonzero complex numbers possess three distinct complex cube roots. The cube roots of 11 is 2.223.
Therefore, the cube roots of 11 is 2.223.
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Given: f(x) = 5x + 2 and g(x) = 2x+8
Two functions are graphed in the same coordinate plane.
What does the intersection point represent?
O the y-intercept of the graph of g(x)
the x-intercept of the graph of f(x)
O the maximum point of the graph of f(x) and g(x)
O the solution of the equation f(x) = g(x)
Answer:
Step-by-step explanation:
THIS IS THE 3.1.4 JOURNAL PROVING THE PYTHAGOREAN THEOREM ASSIGNMENT FULL ASSIGNMENT ANSWERS!!!
Determine if the TV will fit in the car.
a. Draw the rectangle that represents the height and width of the trunk including the diagonal. Label the dimensions on your sketch.
Destiny answered 75 percent of the questions on a quiz correctly if she answered 15 questions correctly how many questions are on the quiz? Grade 6 unit 3 reveiw
well, the quiz really has "x" questions, which oddly enough is the 100%.
we also know that Destiny answered 15, and that's 75%, what the dickens is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 15& 75 \end{array} \implies \cfrac{x}{15}~~=~~\cfrac{100}{75} \\\\\\ \cfrac{ x }{ 15 } ~~=~~ \cfrac{ 4 }{ 3 }\implies 3x=60\implies x=\cfrac{60}{3}\implies x=20[/tex]
Tina's rectangular living-room floor measures 15 feet by 18 feet.
How many square feet of carpet will Tina need to cover the entire floor?
The carpet Tina likes is sold by the square yard. How many square yards
will she need? (1 yard = 3 feet)
(Show work!)
The required area of the rectangular floor and square yards needed are given as 270 ft² and 30 respectively.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
The dimensions of the floor are given as 15 feet and 18 feet respectively.
(a) The carpet required is equivalent to the area of the floor given as,
Area of floor = 15 × 18
⇒ 270 ft²
(b) Since, 1 feet = 3 yard
⇒ 1 square feet = 9 square yard.
Then, the number of square yards required is given as,
⇒ 270 ÷ 9 = 30
Hence, the area of the floor and number of square yards are 270 ft² and 30 respectively.
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How can statistical models help us make data informed decisions? What
models have we looked at so far this year and what can you say about each?
Consider Properties and Examples of each Model, Methods for Evaluation, Expected Value, etc.
At least 3 sentences
Answer:
Step-by-step explanation:
Statistical models can help people make informed decisions by providing them with the likelihood of success so that they can make decisions that are informed and are knowledgeable of the outcomes.
Find the angle of elevation of the sun from the ground, when a tree that is 11yrds tall casts a shadow 10yrds long
Check the picture below.
[tex]tan(\theta )=\cfrac{11}{10}\implies tan^{-1}[tan(\theta )]=tan^{-1}\left( \cfrac{11}{10} \right) \\\\\\ \theta =tan^{-1}\left( \cfrac{11}{10} \right)\implies \theta \approx 47.73^o[/tex]
Make sure your calculator is in Degree mode.
Find the area inside the larger loop and outside the smaller loop of the limaçon r=1/2+cos θ
The area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].
The given equation is [tex]r=\frac{1}{2}+cos\theta[/tex].
The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The relationship between rectangular and polar coordinates is:
[tex]x=rcos\theta[/tex]
[tex]y=rsin\theta[/tex]
[tex]r^2=x^2+y^2[/tex]
[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]
[tex]J=r[/tex]
The area between the curve [tex]r=f(\theta)[/tex] and two polar radius corresponding to [tex]\theta_1=\alpha[/tex] and [tex]\theta_2=\beta[/tex] is:
[tex]A=\frac{1}{2}\int_{\alpha}^{\beta}[f(\theta)]^2d\theta[/tex]
We have that:
[tex]\frac{1}{2}+cos\theta=0[/tex]
[tex]cos\theta=-\frac{1}{2}[/tex]
[tex]\theta_1=\frac{2\pi}{3}[/tex]
[tex]\theta_2=\frac{4\pi}{3}[/tex]
Then, the top half of larger loop of the Limacon is defined on the interval [tex][0, \frac{2\pi}{3}][/tex] and bottom half of smaller loop is defined on the interval [tex][\frac{2\pi}{3}, \pi][/tex].
Therefore, the area inside the larger loop and outside the smaller loop of the given Limacon will be:
[tex]A=2\frac{1}{2}[\int_0^{2\pi/3}(\frac{1}{2}+cos\theta)^2d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{2}+cos\theta)^2d\theta][/tex]
[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta[/tex]
[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta\frac{1}{2}+\frac{cos2\theta}{2})d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+\frac{1}{2}+\frac{cos2\theta}{2})d\theta[/tex]
[tex]= (\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_0^{2\pi/3}-(\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_{2\pi/3}^{\pi}[/tex]
[tex]= \frac{\pi}{2}+sin\frac{2\pi}{3}+\frac{1}{4}sin\frac{4\pi}{3}-(\frac{3\pi}{4}-\frac{\pi}{2}-sin\frac{2\pi}{3}-\frac{1}{4}sin\frac{4\pi}{3})[/tex]
[tex]= \frac{\pi}{4}+\sqrt3-\frac{1}{4}\sqrt3[/tex]
[tex]= \frac{\pi+3\sqrt3}{3} u^2[/tex]
Therefore, the area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].
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How could you figure out the factors of the number 486 if you don't already know them?
The factors of 486 can be figured out by expressing it as products of its prime numbers, that is 486 = 2 × 3 × 3 × 3 × 3 × 3
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the the number.
The first five prime numbers are 2, 3, 5, and 7. We shall divide the number 486 with prime numbers that are factors beginning with 2;
486/2 = 243
2 is not a factor of 243, the next prime number 3 is, so;
243/3 = 81
81/3 = 27
27/3 = 9
9/3 = 3
3/3 = 1
Therefore, the number 486 expressed as product of its prime factors is 486 = 2 × 3 × 3 × 3 × 3 × 3.
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Translate this sentence into an equation.
Six more than the quotient of a number and 7 is equal to S
Use the variable c for the unknown number.
The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.
What is the quotient?
A quotient is defined as when dividing one number by another, the result is called the quotient.
What is the equation?
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given a variable c therefore, the translation of the given equation :
six more than can be expressed as 6+ or +6.
A quotient, commonly known as c/7, is the solution to a division issue and can also be a fraction.
and "equals 5" is clearly equal to 5 or =5, hence the result is 6 + (c/7) = 5.
The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.
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A town covering an area of 104 km^2 is shaped like a rhombus. Two roads join opposite corners of the town. If one of the roads is 13 km long, how long is the second road?
Give a solution with steps.
Answer:
Pray to Jesus to get your answer
Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Jack's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $24.98 per week. After 6 weeks, he had $125.85 in the account. What was the balance when the account went into overdraft? HELPPPPPPPPPP
Answer:
Step-by-step explanation:
His balance was -24.03
PLEASE HELP
Total snowfall for a December blizzard is given by the equation y=7/4x , where x represents the hours and y represents inches. Total snowfall for a January blizzard is given in the table below.
Rate of snowfall in December =
Rate of snowfall in January =
Snow fell more quickly in:
I only have 1 attempt on this quiz, and I'm not confident my answer is right. I NEED a firm answer.
The snowfall rates are given as follows:
December: 1.75 inches per hour.January: 1.875 inches per hour.Hence, snowfall fell more quickly in: January.
What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
For December, the function is given as follows:
y = 7x/4.
Meaning that the rate is of 7/4 = 1.75 inches per hour.
For January, the rate is calculated as the division of the change in the output from the change in the input on the table, as follows:
k = (11.25 - 5.625)/(6 - 3) = 1.875 inches per hour.
1.875 > 1.75, hence the snow fell more quickly in January.
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Use numerals instead of words. If necessary, use / for the fraction bar. If p - 1 is a factor of p^4 + p^2 + p - k, the value of k is:____.
Use numerals instead of words, the value of k is equal to [tex]p^3[/tex].
Let p and k be two integers. Since p - 1 is a factor of p^4 + p^2 + p - k, then we can express the equation as follows:
[tex](p - 1)(x) = p^4 + p^2 + p - k[/tex]
By expanding the left side of the equation, we can write:
[tex]p^4 - p^3 + p^2 - p + x = p^4 + p^2 + p - k[/tex]
Simplifying the equation, we get:
[tex]-p^3 + x = -k[/tex]
Therefore, the value of k is equal to p^3.
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If p - 1 is a factor of polynomial p^4 + p^2 + p - k, the value of k is: 3
In this question we have been given a polynomial p^4 + p^2 + p - k .
We need to determine the value of k if p - 1 is a factor of p^4 + p^2 + p - k
Since p - 1 is factor of p^4 + p^2 + p - k, p - 1 = 0
Consider p - 1 = 0
p = 1
This means p = 1 is root of given polynomial.
For p - 1 to be a factor the polynomial , on p = 1 submitting should equate to 0
i.e., p^4 + p^2 + p - k = 0
1^4 + 1^2 + 1 - k = 0
1 + 1 + 1 - k = 0
3 - k = 0
3 - k + k = 0 + k
k = 3
Therefore, the value of k is: 3
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State the angle relationship between
The relationships between the angles x and y are given as follows:
Alternate interior angles. and Alternate exterior angles.
What are the Vertical angles ?Vertical angles are angles that are on the opposite by the same vertex, and in item 1, the vertex is the intersection of the upper parallel line with the transversal, hence angles x and y are vertical angles.
Alternate Interior angles;
These are the angles that are on the inner side of the two parallel lines but on opposite sides relative to the transversal, therefore, on item 2 x and y are alternative interior angles.
The Corresponding angles are angles that are on the same position relative to the transversal line, but relative to different parallel lines, thus on item x and y are corresponding angles.
Alternate Exterior angles;
There are angles that are on the opposite sides of the transversal line, and one above the upper parallel line and the other below the lower parallel line, shows that angles x and y are alternate exterior angles in item 4.
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Which property of addition is shown below 3 4i 5 6i 3 5 4i 6i?
The commutative property of addition states that when two numbers are added together, the sum is the same regardless of the order in which the numbers are added. This means that for any two numbers a and b, a + b = b + a.
The commutative property of addition states that for any two numbers a and b, a + b = b + a. This means that when two numbers are added together, the sum is the same regardless of the order in which the numbers are added. For example, in the expression 3 4i + 5 6i, the sum is the same whether we add 3 4i and 5 6i or 5 6i and 3 4i. Thus, the commutative property of addition is demonstrated.
3 4i + 5 6i = 8 10i
5 6i + 3 4i = 8 10i
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In expression 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i the Commutative property of addition is used.
Consider the given mathematical expression,
3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i
We can observe that the position of 4i and 5 is switched.
We know that the Commutative property of addition.
For any two numbers a, b the commutative property of addition:
a + b = b + a
So for numbers 4i and 5, by the Commutative property of addition,
4i + 5 = 5 + 4i ............(1)
3 + 4i + 5 + 6i
= 3 + (4i + 5) + 6i
= 3 + (5 + 4i) + 6i .................(from (1))
= 3 + 5 + 4i + 6i
Therefore, 3 + 4i + 5 + 6i = 3 + 4i + 5 + 6i, by Commutative property of addition.
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6cm+L=11cm
CAN SOMEONE PLEASE HELP ME
Answer:
L = 5cm
Step-by-step explanation:
Subtract 6 from both sides.
L = 11-6 cm
L = 5cm
Brainliest please.
graph f(x)=-x|x+1|-1
include interval
8 ≤ x > 5
Answer:
Here is the answer graphed:
Please help
A rectangular wall is 4x - 5 units high and 2x + 7 units
long. Which polynomial best represents the area of the wall
in square units?
8x² - 38x + 35
8x² + 38x +35
8x² + 18x - 35
8x²-18x - 35
Answer:
[tex]8x^2+18x-35[/tex]
Step-by-step explanation:
(4x-5)(2x+7) -> since its area
8x^2+28x-10x-35
so final answer is
8x^2+18x-35
which means its C
Answer:
8x^2 + 18x - 35 would be ur answer
Step-by-step explanation:
find the volume of a pyramid , where the side length of the base is 16.6 and the height is 10.1
The volume of a square based pyramid is 927.7 cubic centimeter.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a square base pyramid with the side length of the base is 16.6 and the height of the pyramid is 10.1 m.
We know that, the volume of square based pyramid =a²h/3.
Here, volume = 16.6²×10.1/3
= 275.56×10.1/3
= 927.7 cubic centimeter
Therefore, the volume of a pyramid is 927.7 cubic centimeter.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the volume of a pyramid with a square base, where the side length of the base is 16.6 and the height of the pyramid is 10.1 m. Round your answer to the nearest tenth of a cubic meter.
Three different mixtures contain small amounts of acetic acid. Mixture A is 0.036 acetic acid, Mixture B is 4.2% acetic acid, and Mixture C is 1/22 acetic acid. Explain how to use this information to determine which mixture contains the greatest amount of acetic acid.
The mixture that contains the greatest amount of acetic acid is the mixture C.
What is a mixture?A mixture is a substance that contains tow ore more constitutes in various quantities which may or may not be able to be separated.
To determine the mixture with a greater amount of acetic acid, all the mixtures are converted to decimal forms such as the following:
Mixture A = 0.036 acetic acid ( already in a decimal form)
Mixture B = 4.2% = 4.2/100 = 0.042
Mixture C = 1/22 = 0.046
Therefore,the mixture that has the highest amount of acetic acid = mixture C.
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Help me answer this question for 10 points!!!!!!!!!!!!!!!
Tammy weekly pay as a baby sitter is 60 dollars.
The equation that can be used to find the weekly amount Tammy made baby sitting is 45 = 15 + 1 / 2x
How to find the equation that can be use to represent weekly amount made on baby sitting?Tammy receives a weekly pay from her job as a baby sitter. she spent half of this weeks pay at the bowling alley but earn an additional 15 dollars for walking the neighbours dog. She did not spend any additional money and finish the week with 45 dollars.
Tammy weekly pay as a baby sitter can be calculated as follows:
let
x = Tammy weekly pay as a baby sitter
She spent half of it on bowling alley = 1 / 2x
Therefore,
45 = 15 + 1 / 2x
45 - 15 = 1 / 2 x
30 = 1 / 2 x
cross multiply
x = 60 dollars
Therefore,
amount earned baby sitting = 60 dollars
The equation to find her weekly pay is 45 = 15 + 1 / 2x .
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How do you calculate distance in BC?
Distance in BC can be calculated using the distance calculator available on the BC Government website. Simply enter the starting and ending locations, and the distance in kilometres will be calculated.
The BC government provides an online distance calculator which can be used to easily calculate the distance between two locations in the province. To use the calculator, simply enter the starting and ending locations, and the distance in kilometres between them will be calculated. This is a convenient and accurate way to calculate distances in British Columbia. The tool is easy to use and can save time and effort when trying to plan a route or determine how far apart two places are. Furthermore, the calculator is available for free, making it a great option for anyone who needs to quickly and accurately calculate the distance between two locations in BC.
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help! this is due today and i dont know the answer . help !!
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Which point is a solution to y< 6x + 2? (-1,0) (1,8) (0,1) (2,15)
Answer:
(0, 1)
Step-by-step explanation:
Basically, substitute the x and y coordinates into the inequality and check whether the solution tallies with the inequality given.
y < 6x + 2 is the equation provided.
For (-1, 0) , when x = -1 , y = 0 , 0 < 6(-1) + 2 -> 0 < -4 (False)
For (1, 8) , when x = 1, y = 8, 8 < 6(1) + 2 -> 8 < 8 (False)
For (0, 1) , when x = 0, y = 1, 1 < 6(0) + 2 -> 1 < 2 (True)
For (2, 15) , when x = 2, y = 15, 15 < 6(2) + 2 -> 15 < 14 (False)
Hence, the only coordinate that satisfies the inequality is (0, 1)
What the answer to this need it because it are home work for school tomorrow in I got my question I need to post so can someone help me
The angle P in the intersected line is 35 degrees.
How to find the angles in intersected lines?Two angles are called complementary if their measures add to 90 degrees
Therefore, angles N and P are complementary angles.
The angle M is 125 degrees.
Hence, Let's find the measure P.
Therefore,
N + P = 90°
Let's find the angle N. The sum of angle M and N is 180 degrees. The angle M is given as 125 degrees. Therefore,
180 - 125 = N (sum of angles on a straight line)
N = 55 degrees
Therefore, let's subtract the angle N from 90 degrees to get the angle P as follows:
P = 90 - 55
P = 35 degrees.
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1. After each move, record your location in the table. Then write an expression
to represent the ending position that uses the starting position, the speed,
and the time. The first row is done for you.
All the correct values are,
⇒ 0 + 2×8 = 16
⇒ 0 + 6×2 = 12
⇒ 0 + (-1.1) × 5 = - 5.5
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The table is shown in image.
Now,
The complete table is,
Starting position Direction Speed Time Ending position Expression
0 right 2 8 0 + 2×8 16
0 right 6 2 0 + 6×2 12
0 left 1.1 5 0 + (-1.1)× 5 - 5.5
Thus, The complete table is,
⇒ 0 + 2×8 = 16
⇒ 0 + 6×2 = 12
⇒ 0 + (-1.1) × 5 = - 5.5
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These cards can be sorted into three pairs, where each pair adds to the same number. What is this number?
-8
0
-3
4
-1
-4
These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The addition of these following three pairs is given as follows:
-5 + 0 = -5.
-3 - 2 = -5.
-8 + 3 = -5.
Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.
The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.
Therefore, the correct option is C. -5.
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t^2y''-t(t+2y'+(t+2)y=2t^3, t>0, y1(t)=t, y2(t)=te^t
please give a full solution
Step-by-step explanation:
y1(1) = 1 = A + B
y2(1) = e = C + D
