On solving the provided question, we can say that - the interest ant the end of the time will be 4500
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here,
P = 100000
R = 4.5
T = 1
SI = PRT/100
SI = 100000 X 4.5 X 1/100 = 4500
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Ashley measured a line to be 3. 9 inches long. If the actual length of the line is 4. 1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?.
The Percentage of error of the measurement is 5.1 %
The formula of percentage of error
[tex]\delta = \left| \frac{v_A - v_E}{v_E} \right| \cdot 100\%[/tex]
where
[tex]\delta[/tex] is the percent error
Va is the actual value observed
Ve is the expected value of the measurement
The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error or expected error is multiplied by 100 to calculate the percent error.
the percent error is
((Estimated Number - Actual Number)/ Actual number) x 100 equals percentage error.
[tex]\delta = \left| \frac{4.1- 3.9}{3.9} \right| \cdot 100\%[/tex]
=> 0.2 / 3.9 x 100
=> 0.0512 x 100
=> 5.12%
The percentage error in the measurement is 5.1%
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The percent error of the measurement is 5.1%, to the nearest tenth of a percent.
To calculate the percent error of the measurement, the formula is:
(|Actual Value - Measured Value|/Actual Value) * 100 = Percent Error
In this case, the actual value is 4.1 inches and the measured value is 3.9 inches. So the calculation is:
(|4.1 - 3.9|/4.1) * 100 = 5.1%
Therefore, the percent error of the measurement is 5.1%, to the nearest tenth of a percent.
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1. The elevator has a maximum weight of 1,700 pounds. If there are already 4 people in the elevator that weigh a total of 560 pounds, write an inequality showing the the amount of weight that can still be added to the elevator.
2. The elevator has a maximum weight of 2,500 pounds. If there are already 5 people in the elevator that weigh a total of 660 pounds, write an inequality showing the the amount of weight that can still be added to the elevator.
3. The elevator has a maximum weight of 1,800 pounds. If there are already 3 people in the elevator that weigh a total of 480 pounds, write an inequality showing the the amount of weight that can still be added to the elevator.
the probability possible amounts of time for which they could rent the meeting room for a maximum of six hours
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
[tex]t = time\\44 + 7.30t < 87.80\\7.30t < 43.80\\t < 6[/tex]
They may reserve the room for a maximum of six hours.
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You are going to order a one-topping pizza from your favorite pizzeria. You can get the pizza on thin crust, traditional crust, or deep-dish. The toppings you have to choose from are pepperoni, sausage, onions, mushrooms, peppers, and extra cheese. You also have to choose whether to pick it up or have it delivered. How many combinations are there for you to choose from?
The number of combinations you have is 36.
What are Combinations?Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.
First consider the pizza we can buy with two group of specifics.
You can get the pizza on thin crust, traditional crust, or deep-dish.
The toppings you have to choose from are pepperoni, sausage, onions, mushrooms, peppers, and extra cheese.
Each of the crusts, thin crust, traditional crust and deep dish can be topped with 6 toppings
Number of combinations from these two = 6 × 3 = 18
Each of these options have two options, whether to pick it up or have it delivered.
Total number of combinations = 18 × 2 = 36
Hence you have 36 combinations to choose from.
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using the map distances find the actual distance if the map uses the scale 4in:30 mi. A 2inches B 7inches C 5.5 inches D 10inches
The actual distances, considering the scale 4 inches = 30 miles, are given as follows:
A. 2 inches = 15 miles.
B. 7 inches = 52.5 miles.
C. 5.5 inches = 41.25 miles.
D. 10 inches = 75 miles.
How to find the actual distance?The scale given is a proportion, which represents the relation between the represented distance and the actual distance.
The scale is given as follows:
4 inches = 30 miles
Meaning that each inch in the drawing represents an actual distance of 7.5 miles, as 30/4 = 7.5.
Then the actual distances for each item, in miles, are found multiplying the given distances in inches by 7.5, which is the scale factor of the scale.
For example, in item a, we have that:
2 inches = 2 x 7.5 = 15 miles.
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five hundred values are normally distributed with a mean of 125 and a standard deviation of 10 wat interval about the mean includes 95% of the data
The required interval is (105.4, 144.6) about the mean includes 95% of the data.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
The data is given in the question below as:
X ~ N ( µ = 125 , σ = 10 )
P ( a < X < b ) = 0.95
Dividing the area 0.95 in two parts we get 0.95/2 = 0.475
Since 0.5 area in the normal curve is above and below the mean
The area below the mean is a = 0.5 - 0.475
The area above the mean is b = 0.5 + 0.475
For the probability 0.025 in standard normal table to calculate critical value Z = -1.96
For the probability 0.975 in standard normal table to calculate critical value Z = 1.96
Z = ( X - µ ) / σ
-1.96 = ( X - 125 ) / 10
a = 105.4
1.96 = ( X - 125 ) / 10
b = 144.6
P ( 105.4 < X < 144.6 ) = 0.95
Hence, the required interval is (105.4, 144.6).
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Suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. What is the probability that the penny and dime both come up the same
The likelihood that the penny and dime both appear is [tex](1/2)^ 4=1/16[/tex]
The likelihood of one is half: It will display heads roughly half the time (all values in this answer will be averages). Only 50% of the time will the second coin reveal heads when the first one displays heads. Now, only 25% of the time remains. Only 50% of the time will the third coin reveal heads when the second coin displays heads. 1/8 of this.
Each coin has a potential for two states (heads or tails). In total, the four coins have 24=16 different permutations (states) that they might be in. Only one of these combinations results in all heads. This results in a result of 1/16. And just 50% of the time will the fourth coin also reveal heads when the third coin also displays heads. 1/16 is one-half of 1/8.
[tex](1/2)^ 4=1/16[/tex]
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Answer:
1/2
Step-by-step explanation:
There are $2^4=16$ possible outcomes, since each of the 4 coins can land 2 different ways (heads or tails). There are 2 possibilities for the penny and the dime: either they're both heads or they're both tails. There are also 2 possibilities for the nickel and 2 possibilities for the quarter. So there are $2 \times 2 \times 2 = 8$ successful outcomes, and the probability of success is $\dfrac{8}{16} = \boxed{\dfrac{1}{2}}$.
Expresa 45° en radianes?
45° is approximately equal to 0.7853981633974483 radians.
What is the radian?
A radian is a unit of measurement for angles in mathematics. It is defined as the measure of an angle formed by wrapping the circumference of a circle around its center point, with the length of the circumference equal to the radius of the circle.
45° in radians can be calculated using the conversion formula:
radians = (degrees * π) / 180
So, to convert 45° to radians:
radians = (45 * π) / 180
radians = (45 * 3.14159265) / 180
radians = (141.3 / 180) * π
radians = 0.7853981633974483 radians
Hence, 45° is approximately equal to 0.7853981633974483 radians.
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How do you find the equation of a dilated line?
You can find the equation of a dilated line by using the formula (x – m)/k = (y – n)/k
There are some steps you can take in order to find the equation of a dilated line. First, you will need to identify the coordinates of the line’s endpoints.
Then, you will need to find the midpoint of the line and the scale factor of the dilation. Once you have those two pieces of information, you can use the formula for a dilated line to find the equation.
Specifically, the equation will be (x – m)/k = (y – n)/k, where m and n are the coordinates of the midpoint and k is the scale factor.
With this formula, you can find the equation of any dilated line.
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Simplify the following
i. (x²- y²)² + 4x²y²
Answer:
[tex]x^{4}[/tex] + 2x²y² + [tex]y^{4}[/tex]
Step-by-step explanation:
(x² - y²)² + 4x²y²
= (x² - y²)(x² - y²) + 4x²y²
= x²(x² - y²) - y²(x² - y²) + 4x²y² ← distribute parenthesis
= [tex]x^{4}[/tex] - x²y² - x²y² + [tex]y^{4}[/tex] + 4x²y² ← collect like terms
= [tex]x^{4}[/tex] - 2x²y² + [tex]y^{4}[/tex] + 4x²y²
= [tex]x^{4}[/tex] + 2x²y² + [tex]y^{4}[/tex]
A book costs $25. It goes on sale for $22. What
47 the percent of decrease?
A
14%
B
88%
C
12%
D
86%
round 55.678 to the nearest hundred
Answer:
55.68
Step-by-step explanation:
55.678 rounded to the nearest hundred would be 55.68.
Answer:
55.68
Step-by-step explanation:
because
on a certain day, the temperature in degrees fahrenheit, ina s mall town t hours after midnight is modeled by the function g(t_
Based on the given function, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is 57.797°. (Option B)
The temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). Hence, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is given by:
1/((6-3)) ∫_3^6▒〖(65-8 sin(πt/12)dt〗
65/3 t+ 32/π cos(πt/12)
(65π-16√2)/π
57.797
Note: The question is incomplete. The complete question probably is: On a certain day, the temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). What is the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit? A) 57.609° B) 57.797° C) 58.172° D) 59.907°.
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How do you find the missing side of an AAS triangle?
To find the missing side of an AAS triangle, use the Pythagorean Theorem and the known lengths of the other two sides to calculate the length of the missing side.
An AAS triangle (angle-angle-side) is a triangle where two angles and one side length are known. To find the missing side, the Pythagorean Theorem must be used. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two sides must equal the square of the hypotenuse. To use this theorem, the two known sides must be squared and added together. The resulting number must then be equal to the square of the missing side. Once the result is equal, the square root of the result will give you the length of the missing side. For example, if two sides of a triangle are given as 3 and 4, the Pythagorean Theorem can be used to calculate the missing side. Squaring and adding the two sides together (3^2 + 4^2) will result in 25. Taking the square root of this result will give you the length of the missing side, which is 5.
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Maria brought home a delicious, mouth watering Italian submarine sandwich, dripping with delicious dressing, that was 6 1/8 feet long. She was going to share it with 6 of her friends. if Maria and her friends were able to share the sub equally, how much of the sub each person get?
Using division, the length of the sandwich each friends got was 1.02083ft
What is DivisionDivision is a mathematical operation that divides one number (the dividend) by another (the divisor) to find the answer (the quotient). It is one of the four basic operations in mathematics, along with addition, subtraction, and multiplication.
To determine the size each one got, we have to divide the total length of the sandwich by the number of friends.
We need to convert the mixed fraction into improper fraction or decimal
6 1/8 = 49/8 = 6.125
Now, let's divide this by 6
6.125 / 6 = 49/48 = 1.02083
The length each of her friends will get is 1.02083ft
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6. Simplify the following
i. (p + q)² - (p - q)² + p²q²
ii. (2m - 8n)²+ (2m + 8n)²
How do you find the measure of an angle in 8th grade?
The amount of rotation that is required to bring one side of an angle to the same position as the other is what is referred to as the measure of an angle. Degrees (°) are used as the unit of measurement for angles. One complete turn encompasses all 360 possible degrees.
There are several ways to find the measure of an angle in 8th grade geometry:
Use a protractor: To use a protractor, you need to line up one side of the angle with the protractor's base, and then read the degree measurement as the other side of the angle meets the protractor's scale.Use a straightedge and a compass: If you don't have a protractor, you can use a straightedge and a compass to measure the angle. First, use the compass to draw two arcs that intersect at the vertex of the angle. Then use the straightedge to draw a line segment connecting the endpoints of the arcs. The measure of the angle is the degree measurement of the larger arc.Use the properties of angles: In 8th grade geometry, you may also learn about the properties of angles, such as complementary angles (which add up to 90 degrees), supplementary angles (which add up to 180 degrees), and vertical angles (which are always congruent). By using these properties, you can find the measure of an angle by measuring other angles in the same diagram.Use trigonometry: If you have learned about trigonometry, you can use trigonometric ratios (such as sine, cosine, and tangent) to find the measure of an angle in a right triangle. To do this, you will need to know the lengths of at least two sides of the triangle.Learn more about measures of the angles here: brainly.com/question/25215131
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Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits.
The total number of dried fruits are 21, while the total number of nuts are 33 and the total pieces are 18.
As per the given data in the question, there are 54 total fruits in the bag, mixed in a ratio of 11 to 7.
Here we have to determine the total number of dried fruits and total number of nuts.
How is the ratio calculated?First, we have to find the percentage of nut or dried fruit present.
The ratio of fruits to nuts be 7 : 11.
The total pieces are:
7 + 11 = 18
This means that the percentage would be
[tex]\frac{7}{18}[/tex] = 38.889%
[tex]\frac{11}{18}[/tex] = 61.111%
This is the ratio in which they are shared. Then we move on to calculate the final contents of the bag.
[tex]\frac{7}{18}[/tex] × 54 = 21 fruits
[tex]\frac{11}{18}[/tex] × 54 = 33 nuts
This means that there are 33 nuts in the bag, to 21 dried fruits.
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Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits. Calculate the total number of dried fruits, the total number of nuts and the total pieces?
There are 77 number of nuts in the bag.
To find the number of nuts in the bag of trail mix, we must first calculate the total number of fruits in the bag. Since the bag contains 54 pieces of nuts or dried fruits, and there are 11 nuts for every 7 fruits, we can divide 54 by 7 to find the number of fruits. This yields 7.714, which, when rounded to the nearest whole number, is 8. We then multiply 8 by 11 to find the number of nuts in the bag. 8 x 11 = 88. Thus, there are 77 nuts in the bag.
Fruits = 54 / 7 = 7.714 (rounded to 8)
Nuts = 8 x 11 = 88
the complete questiion is : Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits. How many nuts are in the bag?
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The cube root of r varies inversely with the square of s. Which two equations model this relationship?.
Answer:
The two equations are: r^(1/3) * s^2 = k and 1/s^2 = k * r^(1/3) where k is a constant.
Step-by-step explanation:
Two equations that model the relationship "the cube root of r varies inversely with the square of s" are:
r^(1/3) * s^2 = k
1/s^2 = k * r^(1/3) (where k is a constant)
In the first equation, the cube root of r is on one side of the equation and the square of s is on the other side, with a constant k connecting them. This represents the inverse relationship between the two variables.
In the second equation, both sides are equal to a constant k, with the reciprocal of the square of s on one side and the cube root of r on the other. This also represents the inverse relationship between the two variables, because if one variable increases, the other will decrease and vice versa.
These two equations are interchangeable, and they both represent the inverse variation between the cube root of r and the square of s. In both of them, the value of k can be determined by any pair of r and s values.
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what element in the domain has image 6 under the function g(x)=2x÷3
The element in the domain has image 6 under the function g(x) = 2x ÷ 3 is 9.
What is domain?The collection of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The collection of potential output values that make up the range is represented by the y-axis.
Given:
g(x) = 2x ÷ 3
The image is 6,
g(x) = 6 (Given)
Calculate the value of the domain as shown below,
6 = 2x / 3
6 × 3 = 2x
x = 18 / 2
x = 9
Thus, the domain is 9.
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The sales tax on a 10,800.00 appliance is 1, 620.00 what is the rate of sales tax?
Answer:
15%
If this help please set brainly brainliest.
Step-by-step explanation:
To determine the rate of sales tax, you will need to divide the amount of sales tax by the price of the appliance. In this case, the rate of sales tax is $1,620.00 / $10,800.00 = 0.15, or 15%.
Answer:
15%
Step-by-step explanation:
Given:
$10,800.00 = Price of appliance$1,620.00 = Sales taxTo find the rate of sales tax, divide the amount of tax by the price of the item:
[tex]\implies \textsf{Rate}=\dfrac{1620}{10800}=0.15=15\%[/tex]
Therefore, the rate of sales tax is 15%.
feel
wacom
Triangle OPQ, with vertices O(3,4), P(8,3), and Q(4,8), is drawn inside a rectangle, as
shown below.
What is the area, in square units, of triangle OPQ?
Use the equation area = 1/2 * base * height to get a triangle's surface area. Decide which side will serve as the triangle's base, and then calculate the triangle's height from that base.
What is the Area of a Triangle?Calculating the area of triangles. Use the equation area = 1/2 * base * height to determine the area of a triangle. Determine the triangle's height from the base by picking a side to serve as the base.
The space encircled by a triangle's three sides is known as its area. According to the type of triangle, it is computed using a variety of formulas and expressed in square units like cm2, inches2, and so on.
If the base and height of the triangle are known, the area of the triangle may be computed. The area of a triangle is calculated using the following fundamental formula: Area of triangle = 1/2 (base height).
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you are a member of a team with ten persons. the mean age of team members equals 58 years. three team members who happen to be the same age leave the team. if the mean ago of remaining team members equals 55 years, how old were the members who left? (1 point)
The age of the 3 members who left the team is 65 years.
Let "x" be the age of the 3 team members who left the team.
The mean age of all the 10 members was 58 years. So, the total sum of all the 10 members ages was 580 years.
Now, the mean age of the remaining 7 members after the leaving of 3 members is 55 years. So, the total sum of the 7 remaining members ages is 385 years.
Therefore, the total sum of the 3 members who left the team is (580-385) = 195 years.
Since the 3 members are of the same age, the age of each member is (195/3) = 65 years.
Hence, the age of the 3 members who left the team is 65 years.
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If f(x)=(3+x)/(x-3), what is f(a+2)
The value of f(a+2) = (5 + a) / (a - 1). so the correct option is B.
What are Functions?In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Now we directly substitute the a + 2 to the all the x's in the function such that,
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Then Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)
The correct option is B.
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Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx
The indefinite integral is [tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex].
The indefinite integral is [tex]& \int x(2 x+5)^8 d x[/tex]
u=2x+5
du=(2)dx.
[tex]& x=\frac{u-5}{2} \\[/tex]
An integral which is not having any upper and lower limit is known as an indefinite integral.
Mathematically, if F(x) is any anti-derivative of f(x) then the most general antiderivative of f(x) is called an indefinite integral and denoted,
∫f(x) dx = F(x) + CWhere,
∫ f(x) dx =Integral of f with respect to x An integral of f= A function F such that F′(x) = f (x)Constant of Integration = Any real number C, considered as constant functionIntegration=The process of finding the integralAnti derivatives or integrals of the functions are not unique. There exist infinitely many antiderivatives of each of certain functions, which can be obtained by choosing C arbitrarily from the set of real numbers. For this reason, C is customarily referred to as an arbitrary constant. C is the parameter by which one gets different antiderivatives (or integrals) of the given function.
[tex]& \Rightarrow \int\left(\frac{u-5}{2}\right) u^8\left(\frac{1}{2}\right) d u \text {. } \\[/tex]
[tex]& \Rightarrow \quad \frac{1}{4} \int\left(u^9-5 u^8\right) d u \\\\& \Rightarrow \quad \frac{1}{4}\left[\frac{u^{10}}{10}-\frac{5 u^9}{9}\right] \\&[/tex]
Then differentiative u=2x+5 is
[tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex]
Therefore, the integral is [tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex]
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Help geometry plsbsbebbed
Answer:
x = 18
Step-by-step explanation:
This is a special right triangle with angle measures 90°-60°-30°.
For this special triangle the side lengths would be represented by 2a-a√2-a respectively.
The side length that sees angle measure 30° which is represented by a, is given as 9.
Then the side length that is represented with 2a would be 18.
Can you help me? Algebra I
Wendell didn't make it in Nashville. Now he only has $12 in nickles and dimes left to his name, barely enough to pay for a bus ticket back home. If Wendell has 3 times as many nickles as dimes, how many dimes does he have?
________Dimes
Wendel has left 144 nickels and 48 dimes to pay for a bus ticket back home.
How to solve an equationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of nickels and y represent the number of dimes.
Each nickel is 5 cents (0.05) and each dime is 10 cents (0.1). Hence:
Wendell has $12 in nickels and dimes, hence:
0.05x + 0.1y = 12
0.1y = 12 - 0.05x
y = 120 - 0.5x (1)
Wendell has 3 times as many nickels as dimes, hence:
x = 3y (2)
Using substitution method:
Substituting y = 120 - 0.5x in eqn 2 gives:
x = 3(120 - 0.5x)
x = 360 - 1.5x
x = 144
y = 120 - 0.5(144) = 48
Wendel has 144 nickels and 48 dimes.
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Which of the following is an example of SSS Similarity Theorem
a. 3: 10 = 5:15
c. 4:12= 2:6
b. 30:10 = 5:6
d.3:4= 5:6
if three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.
d. 3:4= 5:6
The SSS Similarity Theorem states that if three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.The ratio 3:4=5:6 is a proportion, so it can be used to prove that the two triangles are similar using the SSS Similarity Theorem.
The answer is d. 3:4= 5:6, which is an example of the SSS Similarity Theorem, which states that if three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.
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two solid sphere Have volume 250 cm^3and 128 cm ^3 respectively find the ratio of the air Radii(wASSCE)
The radius of the sphere has a ratio of 5/4.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, two solid spheres Have volumes of 250 cm^3and 128 cm ^3 respectively
Since, Volume of sphere = 4/3 pi r³
Where r is the radius
That means volume is directly proportional to r³
The ratio of volumes:
v₁/v₂ = r₁³/r₂³
r₁³/r₂³ = 250/128
r₁³/r₂³ = 125/64
in other terms
r₁/r₂ = 5/4
Therefore, the ratio of the radius of the given spheres is 5/4.
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2 Which ratios are equivalent to 8:12? Select all that apply.
A 4:6
B 12:8
C 16:20
D 24:36
E 56:84
Answer:The ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'Then, their ratio(ratio of a to b) a:bWe usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).Suppose that we've got a = 8, and b= 12, So, the ratios are equivalent to 8 : 12A 4 : 6D 24 : 36E 56 : 84
Step-by-step explanation:
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Find the area of the triangle
A= ft2
2/3
4
3
The area of the triangle is 6 ft^2.
What is the area of the triangle?
In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.
The values of base (b) and height (h) of triangle is given as -
h=4 ft
b=3 ft
The formula for area of triangle is -
A = hb/2
Plugging in the values in the equation -
A = (4 x 3)/2
A = 12/2
A = 6 ft^2
Therefore, the area of the triangle is obtained as 6 ft^2.
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