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Inessa [10]
3 years ago
9

What is the are of this trapezoid please help

Mathematics
1 answer:
Luden [163]3 years ago
4 0

Answer:

Area = 30 in.

<h3>Step-by-step explanation:</h3>

the formula for an area of a trapezoid is A = (a+b)/2 × h

a = base (or bottom)

b = 2nd base (or top)

h = height

set up your equation as A = (10 + 5)/2 × 4

A = 15/2 × 4

A = 7.5 × 4

A = 30

The area of the trapezoid is 30 in.

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Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for x \geq 0, such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

y = mx + 15

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

y = mx + 15

232 = 3.5m + 15

m = \frac{232 - 15}{3.5}

Hence, the correct option is:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

You can learn more about linear function concepts at brainly.com/question/24808124

7 0
2 years ago
Calculate the volume of a container that is 10ft high, 3ft wide, and<br> 6ft long.
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Answer:

180 cubic feet

Step-by-step explanation:

10 * 3 * 6 = 180 feet

Use formula V = lbw for a container or cuboid

5 0
3 years ago
Which one of the following is not closed under the operation being performed
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Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is B.

A. (14x-2)3(x-2)=14 x^{2} -90x+10. The result is still a polynomial; therefore, answer A is incorrect.

B. \frac{(14x-2)}{3(x-2)} =  \frac{14}{3} with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.

C. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer C is incorrect.

D. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer D is incorrect.
4 0
3 years ago
in the equation 6+3y=4y+2 the variable y represents the same value. Is y= 2,3,4 or 5 the solution of this equation? Explain how
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6 + 3y = 4y +2
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