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2 years ago

10

the area of a trapezoid is 36 square inches. The height is 4 inches and one bases twice the length of the other base. What are t

he lengths of the bases?

2 answers:

vlada-n [284]2 years ago

8 0

The formula for this is $A= \frac{1}{2} ( b_{1} + b_{2} )h$ . Filling in accordingly, $36= \frac{1}{2}(x+2x)(4)$ . This simplifies to $36= \frac{1}{2}(3x)(4)$ and 36=6x. Therefore, x = 6 so the bases are 6 and 12.

PtichkaEL [24]2 years ago

5 0

6 and 12 is the correct answer

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Answer:

15 and 20.

Step-by-step explanation:

The 2 numbers are both divisible by 5.

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2 years ago

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Answer:

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

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$m\rightarrow$ slope of line

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Let linear function to calculate total cost of gym be:

$c(n)=mn+b$

where

$c\rightarrow$ total cost of gym

$m\rightarrow$ cost per month (slope)

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For Gym 1

$m=20$ , $b=12$

$c(n)=20n+12$

For Gym 2

$m=22$ , $b=4$

$c(n)=22n+4$

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months $(n)$

$20n+12=22n+4$

$\\\textrm{Subtracting 22n from both sides}\\20n-22n+12=22n-22n+4\\-2n+12=4\\\textrm{Subtracting 12 from both sides}\\-2n+12-12=4-12\\-2n=-8\\\textrm{Dividing both sides by -2}\\\frac{-2}{-2}n=\frac{-8}{-2}\\n=4\textrm{ months}$

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3 years ago

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Step-by-step explanation:

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3 years ago

(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the

prohojiy [21]

Answer:

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Step-by-step explanation:

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2 years ago