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2 years ago

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)/2 h Solve for a.

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

5 0

Answer:

$a=\frac{2A}{h}-b$

Step-by-step explanation:

Hello, I think I can help you with this.

According to the information provided in the problem, the area of a trapezoid is given by

$A=\frac{a+b}{2} *h\\$

Step 1

solve for a, it means isolate a

$A=\frac{a+b}{2} *h\\divide\ both\ sides\ by\ h\\\\\frac{A}{h}= \frac{\frac{a+b}{2} *h}{h} \\\frac{A}{h}=\frac{a+b}{2}\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*\frac{A}{h}=2*\frac{a+b}{2}\\2*\frac{A}{h}=a+b\\\frac{2A}{h}=a+b\\\\subtract\ b\ for\ both\ sides\\\frac{2A}{h}-b=a+b-b\\a=\frac{2A}{h}-b$

Have a good day.

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2 years ago

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Read 2 more answers

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Galina-37 [17]

Hey there! :)

Answer:

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Step-by-step explanation:

Given:

5x + y = 2

2x - 3y = 62

We can use substitution to solve this problem. Rearrange the first equation in terms of y:

5x + y = 2 ---> y = -5x + 2

Substitute in this equation for y into the second equation:

2x - 3(-5x + 2) = 62

Distribute -3:

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Combine like terms:

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Add 6 to both sides:

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Divide both sides by 17:

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Plug in this value for x into an equation to solve for y:

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Therefore, the solutions to this system of equations are:

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