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White raven [17]

2 years ago

7

A rectangle has a width of 9 units and a length of 40 units. what is the length of a diagonol?

1 answer:

Andrej [43]2 years ago

3 0

Answers: 41 Units

You can split the rectangle into two right triangles with the side lengths 9 and 40. Then you use the Pythagorean theorem to solve for the hypotenuse (the diagonal of the rectangle). So:
C^2=9^2 + 40^2
C^2 = 1681
Square root both sides
C=41

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Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?

aliina [53]

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Step-by-step explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

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Multiply by 2, so we have:

2(x-6)

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Subtract 40, then divide by 4:

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$\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42$

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