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Travka [436]
4 years ago
7

A sandbox with points A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at

a point in the middle. The lengths of A D and A B are 29 inches. The lengths of D C and B C are 25 inches. The distances from point D to the middle point and from the middle point to point B are congruent. Kara is building a sandbox shaped like a kite for her nephew. The top two sides of the sandbox are 29 inches long. The bottom two sides are 25 inches long. The diagonal DB has a length of 40 inches. What is the length of the diagonal AC? inches
Mathematics
1 answer:
marshall27 [118]4 years ago
8 0

Answer:

36 INCHES!!!

Step-by-step explanation:

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Suppose y varies inversely with x, and y = 18 when x = 12. What is the value of x when y = 24? NO LINKS OR ANSWERING YOU DON'T K
Luba_88 [7]

Answer:

B. 9

Step-by-step explanation:

We are given that <em>y</em> varies inversely with <em>x</em>. Recall that inverse variation has the form:

\displaystyle y=\frac{k}{x}

Where <em>k</em> is the constant of variation.

We are given that <em>y</em> = 18 when <em>x</em> = 12. Hence:

\displaystyle (18)=\frac{k}{(12)}

Solve for <em>k. </em>Multiply both sides by 12:

k=12(18)=216

Thus, our equation is:

\displaystyle y=\frac{216}{x}

We want to find <em>x</em> when <em>y</em> = 24. Substitute:

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Cross-multiply:

24x=216

Divide both sides by 24. Hence:

x=9

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