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chubhunter [2.5K]
2 years ago
15

For questions 15-17 use this triangle.

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
8 0

Answer:

Part A)  The length of the hypotenuse of triangle ABC is

 

Part B) The length of the shorter leg of triangle ABC is

Part C) The length of the longer leg of triangle ABC is

Step-by-step explanation:

see the attached figure  to better understand the problem

Step 1

Find the length of the longer leg of triangle ABC  (side BC)

we know that  

In the right triangle DBC  

substitute the values and solve for BC

Step 2

Find the length of the shorter leg of triangle ABC  (side AC)

we know that  

In the right triangle ACD

substitute the values and solve for AC

Step 3

Find the length of the hypotenuse of triangle ABC (side AB)

Applying the Pythagoras theorem

we have

substitutes

 

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Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}

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The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

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<u><em>Solution = Option A</em></u>

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