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MA_775_DIABLO [31]
3 years ago
11

Determine the ratio equivalent to cos Q.

Mathematics
1 answer:
disa [49]3 years ago
5 0
<h3>Answer:   cos(Q) = 5/13</h3>

=========================================================

Work Shown:

The triangles are similar, which means the corresponding angles are congruent. In this case, we can say angle K = angle Q. Note how K and Q are the second letters of JKL and PQR respectively. The order matters.

Because angle K = angle Q, we can use information from triangle JKL to get information about triangle PQR.

We can say the following:

cos(angle) = adjacent/hypotenuse

cos(K) = LK/JK

cos(K) = 5/13

cos(Q) = 5/13 ... plug in K = Q

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If 1 skip equals 4 hops, and 1 jump equals 3 skips, what is the total number of hops in a hop, a skip and a jump
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There are 17 hops in a hop, a skip, and a jump.

<h3></h3><h3>How to perform changes of units?</h3>

We have the relations:

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How many hops are in a hop, a skip and a jump?

So we have:

1 hop + 1 skip + 1 jump.

First, using the second relation we rewrite:

1 hop + 1 skip + 3 skips = 1 hop + 4 skips.

Now, using the first relation:

1 hop + 4 skips = 1 hop + 4*(4 hops) = 1 hop + 16 hops = 17 hops.

There are 17 hops in a hop, a skip, and a jump.

If you want to learn more about changes of units:

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62

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The upper figure is a rectangle.

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Now the bottom rectangle can be found the same way.

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Area = 42

The total area = 42 + 20

Total area = 62.

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