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ryzh [129]
3 years ago
15

In triangle DEF, m∠D=45, m∠E=63, and EF=24 in. What is DE to the nearest tenth of an inch?

Mathematics
1 answer:
miskamm [114]3 years ago
6 0
In order to use the Law of Sines, EF has to be the included side.  Therefore, we need to calculate angle F which is 72 degrees.

side f / sine (F) = side d / sine (D)
side f / sine (72) = side 24 / sine (45)
side f  = sine (72) * 24 / sine (45)
side f  = 0.95106 * 24 / .70711
side f (DE) = <span> <span> <span> 32.2798998741 </span> </span> </span>

answer is C


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<h3>Answer:  864</h3>

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

Work Shown:

There are,

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This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

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Multiply the values of A and B to get the final answer

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There are 864 ways to order a coffee and bagel at this restaurant.

--------------

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

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