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Bess [88]
2 years ago
8

What is the length of EF?

Mathematics
1 answer:
pantera1 [17]2 years ago
7 0

Answer:

  (a)  3.8

Step-by-step explanation:

The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.

__

<h3>compare angles</h3>

The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.

<h3>compare sides</h3>

Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.

  EF > DE

  EF > 3

Only one answer choice satisfies this inequality.

  EF = 3.8

__

<em>Additional comment</em>

If you want to do the actual computation, we have ...

  EF/sin(D) = DE/sin(F)

  EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828

  EF ≈ 3.8

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Step-by-step explanation:

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Drag steps in the given order to evaluate this<br> expression.<br> (-5)(2) – 2(-3) + 3
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Step-by-step explanation:

using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem

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4 0
3 years ago
Which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3
defon
You can solve this problem by applying the proccedure below:
 
 You have:
 
 a) 18/21=2/3
 18x3/21x2
 36≠42 (2/3 is not proportinal to 18/21).
 
 b)18/21=30/35
 18x35/21x30
 630=630  (30/35 is proportional to 18/21)
 
 c)18/21=36/48
 18x48/21x36
 864≠756  (36/48<span> is</span><span> not proportinal to 18/21)
</span> 
 d)18/21=1/3
 18x3/21x1
 54≠21  (<span> 1/3 is</span><span> not proportinal to 18/21)
</span> 
 Therefore, you can conclude that the correct option is: B.30/35
8 0
3 years ago
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