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Lady bird [3.3K]
3 years ago
7

What is the measure of the missing angle?

Mathematics
2 answers:
Luda [366]3 years ago
8 0

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19

Pavlova-9 [17]3 years ago
8 0
Hope this helps! feel free to clarify

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(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

Answer:

  a) cos(α+β) ≈ 0.8784

  b) sin(β -α) ≈ -0.2724

Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

  sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524

  cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820

__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

  = 0.926×0.993820 -0.377524×0.111

  cos(α+β) ≈ 0.8784

__

b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)

  = sin(-15.8074°)

  sin(β -α) ≈ -0.2724

4 0
3 years ago
45-2x(15-3) I need help finding out the answer to this problem because the answer I got I think it is wrong
gizmo_the_mogwai [7]
45 - 2*(12)
45 - 24
21

Hope this helps!
6 0
3 years ago
ANSWER ASAP!
morpeh [17]

Answer:

vvvvvcvv

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the equation for the graph shown below?
ValentinkaMS [17]

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

4 0
2 years ago
Find the area of the regular 20​-gon with radius 77 mm.
butalik [34]
The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area = <span> <span> <span> 36,643.59 </span> </span> </span> / 2
area = 18,321.8 square millimeters


3 0
3 years ago
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