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TEA [102]
2 years ago
13

Solve the triangle. Round your answers to the nearest tenth.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

  B.  m∠B = 118°, a = 17, c = 18

Step-by-step explanation:

The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.

We can verify angle B is ...

  ∠B = 180° -30° -32° = 118°

By the law of sines, ...

  a/sin(A) = b/sin(B)

Multiplying by sin(A), we get ...

  a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855

  a ≈ 17.0 . . . units . . . . . matches choice B

__

If you like, you can also verify side c:

  c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512

  c ≈ 18.0 . . . units

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strojnjashka [21]
Formula for volue of cylinder is area time height. Lets find area
A=\pi r^2
diameter=2r
8=2r
r=4
Now substitute r to A= \pi r^2
A=\pi 4^2= 16\pi
Now we have formula
V=16 \pi *height=16 \pi *9=144 \pi - its the result, so B 
7 0
3 years ago
Find the slope of the line perpendicular to the line graphed below. MUST BE IN ITS SIMPLEST FORM.
NNADVOKAT [17]

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

<h3>How to determine the slope of a line perpendicular to another line</h3>

The slope of a function is determined by the secant line formula and is defined by the following expression:

m = Δy / Δx         (1)

Where:

  • Δx - Change in the independent variable.
  • Δy - Change in the dependent variable.
  • m - Slope of the line.

Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:

m' = - 1 / m

If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:

m = 3 / 2

m' = - 1 / (3 / 2)

m' = - 2 / 3

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

To learn more on slopes: brainly.com/question/2491620

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3 0
1 year ago
Find the value of x. Round your answer to the nearest whole degree.
Firdavs [7]

Answer:

35

Step-by-step explanation:

sin is opposite over hypotenuse

sin x = 8/14

7 0
3 years ago
Solve for m.<br> m−14.6=9.74<br><br><br> 4.86<br><br> 23.34<br><br> 24.34<br><br> 25.34
8090 [49]
24.34 that's true ~~~~~~~~`
3 0
3 years ago
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1/3 of the wall takes 1/2 gallon paint.

3(1/3 wall) takes 3(1/2 paint)

1 wall takes 3/2 paint

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7 0
3 years ago
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