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zmey [24]
4 years ago
10

Find the value of x. Round to

Mathematics
1 answer:
vladimir1956 [14]4 years ago
6 0

Answer:

sin24= x÷31

x= 31sin24

x= 12.608

x= 13°

Step-by-step explanation:

Since the triangle is a right angled triangle then we are to apply the trigonometric ratio, using

\sin( \alpha )

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What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ?
jasenka [17]

Answer:

Step-by-step explanation:

(8-8)/(-14+4) = 0/-10 = 0 is the slope

4 0
3 years ago
Find the length of the side not given when c is the hypotenuse and a and b are the legs. A=9 and C=13
love history [14]
Use the Pythagprean theorem:
c^2=a^2+b^2
We have:
a=9;\ c=13
Substitute:
9^2+b^2=13^2\\\\81+b^2=169\ \ \ |-81\\\\b^2=88\to b=\sqrt{88}\\\\b=\sqrt{4\cdot22}\\\\Answer:\ b=2\sqrt{22}\approx9.38

5 0
4 years ago
Read 2 more answers
Eve plays basketball. She makes 5 free throws for every 3 free throws that she misses. If she missed 24 free throws at her last
juin [17]

Answer:

40

Step-by-step explanation:

Use the ratio 5:3 to answer the question.

5 = made free throws

3 = missed free throws

If she misses 24 free throws, compare the ratios 5:3 to x:24 (you are solving for x)

24 divided by 3 is 8, so multiply 5 by 8

You would get 40

6 0
3 years ago
Read 2 more answers
Find the surface area of the triangular prism (above) using its net (below).
hodyreva [135]
This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.

Formula for (Area of Rectangle)= length x width

Formula for (Area of Triangle)= 1/2 base x height

Now, we have the formulas. Let’s get started!

(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.

Triangles~ the base is 6 and the height is 4.

1/2 (6 x 4) = 12

However, there’s two triangles. (of the same size)

12 x 2 = 24

Rectangles 1 and 2~ the length is 5 and the width is 7

5 x 7 = 35

However, there’s two rectangles. (of the same size)

35 x 2 = 70

Rectangle 3~ the length is 6 and the width is 7

6 x 7 = 42

There’s only one of these.

Now we add all the areas of the shapes together!

24 + 70 + 42 = 136

The surface area is 136.
3 0
2 years ago
Read 2 more answers
Let point C be on circle A. If ∠BAC 5 radians and segment BC is 12cm, what is the length of the radius
Genrish500 [490]

Answer:

2.4 cm

Step-by-step explanation:

The formula we would use

S = rθ

Where S = Arc length

θ = central angle in radians

r = radius of the circle or length of the radius.

From the question, we can see that if

If C = a point on circle A

The Segment BC = The arc length of the circle = 12cm

∠BAC = central angle in radians = 5 radians.

Since, S = rθ,

Length of the radius = S/θ

= 12cm/5 radians

Length of the radius = 2.4 cm

5 0
3 years ago
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