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4 years ago

Find the value of x (show work).

Mathematics

2 answers:

morpeh [17]4 years ago

8 0

17. 144+x2=484

X2=Earp

____ [38]4 years ago

8 0

16.

tan(angle) = Opposite leg / adjacent leg

tan(36) = 12 / x

x = 12 / tan(36)

x = 16.5166

Round answer as needed.

17.

sin(angle) = Opposite leg / Hypotenuse

sin(x) = 12/22

x = arcsin(12/22)

x = 33.056 degrees.

Round answer as needed.

You do not say how the answers need to be rounded, so please round them as needed.

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A circle with area 81ㅠ has a sector with a central angle of 120°.

Mrac [35]

Answer:

Step-by-step explanation:

We have the area of a circle

$A_O=81\pi$

The sector with a central angle of

$120^o$

Calculate, what part of 360° is an angle 120°:

$\dfrac{120^o}{360^o}=\dfrac{1}{3}$

The same part of an area of a circle is an area of a segment.

Therefore:

$A_S=\dfrac{1}{3}\cdot81\pi=27\pi$

Use π ≈ 3.14

$A_S\approx(27)(3.14)=84.78$

4 0

4 years ago

Find the area of an equilateral triangle if a side is 8 times the square root of 3

irga5000 [103]

The area would be about 83.14.

You can find this by starting with the formula for the area of an equilateral triangle:

A = $\frac{\sqrt{3}}{4} S^{2}$

In this equation, A is the area and S is the side. So we'll just plug in the value.

A = $\frac{\sqrt{3}}{4} S^{2}$

A = $\frac{\sqrt{3}}{4} (8\sqrt{3})^{2}$

A = $\frac{\sqrt{3}}{4} 24$

A = 83.14

4 0

3 years ago

What is the slope and y-intercept for the ghraph of y+9x=-6

noname [10]

Y intercept:

Y=-6-9(0)
=-6

(0,-6)

I’m assuming the slope is the gradient if that’s the case then it would be -9 since
Y=mx+c
m is the gradient and in this case it’s -9

7 0

3 years ago

Read 2 more answers

A. Identify the relationship between the two

kykrilka [37]

Answer:

a - Mutual

b - (x+21)+(2x+3)=90

c - 3x +24 =90

3x=90-24

3x=66

X=22

7 0

3 years ago

62, 52, 52, 52, 64, 69, 69, 76 for the given sample data, find

AnnZ [28]

The mean is 62 (496/8=62)
The median is 63 (52,52,52,62,64,69,69,76 take the two middle numbers and find the average 62+64/2=63)
The mode is 52 (there are three 52's)

7 0

3 years ago