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Olegator [25]
3 years ago
5

Someone pls help me.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector

I’ll take you through it step-by-step

Area of the arc:

We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared

68.9/360 x pi x 86.1184= 51.78 (2dp)

Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC

You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)

Now since you want the area of the segment shaded, just find the difference between these two values.

51.78-40.17 = 11.61
Answer= 11.6cm squared

Hope this helped!
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two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle. a. true
MArishka [77]
Answer:  True

One angle of a right triangle  = 90°
Let x =  the acute angle of one angle.
Let y =  the angle of the other angle.

Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x

Therefore the angles for each of the two triangles are
x, 90° - x, 90°.

The two triangles are therefore similar because of AAA (Angle, Angle, Angle).
5 0
3 years ago
Read 2 more answers
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
MrMuchimi

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

7 0
3 years ago
Find the supplementary angle.
AleksAgata [21]

Answer:

x=146 degrees

Step-by-step explanation:

A supplementary angle is the conrisponding angle that adds to the other angle so it is 180. So 180-34= 146

4 0
3 years ago
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How would you convert the repeating, non terminating decimal into a fraction? Explain the process as you solve the problem 0.151
lorasvet [3.4K]
Divide 1515 by 100 and you would get 15.15 the divide the .15 by 3 and and you will get 3.5 so the answer will be 15 3/5
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3 years ago
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Solve for w.<br> -3(-8w+1) -w=5(w-1)-1<br> Simplify your answer as much as possible.<br> W =
oksian1 [2.3K]

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

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2 years ago
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