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JulijaS [17]
3 years ago
11

Select "equivalent" or "not equivalent" for each pair of expressions.

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer:

Step-by-step explanation:

1. Not

2. Yes

3. not

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A sector with a radius of 6 cm has a central angle measure of 4pi/9 (in radians). What is the area of the sector?
Usimov [2.4K]

Answer:

The area of the sector is 25.1327 cm²

Step-by-step explanation:

The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:

area = (angle*r²)/2

area = [(4*pi/9)*(6)²]/2

area = [(4*pi/9)*36]/2

area = (144*pi/9)/2

area =  144*pi/18

area = 8*pi

area = 25.1327 cm²

The area of the sector is 25.1327 cm²

8 0
3 years ago
...............................................
slavikrds [6]
What exactly are you asking?
5 0
3 years ago
You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet ta
Naddika [18.5K]

Answer:

a) 125.865 ft

b) 321.676 ft

c) 195.811 ft

Step-by-step explanation:

Given:-

- The height of the building, H = 150 ft

- The angle of elevation ( friend - top of building ), θ1 = 50°

- The angle of elevation ( zombie - top of building ), θ2 = 25°

Find:-

a) How far away is your friend from the building

b) How far away is the zombie from the building

c) How far away is the zombie from your friend

Solution:-

- We will consider the two right angle triangles with similar height ( H ) which denotes the height of the building.

- The distance your friend is from the building is ( x1 ) and looks up to the top of the building with angle of elevation of ( θ1 ).

- We can apply the trigonometric ratio for the right angle triangle formed between your friend, foot of the building and you ( on top of the building ):

                    tan ( θ1 ) = H / x1

                    x1 = H / tan ( θ1 )

                    x1 = 150 / tan ( 50° )

                    x1 = 125.865 ft    ... Answer ( a )

- The distance zombie is from the building is ( x2 ) and looks up to the top of the building with angle of elevation of ( θ2 ).

- Similarly, apply the appropriate trigonometric ratio for the right angle triangle formed between zombie, foot of the building and you ( on top of the building ):

                    tan ( θ2 ) = H / x2

                    x2 = H / tan ( θ2 )

                    x2 = 150 / tan ( 25° )

                    x2 = 321.676 ft    ... Answer ( b )    

- The distance between your friend and the zombie ( s ) can now be determined from subtracting the distance of your friend from the building from distance of the zombie from the building:

                    s = x2 - x1

                    s = 321.676 - 125.865

                    s =  195.811 ft    ... Answer ( c )              

8 0
3 years ago
Triangle XYZ and EFG are given. ΔXYZ≅ΔEFG by SAS. If m∠EFG = 5p-2, YZ=2n-5 and GF=n+5 then which of the following statements are
VMariaS [17]

Answer:

  A.  ZY=15

Step-by-step explanation:

Insufficient information is given about angles to make any statement about the value of p or the measures of any angles. (Eliminates B,C,D,E)

Side YZ corresponds to side FG. Since they are congruent, their measures are the same. This means ...

  2n -5 = n +5

  n = 10 . . . . . . . . add 5-n

YZ = ZY = 2·10 -5 = 15 . . . . . . matches choice A

4 0
3 years ago
The heights of the girls in an advanced swimming course are 55, 60, 59, 52, 65, 66, 62, and 65 inches. Match the measures of thi
kolbaska11 [484]
Arranging in ascending order we have

52 55 59 60 62 65 65 66

The median = (60+62)/2 = 61

The mean =  484 / 8 = 60.5

range =  66-52 = 14

interquartile range =  65 - 57 = 8

pairs = 65
3 0
3 years ago
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