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NeX [460]
3 years ago
13

Determine the center and radius of the following circle equation:

Mathematics
1 answer:
nignag [31]3 years ago
3 0
ANSWER

The radius is 8

EXPLANATION

We were given,






We rewrite the above equation to obtain,




We now add half the square of the coefficient of

to both sides of the equation to get,






We now got two perfect squares on the left hand side of the equation,













By comparing to the general formula of the circle,





We can see that the radius is 8.
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A cylinder has a base area of 154 cm² and a height of 20cm. What is its total surface area, in cm?? Use, 22/7
zmey [24]

Answer:

Hi there!

We've given with the base area and height. We know the formula for base area

Base area = πr²

154 = 22/7 × r²

154 × 7/22 = r²

49 = r²

√49 = r

7 = r

Now

TSA = 2πr(h + r)

TSA = 2 × 22/7 × 7(7 + 20)

TSA = 44(27)

TSA = 1188 cm²

5 0
3 years ago
PLEASE HELP ME THANKS
Yuki888 [10]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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1. A cheetah can run at a top velocity of 31 m/s and has a mass of 47 kg. What is the cheetahs kenetic energy?
Naily [24]

Answer:

1. 22583.5 J

2. 1248 kg

3. 78.09 m/s

Step-by-step explanation:

The formula for kinetic energy is ;

K.E = 1/2* m * v²

Where m is the mass and v is the velocity

1.

K.E = 1/2 * m*v²

K.E = 1/2 * 47 * 31²

K.E = 22583.5 J

2.

Velocity = 9.78 m/s.

Kinetic energy = 60,800 J

To get mass, apply the formula as;

K.E = 1/2 * m*v²

60,800 = 1/2 * m * 9.78²

60800 = 48.70845 m

60800/48.70845 = m

1248 = m

Mass = 1248 kg

3.

K.E = 143.3 J

Mass = 0.047 kg

Apply the formula;

K.E = 1/2 * m*v²

143.3 = 1/2 * 0.047 * v²

143.3 = 0.0235 v²

143.3/0.0235 = v²

6097.87 = v²

v = √6097.87

v= 78.09 m/s

4 0
3 years ago
Find the mean (average) of each set of numbers. Round your answer to the nearest tenth 18 , 16 , 20 , 9 , 7 , 5 , 12 , 17
wel

Answer:

13

Step-by-step explanation:

6 0
3 years ago
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What are the center and radius of the circle defined by the equation ?
tensa zangetsu [6.8K]
It might be B im not sure

8 0
3 years ago
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