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Anuta_ua [19.1K]
3 years ago
10

What is the diameter of a hemisphere with a volume of 62617 cm 3 , 62617 cm

Mathematics
2 answers:
marusya05 [52]3 years ago
7 0

Answer:

Step-by-step explanation:

Hemisphere Volume = (2/3) * PI * radius^3

sphere radius^3 = Hemisphere Volume / ((2/3) PI)

sphere radius^3 = 62,617 / 2.0943951024

sphere radius^3 = 29,897.4152147556

sphere radius = 31.0368674154

sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeters)

KiRa [710]3 years ago
4 0

Answer:

62.1

Step-by-step explanation:

→ Set up an equation

\frac{2}{3}  × π × r³ = 62617

→ Divide both sides by π

\frac{2}{3}  × r³ = 19931.61014

→ Divide both sides by  \frac{2}{3}

r³ = 29897.41521

→ Cube root both sides

r = 31.03686742

→ Double the answer to find the diameter

31.03686742 × 2 = 62.1

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You make 70% of the basketball shots you take. If you
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Answer:

Step-by-step explanation:

The probability that you make one shot is 70%, or 0.7.

The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249

The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.

MSSSSSSSSS

SMSSSSSSSS

SSMSSSSSSS

and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is

(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821

Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get

0.0282475249 +  0.121060821 = 0.1493083459

7 0
2 years ago
2(1/3x)(2/5y) <br> i cant solve this one can anyone help me I am stuck over here
Eva8 [605]

Answer:

4/15xy

step-by-step explanation:

2(1/3x) (2/5y)

= 2/3x × (2/5)y

= 2×2

xy

3×5

= 4/15xy

Hope this answer helps you :)

Have a great day

Mark brainliest

4 0
3 years ago
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Find the value of x in the figure below.
masya89 [10]

Answer:

6


Step-by-step explanation:

The figure inside the circle is symmetric.  Therefore, 3x + 5 = 5x - 7.  Solving for x, we subtract 3x from both sides and then add 7 to both sides.  This comes out to 2x = 12, meaning that x must be 6.

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3 years ago
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If 25% of a number is 100, what is the number?
natta225 [31]

Answer:

400

Step-by-step explanation:

25% = 1/4

you can ultimately take this fraction and see that if you add two zeroes at the end of '1', you get 100

  • 100/4

although, because you added two zeroes at the top, you have to do the same to the bottom.

  • 100/400

this shows 400; 25% of 400 is 100.

6 0
3 years ago
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