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AlladinOne [14]
3 years ago
5

What is the volume of the sphere? 25.12 75.36 150.72 904.32

Mathematics
2 answers:
dem82 [27]3 years ago
8 0
25.12 I think I’m not suree
charle [14.2K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Formula

V = 4/3 * pi * r^3

Givens

pi = 3.14

r = 6

Solution

V = (4/3) * 3.14 * 6^3           Expand the cube

V = (4/3) * 3.14 * 216           Multiply by 3.14

V = (4/3) * 678.24               Multiply by 4

V = 2712.96 / 3                   Divide by 3

V = 904.32

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Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
Jordan flipped a coin 492 times. Which of the following would be a good estimate of the number of times the coin landed on heads
Irina-Kira [14]
I'd say B. but that's only because I divided the number of times he flipped the coin by the number of sides it has, 2, and came up with 246. The closest number on here to that is 231 or B. I hope I helped.
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3 years ago
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Answer:

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Step-by-step explanation:

1. Subtract

42,500 - 31,750 - 10,475 =

275

2. Get answer

275 non-spectators

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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