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Paha777 [63]
4 years ago
14

Spaceship Earth, a major tourist attraction, is a sphere whose diameter is approximately 50 m. What is the volume of Spaceship E

arth? Use 3.14 for pi. Enter your answer, as a decimal, in the box. Round only your final answer to the nearest hundredth.
Mathematics
1 answer:
arlik [135]4 years ago
6 0

Answer:

The volume of spaceship Earth =65416.67m^3

Step-by-step explanation:

Diameter of spaceship Earth=d=approximately 50 m

Radius of spaceship Earth=r=\frac{d}{2}=\frac{50}{2}=25 m

\pi=3.14

We have to find the volume of spaceship Earth.

We know that volume of sphere=\frac{4}{3}\pi r^3

Substitute the values in the given formula then we get

Volume of spaceship Earth =\frac{4}{3}\times 3.14\times 25\times 25\times 25

Volume of spaceship Earth =65416.67 m^3

Hence, the volume of spaceship Earth =65416.67m^3

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Answer:

21. C, 24.B

Step-by-step explanation:

Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.

Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:

55^2=40^2+24^2-2(40)(24)\cos(C)

We can subtract 40 squared plus 24 squared from both sides to get

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4 0
4 years ago
The probability that a customer selects a pizza with mushrooms or pepperoni is , and the probability that the customer selects o
Andrej [43]

Answer:

The probability of the customer selecting both items is 0.04.

Step-by-step explanation:

The complete question is:

The probability that a customer selects a pizza with mushrooms or pepperoni is 0.45, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability of the customer selecting both items.

Solution:

The information provided is as follows:

P (M) = 0.32

P (P) = 0.17

P (M ∪ P) = 0.45

Compute the probability of the customer selecting both items as follows:

P(M\cup P)=P(M)+P(P)-P(M\cap P)\\\\P(M\cap P)=P(M)+P(P)-P(M\cup P)\\\\=0.32+0.17-0.45\\\\=0.04

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3 years ago
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Answer:

3/8

Step-by-step explanation:

Step 1: Find common denominators

1/2 = 4/8

2/4 = 4/8

Step 2: Evaluate

4/8 + 4/8 - 5/8

8/8 - 5/8

3/8

Alternatively, you can just plug this into a calc to evaluate and get your answer.

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