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fredd [130]
3 years ago
5

A person is using a new tennis ball launching machine that is 15 inches by 15 inches by 14. Assuming the machine uses tennis bal

ls that are spherical and 2.7 inches in diameter, how many tennis should fit in one of the top of the machine.
Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

305 tennis balls should fit

Step-by-step explanation:

The volume of the machine is length * width * height

So Volume of Machine = 15 * 15 * 14 = 3150

Volume of Sphere is  V=\frac{4}{3}\pi r^3

Where

V is volume and r is radius (half of diameter)

Since 2.7 is diameter, 2.7/2 = 1.35 inches is radius

Volume of 1 tennis ball = V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (1.35)^3\\V=10.3 (rounded to 1 decimal)

We simply divide the volume of the machine by volume of 1 tennis ball to get number of tennis balls:

3150/10.3 = 305.82

the fractional amount (.82) won't be possible so the max number of balls possible is 305 balls

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We have to see the given figure and find the line on which the two planes A and QRV meets.

Lines SR,TS, WT and WQ are not on plane QRV.

The only line which passes through both planes is  QR.

And that's the line of intersection of the two planes.

6 0
3 years ago
Find the domain.<br> p(x) = x^2+ 2
MrRissso [65]

Answer:

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Interval Notation:

( − ∞ , ∞ )

Set-Builder Notation:

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Step-by-step explanation:

hope that helps bigger terms

4 0
3 years ago
11. The preferred overall competition area in judo, including the mats, is a square with an area of 256 m2.
choli [55]
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3 0
3 years ago
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0
3 years ago
Angle Q measures 30 degrees. If angle Q is rotates 15 degrees, what is the measurement of angle Q?
wariber [46]
Angle Q will have the same measurement as it did before, 30°.
Just because the angle is rotated shouldn't change its angle measure.
3 0
3 years ago
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