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ki77a [65]
3 years ago
14

As a prank, a friend decided to fill your car with balls from a ball pit. assuming the inside of your car is a rectangular prism

with the length of 10 feet, a width of 5 feet, and a height of 3 feet. how many balls, with a radius of 3 inches, can fit inside the car?
a. 13
b. 521
c. 1206
d. 2294
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

We need volume of rectangular prism and volume of sphere.

Volume of Rectangular Prism = length * width * height = 10 * 5 * 3 = 150 sq. ft.

3 inches is 3/12 = 0.25 ft

Volume of Sphere = \frac{4}{3} \pi r^3= \frac{4}{3} \pi (0.25)^3=0.065 sq. ft.

<em>How many of these can u fit in 150 sq. ft??</em>

<em />

<em>150/0.065 = 2307.69</em>

<em />

That's not one of the choices, but we can defnitely fit 2294 of the balls. So D is the correct answer.

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What is theoretical vs experimental probability? Please help!
mrs_skeptik [129]

Answer:

See down below.

Step-by-step explanation:

Theoretical probability is what we expect to happen. For example, we do a test of flipping a coin. You know that its either gonna be heads or tails.

Experimental probability is what actually happens when we try it out. It occurs when we are doing an experiment and then something happens.

Hope this helps!

4 0
3 years ago
Marks's dad drove 123 miles in 2 hours. At that rate, how many miles would he drive in 5 hours?
mihalych1998 [28]

Answer:

307.5

Step-by-step explanation:

He drove 123 miles in 2 hours. If you go 100 miles in 2 hours that means you went 50 miles in one hour right? Using the same logic we can convert 123 miles in 2 hours to 61.5 miles per hour and then multiply it by 5.

4 0
3 years ago
Two cars leave a rest stop at the same time and proceed to travel down the highway in the same direction one travels at an avera
Alika [10]

The two cars will be 5.5 miles apart after 5.5 hours.

Step-by-step explanation:

Given,

Speed of first car = 57 mph

Time = 5.5 hours

Distance covered by first car = Speed * Time

Distance covered by first car = 57*5.5 = 313.5 miles

Speed of other car = 58 mph

Distance covered by other car = 58*5.5 = 319 miles

Difference = 319 - 313.5

Difference = 5.5 miles

The two cars will be 5.5 miles apart after 5.5 hours.

Keywords: speed, distance

Learn more about distance at:

  • brainly.com/question/10771256
  • brainly.com/question/10772249

#LearnwithBrainly

6 0
3 years ago
Mr. and Mrs. Dorsey and their three children are flying to Springfield. The cost of each ticket is $179. Estimate how much the t
LiRa [457]
To work out the estimate cost you need do 200 * 5=$1000
then I used a calculator and the actual answer is $895
3 0
4 years ago
Read 2 more answers
suppose A and B are complementary angles, m a =(3x+5) and m b= (2x-15). Solve for x and then find m a and m b
vlada-n [284]
2 angles are complementary if the sum of their measures is 90°.

For example  if m(P) = 41°  and m(Q)=49°, then P and Q are complementary.


Thus A and B are complementary means that m(A)=m(B)=90°:

(3x+5°) + (2x-15°) =90°

5x-10°=90°

5x=100°

x=20°



Thus 

m(A)=3x+5°=3* 20°+5°=60°+5°=65°

m(B)=2x-15°=2*20°-15°=40°-15°=25°
8 0
4 years ago
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