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Sladkaya [172]
3 years ago
11

A large sphere has the radius of 6 centimeters. A small sphere is inside the sphere. After the volume of the small sphere is sub

tracted, the volume left in the large sphere is 252pi cubic inches what is the radius of the small sphere
Mathematics
1 answer:
neonofarm [45]3 years ago
7 0

Answer:

  3 in

Step-by-step explanation:

The volume of the large sphere is ...

  V = (4/3)πr³ = 288π . . . cubic inches

The volume of the smaller sphere is ...

  288π -252π = 36π . . . cubic inches

The ratio of volumes of the smaller sphere to the larger is the cube of the ratio of radii. The radius of the smaller sphere will be ...

  (6 in)∛(36π/(288π)) = (6 in)∛(1/8) = 3 in . . . . small sphere radius

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In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all
Ymorist [56]

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

<u>We can set up an equation that's essentially:</u>

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

6 0
1 year ago
Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top of the pole as 35º. Vera is
ivanzaharov [21]

Answer:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Tan \theta=\frac{|XY|}{|VY|} \\Tan \theta=\frac{42.01}{36}\\ \theta=arctan(\frac{42.01}{36})\\ \theta=49.4^0

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

4 0
3 years ago
1) What is the total cost of order<br> number one if you include 4.5% sales tax<br> and a 20% tip?
svetoff [14.1K]

Answer: $12.54

Step-by-step explanation:

you add $10.00 to 4.5% which gives you $10.45

and then you add 20% on to that and you get $12.54

4 0
2 years ago
A large aquarium should contain 10,000 liters of water when it is filled correctly. Fish will get sick if the aquarium gets down
pashok25 [27]

Answer:

9016 litres left

Step-by-step explanation:

The fish were not sick.

You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left

8 0
3 years ago
Help you yall <br> thank you
Tresset [83]
A,C,D I’m pretty sure
7 0
3 years ago
Read 2 more answers
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