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Tomtit [17]
3 years ago
14

Select all expressions equivalent to 60

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0
The answer could be
D
but i’m not a 100% sure
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Work out the volume of the solid shape<br><br> Give your answers in terms of pi please
kirill [66]

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

3 0
2 years ago
David ate 80 blueberries in one hour. How many did he eat in fifteen minutes?
Firlakuza [10]

All we have to do is divide how many blueberries he ate in an hour (80) by how many times 15 minutes is in 1 hour (4)

80 ÷ 4 = 20

We can check our work by multiplying 20 by 4

20 x 4 = 80

Therefore, David ate 20 blueberries in 15 minutes


Hope this helps you!

Always remember you are a Work Of Art!

- Nicole :) <3

8 0
3 years ago
Read 2 more answers
Solve: 2x + 18 - 1 = 33
Alecsey [184]

Answer: x=8

<u>Simplify both sides of the equation</u>

<u />2x+18+-1=33<u />

<u />(2x)+(18+-1)=33(Combine Like Terms)

2x+17=33

<u>Subtract 17 from both sides</u>

<u></u>2x+17-17=33-17\\2x=16<u></u>

<u></u>

<u>Divide both sides by 2</u>

<u></u>2x/2=16/2\\x=8<u></u>

7 0
2 years ago
Read 2 more answers
if 3000$ is invested at a rate of 12% compounded continuously, find the balance in the account after 5 years. Use the formula A=
Softa [21]

Answer:

$5466.36

Step-by-step explanation:

This question is pretty cut and dry

just plug in the numbers

3000e^{5*.12}\\3000e^{.6}\\5466.356401\\5466.36

8 0
2 years ago
Doug is going to ride his bicycle 3{,}0003,0003, comma, 000 miles across the United States, from coast to coast. He wants to cho
Anuta_ua [19.1K]

The chances of success in cycling across the United States is higher on the central route because more than half of the people who started on this route finished it (52%), while on the other routes the chances of successful completion is lower (route north (0%) south (0.02%).

<h3>What is probability? </h3>

Probability is a way of measuring the certainty that an event will occur represented by a numerical value from 0 to 1, where an impossible event corresponds to zero and a certain event corresponds to one.

According to the above, to find the probability of success in crossing the United States from coast to coast, we must divide the number of successful attempts by the total number of attempts as shown below:

North Route

  • 0 ÷ 2 = 0

Center Route

  • 10 ÷ 19 = 0.52

South Route

  • 1 ÷ 39 = 0.025

According to the above, the highest probability of success is found in the central route with 0.52, that is to say that more than half of those who tried this route finished.

Note: This question is incomplete because there is missing information. Here is the complete information:

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research on him:

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana.

There have been 19 attempts on the central route from Vir-ginia to California; 9 of those riders didn't do it and the other 10 made it all the way to the Pacific.

There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1,300 and 1,700 miles.

 

Learn more about probabilities in: brainly.com/question/8069952

5 0
2 years ago
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