To the nearest percentage point, what percentage of students who play a sport don’t play a musical instrument?
First, using the information given, fill out the chart with the rest of the data (in the image attached)
Then find the number of students who play a sport and don’t play a musical instrument, which in the chart is 11
Place 11 over the total:
and convert to a percentage:
44%
The answers that would fill in the blanks are
- 2r
- a circle
- an annulus
- 1/3πr³
- 4/3πr³
<h3>What is the Cavalier's principle?</h3>
This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.
Now we have to fill in the blanks with the solution.
For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle
Read more on Cavalieri's principle here
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Answer: 96 inches of wood
Step-by-step explanation:
24 × 4 = 96
So he would need 96 inches of wood!
Hope this helps!!! Good luck!!! ;)
Answer:
1395in^3
Step-by-step explanation:
First find the volume of the cuboid, 15in x 9in x 7in = 945in^3
Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.
V=(15in)(9in)(10in)/3 = 450in^3
450in^3 + 945in^3 = 1395in^3
Answer:
Rule of thumb is;
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
Step-by-step explanation:
When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.