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Masja [62]
2 years ago
9

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics
1 answer:
Naya [18.7K]2 years ago
4 0
<span>Volume of Cone: 1/3 Bh where B is the area of the base 1/3 Bh = 5 Bh = 15 B = 15/h The cylinder has the same base area as the cone. Volume of Cylinder: V = B*h B = V/h and B = 15/h The height of the cone and the cylinder are the same. V/h = 15/h Volume of Cylinder = 15.</span>
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Venus and Serena measured a tennis court and found that it was 42ft longer than it was wide and had a perimeter of 228ft. What w
mr_godi [17]

Answer:

length = 78 feet

width = 36 feet

Step-by-step explanation:

Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:

width = 'w'

length = '42ft longer than it was wide' = w + 42

The general formula for the perimeter of a rectangle:

P = 2w + 2l

Plugging in the given values and variables:

228 = 2w + 2(w + 42)

Distribute: 228 = 2w + 2w + 84

Combine like terms:  144 = 4w

Divide and solve:  36 = w

w = 36 ft

l = 36 + 42 = 78 ft

8 0
3 years ago
There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
natima [27]

Answer: 54

Step-by-step explanation:

6 0
2 years ago
There are 29235 marbles and 371 jacks. If you want to know the percentage of jacks, do you divide the first number by the second
garik1379 [7]

Answer:

Correct answer: Two decimal places to the right

Step-by-step explanation:

We will set the classic proportion:

29,235   -    100%

     371    -        x%

29,235 : 371 = 100 : x  ⇒ 29,235 · x = 371 · 100

x = (371/ 29,235) · 100 = 0.0127 · 100 = 1.27%

x = 1.27%

You divide first number by the second and then multiply with 100,

which is the same as moving the decimal point two places to the right.

God is with you!!!

3 0
3 years ago
Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.
horrorfan [7]

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

3 0
3 years ago
If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a
Strike441 [17]

Answer:

selling price$840

it's a loss.

Step-by-step explanation:

cost price = 28× 30 = $840

selling prince =25×28=$700

since cost price is bigger than selling price, it's a loss.

5 0
2 years ago
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