A cone has a radius of 8 inches and a height of 12 inches.What is the exact volume of the cone?

Answers

Answer 1

Answer: $The\ volume\ of\ the\ cone:V=(1)/(3)\pi r^2H\n\nwhere\nr-radius\nH-height\n----------------\n\nr=8\ in\ and\ H=12\ in\n\ntherefore\n\nV=\frac{1}3{\pi\cdot8^2\cdot12=(1)/(\not3_1)\cdot(\not12^4)/(1)\cdot64\pi=4\cdot64\pi=\boxed{256\pi\ (in^3)}$

Answer 2

Answer:

Volume = $256\pi in ^(3)$

Work is attached in the image provided.

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How would I set up an equation for this problem?"The cost per month of making n number of wooden toys is C = 3n + 30. The income from selling n toys is I = 6 n. How many toys must the company make to get a profit?"

Answers

it would be 67 for the income

How do you solve number 7 please help

Answers

Answer: I am pretty sure your answer is 208 cm. Whenever you see a percentage immediately change it to a decimal like in this case 0.070 and multiply it by 400. 400x0.070 is equal to 280. Hope this helps :)

You studied for 14 hours last week. What was your unit rate of hours of study per day?

Answers

The unit rate of hours is 2 per day.

There are 7 days in a week. You studied for 14 hours total. 14/7 is 2. So, 2hr/day.

Find the number to complete the proportion
5 to 3 = blank to 6

Answers

We multiply 6 by a scale factor of $(5)/(3)$

So the answer is 10,

This can also be seen because:

$(5)/(3)$ = $(10)/(6)$

so 5:3 is like 5/3

x:6 or x/6

we know if we multiply 2 equal fractions by each other, but one is flipped, we will get one exg
1/4=2/8
1/4 times 8/2=8/8=1

so since 5/3=x/6
5/3 times 6/x=1
5/3 times 6/x=30/3x=1
30/3x=1
multiply both sdies by 3x to cancel out the fraction
30=3x
divide both sdies by 3
10=x

the answer is 10:6

What is FOIL and PEMDAS?

Answers

FOIL and PEMDAS are both ways to solve mathematical equations.

FOIL
First
Outside
Inside
Last

PEMDAS
Parenthesis
Exponents
Multiplication &
Division
Addition &
Subtraction

FOIL is usually used to solve equations in two sets of parenthesis, for example:
(23+x)(5-4x)

PEMDAS is used to solve multiple-operation equations, such as:
5 x 4 + 6 - 2 x 7

Whew, hope this helped :D

Foil - prevent from succeeding
Pemdas - It is a method used my mathematics students to remember operations

Samantha worked 40.5 hrs this week. she makes 9.50 per hour. how much money did she earn this week?

Answers

To find out how much money Samantha earned this week, we just need to multiply the rate of money she earns per hour by the amount of hours she worked.

9.50 * 40.5 = 384.75

Samantha earned $384.75 this week.
Hope that helped! =)

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A patient receives 65 grams of a medicine. If the dose is increased by 20%, How Many more grams will the patient receive ?