MATHEMATICS MIDDLE SCHOOL

A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?

Answers

Answer 1

Answer:

Answer:

The exact value of the volume is equal to

$V=19(397)/(512)\pi\ in^(3)$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=(1)/(3)\pi r^(2) h$

we have

$D=5(5)/(8)\ in$

convert to an improper fraction

$D=5(5)/(8)\ in=(5*8+5)/(8)=(45)/(8)\ in$

$r=(45/8)/2=(45)/(16)\ in$

$h=7(1)/(2)\ in=(7*2+1)/(2)=(15)/(2)\ in$

substitute in the formula of volume

$V=(1)/(3)\pi ((45)/(16)^(2))((15)/(2))=(30,375)/(1,536)\pi\ in^(3)$

Simplify

$(30,375)/(1,536)=(29,184)/(1,536)+(1,191)/(1,536)=19(397)/(512)$

substitute

$V=19(397)/(512)\pi\ in^(3)$

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Pls help ASAP!!!!!!!!!Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?_____per hour(format $xx.xx). A graph titled Cost of Royce's Violin lesson has length of lesson (hours) on the x-axis and cost (dollars) on the y-axis. A line goes through points (2, 52), (3, 67), (4, 82) and (5, 97).

Answers

67-52= 15
82-67= 15
97-82= 15
52-15=37
(1,37) I think it’s 37 per hour but if it’s not I’m sorry!

Answer:

It is not 37

Step-by-step explanation:

I did the test on eg

What is x in the equation above?

Answers

Answer:

Step-by-step explanation:

Answer:

same length as the other side 90 degree angle as well

Please Help me! Thanks :)

Answers

A would be a function because x has no repeating numbers

Answer:

Ig A

Step-by-step explanation:

Write a fraction with a denominator of 4 to represent a distance that is less than 7/12 mile

Answers

So basically it's telling you to find a fraction with a denominator of 4 that is less than 7/12.

There are 2 possible answers, which are 2/4 (6/12) and 1/4 (3/12). Make sure to label 1/4 or 2/4 with mile, or it will probably be wrong.

A manager is comparing the cost of buying baseball caps from two different companies.- Company X charges a $50 fee plus $7 per baseball cap.

- Company Y charges a $30 fee plus $9 per baseball cap.

For what number of baseball caps will the cost be the same at both companies?
A. 20
B. 100
C. 40
D. 10

Answers

Answer:

C is the answer

Step-by-step explanation:

The answer is C because just because

1. Simplify: a^7/a^4A. 1/a^3
B. a^3
C. -a/a^2
D.a^4/a^3

2. Simplify: r^2s^4t/r^2st^3
A. s^3/t^2
B. s^3/t
C. s^2t^3
D. s/t

3. Simplify: 3x^6/18x
A. 1/6
B. x^4/6
C. x^5/6
D. x^6/6

4. Identify the property demonstrated 4^3x4^7 = 4^3+7
A. Quotient of Powers Property
B. Power of a Power Property
C.Power of a Product Property
D.Product of Powers Property

5. Identify the property demonstrated: (a^7)^3 = a^7 x 3
A. Power of a Product Property
B. Quotient of Powers Property
C. Product of Powers Property
D. Power of a Power Property

Thank you so much whoever helps!!!

Answers

1)a^7/a^4
=a^[7-4]
=a³

2) r²s⁴t/r²st³
=s⁴-¹.t¹-³
=s³.t-²
=s³/t²

3)3x^6/18x
=x^5/6

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