MATHEMATICS MIDDLE SCHOOL

!HELP! SHOW WORK PLEASE SO I CAN UDNERSTAND!A paper drinking cup in the shape of a cone has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is the closest to the volume of the cup in cubic centimeters?
167 cm³
209 cm³
670 cm³
502 cm³

Answers

Answer 1
Answer: Ok.

The volume of a cone is the volume of a cylinder over 3.

The volume of a cone is:
(1)/(3) \pi r^(2)h

This problem gives us the diameter, which is twice of the radius.  So, we'll just half it.
Radius (me) = 4 cm.

Substitute our given values into the equation.
(1)/(3) \pi (4)^(2)h \ or \ (1)/(3) \pi (4)^(2)(10) \ or \ (1)/(3) \pi (16)(10)

Multiply
(1)/(3) \pi(160) \ or \ (1)/(3) (3.14)(160) \ or \ 1.047(160)

Multiply
167.52 \ cm^(3)

This would make 167 \ cm^(3) the closest option.
Answer 2
Answer: The formula for the volume of a cone is π r²h/3. You are given the height and the diametre of the cone. You need the radius which is half the diametre (4). So, f you were to write this out, it would look like this:

3.14 × 4² × 10/3 

your answer is going to be 167 cm³

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Find the missing length of the figure.

Answers

a^(2) + b^(2) = c^(2)

4) 16^(2) +63^(2) =4225 = c^(2)
c= √(4225)

Missing length= 65cm

5) 13 ^(2)- 5^(2) =144
b= √(144)=12
12 ^(2)+35 ^(2)=1369
c=√(1369)

Missing length = 37cm

Use formula p=2l+2w find the perimeter of a rectangle with a length 8.3 ft and width of 15.8 ft

Answers

Answer:

p = 48.2

Step-by-step explanation:

p = 2L + 2w

p = 2(8.3) + 2(15.8)

p = 16.6 + 31.6

p = 48.2

Answer:

P = 48.2 ft

Step-by-step explanation:

P =2l+2w

Given: l  = 8.3 ft and w = 15.8 ft

Plug in

P =2(8.3) + 2(15.8)

P = 16.6 + 31.6

P = 48.2 ft

Brent's pick-up truck can carry 1/5 ton. Nina's pick-up truck can carry 500 pounds. Whose pick-up truck carry's more weight. ExplainDon't know how to Explain

Answers

Answer:  Nina's pick up truck  carry's more weight.

Step-by-step explanation:

We know that 1 ton = 2,000 pounds

Given: Brent's truck can carry the maximum weight=(1)/(5) ton

In pounds, The maximum load can be carried by Brent's truck =(1)/(5)*2000=400\text{ pounds}

Nina's truck can carry the maximum weight = 500 pounds

Clearly, 500\text{ pounds} > \text{ 400 pounds}

Therefore,  Nina's pick up truck  carry's more weight.

Nina's truck bc a whole ton is 2,000 pounds so 1/5 of 2,000 pounds is 400 pounds and nina has 500 pounds so she has 100 more pounds than brent

The library is designing a book display with fiction books 28 biographies and 40 non fiction books. Each shelf will have only one type of book on it. Sheena says she can put 5 books on each shelf. She listed the common factors of 20,28,and 40 below to support her reasoning

Answers

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You bought a sandwich for 12.40 it includes the tax 5% what is the cost of the sandwich before tax?

Answers

Answer: $11.81✔️cost of the sandwich before tax

Step-by-step explanation:

Let C = cost before tax

Cell phone costs = C + C·5% = $12.40

C(1 + 0.05) = $12.40

C = $12.40/1.05 = $11.81 , cost before tax

Answer: $11.81✔️ cost of the sandwich before tax

Checking

Cell phone after tax = $11.81 + $11.81·5/100

Cell phone after tax = $11.81 + $0.59 = $12.40✔️checked!

Spymore  

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Answers

Answer:

He makes $15,000

Step-by-step explanation:

250,000*0.06 or 6%= 15,000
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