A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long? Solve this problem by setting up a proportion. Show your work.

Answers

Answer 1

Answer: As you can see 7-3=4 and you just subtract 3 from 14

It is a Proportion

So 14-3=11

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Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke?

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft. What is the volume of the statue? Use 3.14 to approximate pi, and express your final answer to the nearest tenth.

Answers

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

Plug in what we know:

$\sf~V=(1)/(3)(3.14)(6)^2(9)$

Simplify exponent:

$\sf~V=(1)/(3)(3.14)(36)(9)$

Multiply:

$\sf~V=\boxed{\sf339.12}$

Answer:

339.1 ft³

Step-by-step explanation:

The formula for the volume of a cone is

V = 1/3πr²h

Since the diameter of the statue is 12, this makes the radius 12/2 = 6.

Using 6 for r, 3.14 for pi, and 9 for h, we have

V = 1/3(3.14)(6²)(9) = 339.12 ≈ 339.1 ft³

A company sells each product they make for $84.00. They pay $2,100.00 in monthly costs such as rent and bills as well as $70.00 in manufacturing costs per unit. Which of the equations below gives the company's profit per month, P, as a function of the number of units made, x?

Answers

The equation that gives the company's profit per month, P, as a function of the number of units made, x is P = 14x - 2100

Solution:

Selling price of 1 product = $ 84

Monthly cost for rent and bill = $ 2100

Manufacturing cost per unit = $ 70

To find: company's profit per month, P, as a function of the number of units made

Let "x" be the number of units made

Let "P" be the company profit per month

Selling price for "x" number of units = 84x

Manufacturing cost for "x" units = 70x

We know that,

Profit = Selling price - manufacturing cost

P = 84x - 70x

P = 14x

We have to subtract the monthly cost for rent and bill to get the actual profit

P = 14x - 2100

Thus the equation that gives the company's profit per month, P, as a function of the number of units made, x is P = 14x - 2100

Explain how the areas of a triangle and a parallelogram with the same height and base are related.

Answers

The triangle's area would be half of the parallelograms's area, since the formulas state that half of bh should be taken for the triangle's area.

Simplify this expression 5x/17x

Answers

Answer:

5/17

Step-by-step explanation:

The xs cancel eachother out :)

How do you do to the 2nd power

Answers

Something to the second power is simply that number multiplied by itself once. The third power is something multiplied by itself 2 times, and so on

The area of the base of a prism is 24 mm2. The perimeter of the base is 22 mm. The height of the prism is 5 mm.What is the surface area of the prism?

Answers

A = 2b + ph Where 'b' is the area of the base, 'p' is the perimeter of the base, and 'h' is the height. Plug them inA = 2(24) + (22)(5) SimplifyAnswer=158

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