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zhannawk [14.2K]
4 years ago
7

A pizza parlor uses square prisms for their pizza boxes . due to the crust rising , the height of their boxes is always 2 inches

. additionally , the volume of the pizza box must be 450 cubic inches to fit their standard sized pizza . a worker determined the the equation below could be used to find the side length x, of the box needed to reach the that volume.
2x^2=450
Mathematics
1 answer:
Nady [450]4 years ago
6 0

Answer:

The side length required is 15 inch.

Step-by-step explanation:

volume = L*b*h

height = 2 inch

side length = x

The box used is square prisms so, side length = width = x

Now, using the formula for volume:

                    V = L* b* h

                 or, 450 = x* x * 2

                 or, 450 = 2x²

                 or, 225 = x²

                    ∴ x = 15 inch

So the length required is 15 inch.

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Any ideas for this question
goblinko [34]
<h3>Answer:  36pi (choice b)</h3>

===========================================================

Explanation:

Let x = length of side BC

This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD

If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly \sqrt{12-x}

This is the radius of the cylinder

The volume of a cylinder is V = \pi*r^2*h

Plug in the radius and height mentioned to get this function in terms of x

V = \pi*\left(\sqrt{12-x} \ \right)^2*x

That simplifies to

V = \pi(12-x)x

or

V = \pi(12x-x^2)

Ignore the pi portion for now.

We wish to maximize the function f(x) = 12x-x^2

Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)

This means x = 6 leads to the largest f(x) value being 36.

Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.

6 0
2 years ago
Katie has a loan balance of $5,000 with a 15% APR. She will take 3 years to pay it off, making her monthly payments $201.39. How
Jet001 [13]

Answer:

<u>$2250</u>

Step-by-step explanation:

Monthly Payments = 201.39

3 years = 3 * 12 = 36 months

Total she will pay:

201.39 * 36 = $7250.04

Original Loan amount was $5000

She is paying a total of 7250.04

The extra amount (interest) is:

7250 - 5000 = $2250.04

Rounded off, that is <u>$2250</u>

5 0
3 years ago
Select the tape diagram that represents 10 + 5 = 15. *<br><br> A<br> or<br> B
VikaD [51]

Answer:

B

Step-by-step explanation:

The right side is 2x larger than the left side of diagram B. So you can safely assume the right side is 10 and the left is 5.

8 0
3 years ago
Read 2 more answers
What is the factored form of a2 – 121?
777dan777 [17]
I hope this helps you


121=11.11



a^2-11^2


(a-11). (a+11)



a.a+11a-11a-11.11


a^2+0-121


a^2-121
3 0
4 years ago
A group of 31 friends gets together to play a sport. First, people must be
Mariana [72]

<u>ANSWER TO PROBLEM:</u>

10 teams.

3x10=30 and then the one person is left over

Sure hope this helps you and pls mark me brainiest

8 0
2 years ago
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