A piece of paper is to display 150, space square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used? Choose 1

Step-by-step explanation:

Given

Required

Determine the smallest dimension to use

To answer this question, I'll make use of the attached figure as a point of reference.

The area of the printed matter is:

Substitute 150 for A1

Make H the subject

The area of the full paper is:

Substitute 150/W for H

Open brackets

Collect Like Terms

Differentiate with respect to w and set the result to 0

Set to 0

Collect Like Terms

Cross Multiply

Make the subject

Take positive square root of both sides

Recall that:

Hence, the smallest dimension of the paper is:

true

explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!