Answer:
the left column is the statement and Right column is the reason. The statement is the steps of how are you going to solve the problem
Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
Hence;
<em>Length of each shelf is 0.45 meters</em>
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
Answer: length = 13
Width = 22
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length × width)
The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that
2[(3x - 8) + (x + 3)] = 70
Dividing both sides of the equation by 2, it becomes
3x - 8 + x + 3 = 35
3x + x - 8 + 3 = 35
4x - 5 = 35
4x = 35 + 5 = 40
x = 40/4
x = 10
Length = x + 3 = 10 + 3
Length = 13
Width = 3x - 8 = 3 × 10 - 8
Width = 22
Answer:
12.2
Step-by-step explanation:
A^2 + B^2 = C^2
(7)^2 + (10)^2 = (C)^2
49 + 100 = C^2
149 = C^2
sqr(149) = C
12.2 = C
