Answer: The percentage increase in perimeter is 7%.
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
The original length of the rectangle is 20 and the original width is 30. The original perimeter of the rectangle would be
Perimeter = 2(20 + 30) = 100
The length of the rectangle is increased by 10 percent. It means that the new length would be
20 + (0.1 × 20) = 22
The width of the rectangle is increased by 5 percent. It means that the new width would be
30 + (0.05 × 30) = 31.5
The new perimeter of the rectangle would be
Perimeter = 2(22 + 31.5) = 107
The increase in perimeter is
107 - 100 = 7
The percentage increase in perimeter is
7/100 × 100 = 7%
Answer:
13 2/3 yds
Step-by-step explanation:
We know that there are 3 ft in 1 yd
41 ft * 1 yd / 3ft = 41 / 3 yds
Changing to a mixed fraction
39/3 + 2/3 yds
13 + 2/3 yds
13 2/3 yds
Answer:
c = 
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 
m = 
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)
m =
=
, then
=
( cross- multiply )
2(c - 4) = - 3
2c - 8 = - 3 ( add 8 to both sides )
2c = 5 ( divide both sides by 2 )
c = 
just use the formula y=mx+b
m=slope
b=y intercept
Answer:20
Step-by-step explanation: