Step-by-step explanation:
Angle 128 ° + Angle Y = 180 °
Y = 180 - 128
= 52 °
5x + 3 + Y = 180
5x + 3 + 52 = 180
5x + 55 = 180
5x = 180 - 55
5x = 125 °
x = 125 ÷ 5
x = 25
Answer: Area = 4w² + 30w + 36
Step-by-step explanation:
Let w represent the width of the rectangular patio.
The rectangle patio has a length four times its width. It means that the length of the patio is 4w.
The formula for determining the area of a rectangle is expressed as
Area = length × width
If the boarder is 3 ft, the combined length of the patio and the boarder would be (4w + 3 + 3) = (4w + 6) feet
Also, the combined width of the patio and the boarder would be
(w + 3 + 3) = (w + 6) feet
Therefore, the expression for the area of the patio and boarder is
Area = (4w + 6)(w + 6)
Area = 4w² + 24w + 6w + 36
Area = 4w² + 30w + 36
Answer:
Step-by-step explanation:
I know the answer is 26 miles but I cannot figure out how they came up with that answer using the distance formula.It looks like you need to find the shortest distance (as the crow flies) between the home and the office.
Use the Pythagorean Theorem.
6^2 + 10^2 = c^2
136 = c^2
11.67 = c
4^2 + 14^2 = c^2
212 = c^2
14.56 = c
11.67 + 14.56 = 26.2 = 26 miles
A Coca-Cola bottle is roughly a cylinder, so you would do the formula below.
Answer:
x = 14.
Step-by-step explanation:
Knowing (8x+6) is equal to 118.
You need to solve for x.
Subtract 6 from 118 = 112.
112 / 8 = 14.
Therefore x = 14.
