A.)
The first thing we must do for this case is to find the area of the complete figure.
We have then:
Triangle 1:
A1 = (1/2) * (1.5) * (1)
A1 = 0.75 feet ^ 2
Triangle 2:
A2 = (1/2) * (1.5) * (2)
A2 = 1.5 feet ^ 2
Triangle 3:
A3 = (1/2) * (0.75) * (1)
A3 = 0.375 feet ^ 2
Rectangle:
A4 = (5) * (0.75)
A4 = 3.75 feet ^ 2
Adding the areas we have:
A = A1 + A2 + A3 + A4
A = 0.75 + 1.5 + 0.375 + 3.75
A = 6.375 feet ^ 2
Answer:
there are 6,375 feet ^ 2 of plywood in the scenery
B.)
Triangles:
A = A1 + A2 + A3
A = 0.75 + 1.5 + 0.375
A = 2,625 feet ^ 2
Two layers of paint:
A = 5.25 feet ^ 2 <45 feet ^ 2
Rectangle:
A = 3.75 feet ^ 2
Two layers of paint:
A = 7.5 feet ^ 2 <45 feet ^ 2
Answer:
One quart of each color is needed.
The answer is choice D) Perpendicular from a point not on the line.
Y varies x
Invite the constant
y = kx
Kx/x = y/x
K = y/x
Slot in the values
K = 35/140
= 1/4 or 0.25
What is the value of y when x=70
y=kx
y = 35/140 x 70/1
y = 35/2
y = 17 1/2 or 17.5
We have to use pythagorean theorem. The equation is

so we plug in the numbers (hypothenuse is always C in the equation)

now we solve:

Exponents

Subtract
a=6 Square Root
x=6 Answer
Answer1:
-1
Step-by-step explanation:
distributed, so it must be the number before parenthesis
-(-3c+5) = -1(-3c+5)