Answer:
960 ft^2
Step-by-step explanation:
There are 9 surfaces forming the solid.
5 of them are congruent squares and 4 of them are congruent triangles.
area of square = (side)^2
area of triangle = (base)(height)/2
total surface area = 5 * area of square + 4 * area of triangle
A = 5 * (12 ft)^2 + 4 * (12 ft * 10 ft)/2
A = 5 * 144 ft^2 + 4 * 60 ft^2
A = 720 ft^2 + 240 ft^2
A = 960 ft^2
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
Answer:
the answer is 2>am sorry if wrong
Answer:
ye has bad. he nf nv nnfcnxb xx. b DC x b x dnf znfbe xngrh cngbf
