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
Answer:
Height = 3.82
Step-by-step explanation:
(3.14)(5)²
(3.14)(25)
= 78.5
300 = 78.5h
300/78.5 = 78.5h/78.5
h = 3.821656051 or approximately 3.82
Answer:
2,535,008
two million , five hundred thirty five thousand, eight
Answer:
-11 and -1
Step-by-step explanation:
These are the two numbers that multiply to 11 and add to -12.
