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
Its equilateral ( all sides are equalA0
Also its acute.
D and F
Answer:
3x+1=3x+1
Step-by-step explanation:
There is no one answer (ordered pair) to this equation and the answer is found by graphing or trying out different values for each variable. Anyway, here are some solutions; (1,0), (4,1), (0,-1/3).
Item A and B are in decimal format, convert Item C to decimal by changing the fraction to a decimal by dividing 11 by 16:
11 / 16 = 0.6875
This makes Item C 3.6875
Now you have the 3 items as decimal format now put them in order from smallest to largest:
3.65, 3.6875, 4.1
Item A, Item C, Item B
