Answer:
Length of material needed = 35.8 feet
Step-by-step explanation:
Door of the wooden garage is in the shape of a rectangle with dimensions 16 ft × 8 ft.
Lincoln is going to place two boards in the shape of an X on the door.
From the picture attached,
Diagonals of the rectangular door will be equal in measure.
Therefore, length of the material = 2×(Diagonal of the rectangle)
By applying Pythagoras theorem in the rectangle,
(Diagonal)² = 16² + 8²
Diagonal = = 17.89
Therefore, length of material = 2 × 17.89
= 35.77
≈ 35.8 feet
So cos θ = 5/sqrt(26)
adjacent = 5
hypotenuse = sqrt 26
by pythagoras opposite = 1
so sin θ = 1/sqrt (26)
and tan θ = 1/5
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation: