Answer:
1,787.75 square inches
Step-by-step explanation:
unfold the figure and get the surface area of each shape by multiplying base times height and add them all together.
2 1/2 and -2 1/2 beacause negative absolute value is the same number without negative sign
Answer:
cos^(-1)(12/13) = 22.62°
Step-by-step explanation:
Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.
Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.
Answer:
x = 2
Step-by-step explanation:
Given
5x - 4 = - 3x + 12 ( add 3x to both sides )
8x - 4 = 12 ( add 4 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Answer:
x = <u>20</u> units
Step-by-step explanation:
∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.
Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).
2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.
∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.
Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,
20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →
x = 20.
