A= (h(a+b))/2
multiply each side by 2
2A = (h(a+b))
divide each side by h
2A/h = a+b
subtract a from each side
2A/h -a = b
Answer:
21.4
Step-by-step explanation:
We can solve for x using trigonometry
Here are the <u>Trigonometric Ratios</u>
Remember SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given the measure of ∠T ( 72° )
We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )
And we need to find the hypotenuse ( longest side length )
We this information we can use the trigonometric ratio Cosine to solve for x
That being said we want to set up an equation
(remember cosine = adjacent over hypotenuse )

Now we solve for x
We can't get rid of the 6.6 itself so we want to multiply each side by x
now we have 
Step 2 divide each side by cos(72)

We're left with x = 21.35804865
Finally we want to round to the nearest tenth of a foot and we get that x = 21.4
A market's condition best determines whether a borrower’s investment on an adjustable rate loan goes up or down. The condition of the market is inversely proportional to the loan rate.
If market conditions are good then the rate goes down and if market is going down, the rate increases.
Answer: If you need to find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem if you know the length of the other two sides. Square the length of the 2 sides, called a and b, then add them together. Take the square root of the result to get the hypotenuse
Answer:
r = 22.9 in.
Step-by-step explanation:
Central angle in radians, ∅ = π/4
Length of arc, S = 18 in.
radius (r) = ?
Length of arc, C = r∅
Plug in the values and find r
18 = r*π/4
18 = (πr)/4
Multiply both sides by 4
4*18 = πr
72 = πr
Divide both sides by π
72/π = r
r = 22.9183118
r = 22.9 in. (Nearest tenth)