Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
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The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
<h2>
Hello!</h2>
The answers are:
a) 
b) 
<h2>Why?</h2>
First, we need to know that for this case:
So,
We must add to the expression in order to form a perfect square trinomial,
Writing the trinomial as a binomial square:
Have a nice day!
Answer:
225π
Step-by-step explanation:
substitute V=πr^2h
V=π(5)^2(9)
Simplify.
225π
