Sin(angle) = opposite leg / hypotenuse
Sin(45) = Opposite leg / 28
Opposite Leg = 28 * Sin(45)
Opposite Leg = 14 SQRT(2) = 19.8
Answer:
commutative property of multiplication
Step-by-step explanation:
Angle SRT is undetermined by the question.
A diameter always subtends a right angle (Thales' Theorem, the first in geometry) so we can be assured SRU, STU, RUT and RST are right angles.
Area=pi times radius^2
area=36pi
36pi=pi times radius^2
divide both sides by pi
36=radius^2
square root both sides
6=radius
2radius=diameter
2 times 6=12
radius=6
diamater=12
the answers area A and D
(if you know your radius and diameter, you would know that diameter is 2 times radius and you could eliminate 2 choices imedietly (B and C))
Hi, there.
For this question, we can apply the Pythagorean theorem
.
I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.
Lengths a and b both have the value of 48, which means that the value s in
is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.
Plug in the value for c: 
Plug in the value for s:

Do the innermost exponents first:

The square root symbol and the power of 2 cancel each other out, so we are left with:
s =
, so the hypotenuse is 4608 inches.