Answer:
See below.
Step-by-step explanation:
We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.
Recall that sine is the ratio of the opposite to the hypotenuse:
Plug in the numbers. The opposite is 20 and the hypotenuse is 55.
Solve for theta (use a calculator):
First, note that
1 yard = 3 foot,
1 feet = 12 inches.
Now add all lengths:
15 ft 4 in + 9 ft 2 in + 14 ft 7 in + 10 ft 11 in +5 ft 8 in = 53 ft 32 in.
Since 32 in = 24 in + 8 in = 2 ft 8 in, then
53 ft 32 in = 53 ft + 2 ft 8 in =55 ft 8 in.
Since 55 ft = 54 ft + 1 ft = 18 yd 1 ft, then
55 ft 8 in = 18 yd 1 ft 8 in.
Answer: correct choice C
Answer:
BE and CG.
Reason:
According to the given diagram,
m∠E = m∠G.
This property defines parallel line segments.
Answer:
A
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × 
Hence
radian measure = 150° ×
Cancel both 150 and 180 by 30, then
radian measure = 5 × 
= 
Answer:
5
Step-by-step explanation:
The sum of adjacent sides of the rectangle is half the perimeter, 50, so ...
... AH = 50-40 = 10
Then ...
... OP +QR = 10 = 2×OP . . . . . QR ≅ OP
... OP = 5 = PQ . . . . . . . . . . . . PQ ≅ OP
