Answer:
C
Step-by-step explanation:
The central angle is 20% of 360°, that is
central angle = × 360° = 0.2 × 360° = 72° → C
Tan(angle) = Opposite Leg / adjacent leg
tan(37) = x / 10
x = 10 *tan(37)
x = 7.5
Answer:
A
Step-by-step explanation:
X is a right angle, so it is equal to 90 degrees. because angle C is 54 degrees, 90 degrees and 54 degrees are added. Then, you subtract the total of those two numbers (144) from 180, and get 36 degrees. In conclusion, x=90 and y=36
Distance = 30 mph * time
distance = 4 mph * time
distance = 30 mph * t
distance = 4 mph * (17-t)
Since distance is equal then
30 mph * t = 4 mph * (17-t)
30t = -4t + 68
34t = 68
t = 2 hours
We see the return trip time is (17 -t ) which is 15 hours.
The beginning trip time is 2 hours.
Double Check
Beginning trip = 30 miles * 2 = 60 miles
Return trip = 4 miles * 15 = 60 miles.
By definition, the formula for finding the area of a trapezoid is
A = [(b1 + b2) x h] / 2
Where,
b1: Base 1
b2: Base 2
h: height, or distance between bases.
Substituting we have:
A = ((5 + 4) * (2.5)) / 2
A = 11.25 feet ^ 2
Answer:
the area of the seat is:
A = 11.25 feet ^ 2