Answer:
<u>125.6 in²</u>
Step-by-step explanation:
Area shaded :
- 2 × Sector (72°)
- 2 x πr² x θ/360
- 2 x 3.14 x 100 x 72/360
- 6.28 x 100 x 1/5
- 20 x 6.28
- <u>125.6 in²</u>
Answer: 15º and 50º
Explanation:
The angles in a triangle add up to 180.
180 - 115 = 65
3x + 10x = 13x
13x = 65
x = 5
3x = 15
10x = 50
Answer:
240/sqrt(pi)
Step-by-step explanation:
We know that the area of a circle is $pi*r^2$, and we also know that the diameter of a circle is equal to $2r$.
Let's first make an equation for this problem.
pi*r^2=14400
Dividing both sides by pi, we get
r^2=14400/pi
Now, taking the square root of both sides gives us
r=120/sqrt(pi)
We are trying to find the diameter, which is twice the size of the radius.
Thus, we multiply the equation by two.
2r=240/sqrt(pi)
Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
2 3/5 or 2 6/10 is the answer
