Answer:
24.0 square feet
Step-by-step explanation:
The area of the sector is given by ...
A = (1/2)r²θ . . . . . where θ is the angle in radians
The area of the circle is the same, with θ=2π, so is ...
A = πr²
__
In this problem, the area of the sector is ...
A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²
The area of the circle is ...
A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²
Then the total area of the exclamation point is ...
16.9646 +7.0686 ≈ 24.0 . . . ft²
The area is about 24.0 square feet.
<span>2.72155422 Kilograms</span>
9514 1404 393
Answer:
b ≈ 2.7
Step-by-step explanation:
The missing angle A is ...
A = 180° -53° -80° = 47°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(80°)×2/sin(47°) ≈ 2.6931
Side b is about 2.7 units.
Answer: 
Step-by-step explanation:
The triangle CDE is shown in the image attached.
The formula for calculate the distance between two points is:
Then, we can calculate the lenght of each side of the triangle:
Therefore, the perimeter is:
(g o f)(x)=g(f(x))
so
(g o f)(0)=g(f(0))
find f(0) and subsitute for x in g(x)
I'm assuming you mean f(x)=-5x+1
f(0)=-5(0)+1=1
g(f(0))=g(1)=1^3=1
(g o f)(0)=1
