Answer:
There is only B. one solution
Step-by-step explanation:
The solving steps are on photo math if you need help with that.
Answer:
f(g(x)) = 3x -5
h(g(x)) = x^2 -8x +17
Step-by-step explanation:
— f(g(x))
f(g(x)) = f(x -4) = 3(x -4) +7 = 3x -12 +7
f(g(x)) = 3x -5
_____
— h(g(x))
h(g(x)) = h(x -4) = (x -4)^2 +1 = x^2 -8x +16 +1
h(g(x)) = x^2 -8x +17
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
Answer:
The measure of the indicated angle to the nearest degree is 68°
Step-by-step explanation:
hope it helps
Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees