Answer:
DEC+DEF=180
DEC=180-116
DEC=64°
in triangle DCE
angle D+angle C+angle E=180
7y+6+4y+64=180
11y+70=180
11y=180-70
11y=110
y=110/11
y=10°
angle C=4y
=4(10)
=40°
Answer: The volume is 942 cubic feet , 942 ft^3
Step-by-step explanation:
The formula for the volume of a cylinder is v = pi* r^2 * h
Where v is the volume, r is the radius and h is the height.
Input the values for pi, radius, and the height into the formula to solve for the volume.
v = 3.14* (5^2) * 12
V = 3.14* 25 * 12
V = 942
Answer:
All you do is just multiply them.
Step-by-step explanation:
5a^2 b^4(3ab^3)^2=
45(a^(4))(b^(10))
3/4 = 0.75 in decimal inch
Karla wants to leave 0.75 inch in her signature.
4 -0.75 = 3.25 inch needed
0.25 = 1/4
3 and 1/4 inches is needed.
Answer:
7.5 MW
Step-by-step explanation:
The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:
Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)
P = ρQgh
But Qh = Velocity(v) * volume(V).
Hence power = ρvgV
Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:
P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W
P = 7.5 MW