Answer:
The answer is 117.3 
.
Step-by-step explanation:
To solve for the volume of the cone, use the cone volume formula, which is V = 
.
Next, plug in the information given from the problem, and the formula will look like V = 
.
Then, solve the equation, and the answer will be 117.3 .
Step-by-step explanation:
3x-2x=5+10 [taking variables on one side and constant on other]
x=15
soln:
3x-5= 2x+10
3x -5+5=2x+10+5 [ adding 5 on both side]
3x=2x+15
3x-2x=2x+15-2x [subtracting 2x on both side]
x=15
Ans=15
Answer:
Option 4.
Step-by-step explanation:
The vertex form of a parabola is
... (1)
where, a is a constant (h,k) is vertex.
The given function is
The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in equation.
g(x) is passes through (3, 6).
.... (2)
Divide both sides by 4.
Substitute a=1 in equation (2).
The function g(x) is .
Therefor, the correct option is 4.
Answer:
k = 140°
Step-by-step explanation:
The sum of the interior angles of any triangle = 180°.
64° + 76° + x = 180°
x = 40°
40° + k = 180° because they are supplementary angles
k = 140°
Answer:
(48 m^12)/n^8
Step-by-step explanation:
Simplify the following:
3 ((2 m^3)/(n^2))^4
Multiply each exponent in (2 m^3)/(n^2) by 4:
3×2^4 m^(4×3) n^(-2×4)
4 (-2) = -8:
3×2^4 m^(4×3) n^(-8)
4×3 = 12:
(3×2^4 m^12)/(n^8)
2^4 = (2^2)^2:
(3 (2^2)^2 m^12)/(n^8)
2^2 = 4:
(3×4^2 m^12)/(n^8)
4^2 = 16:
(3×16 m^12)/(n^8)
3×16 = 48:
Answer: (48 m^12)/n^8
