Answer:
131,072π/3 or approximately 137,358.3
Step-by-step explanation:
V = 4/3 x π x r^3
V = 4π/3 x (32^3)
V = 131072π/3 ft^3
V = 137,258.3 ft^3
Answer:
Step-by-step explanation:
As a review: this is the Law of Sines:
b a
-------- = ---------
sin B sin A
Using the Law of Sines will enable us to determine Angle A. Once we know Angle A, we can determine Angle C.
From that point on, all of the angles are known, and there is sufficient info available to determine the length of side c using the Law of Sines.
The distance formula is the square root of (x1-x2)^2+ (y1-y2)^2
So it would be square root [ (-2-3)^2 + (6-(-2))^2]
So it would be square root(25+64)
Square root(89)= 9.433
z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π-
Step-by-step explanation:
Given,
-4+5i is a complex number.
To find the polar form.
Formula
z=x+iy
r² = mod of (x²+y²)
θ =
So, the polar form will be z=r(cosθ+i sinθ)
Now,
r² =(-4)²+5² = 41
or, r = √41
θ =π- [ since the point is in second quadrant]
Hence,
z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π-
Answer:
Mr.Samson is 58 years old. Mr.Rogers is 35.
Step-by-step explanation
Samson's age Roger's age
2x - 12 x ( 12 years less than twice Mr.Rogers(x))
Equation: 2x - 12 + x = 93 Sum of ages is 93
3x - 12 = 93 Simplified
x = 35 Solve
Rogers = x, so Rogersis 35
But Sampson is 2x - 12 ( 2 * 35 - 12 ), so Sampson is 58