Answer:
Base 5
Step-by-step explanation:
We want to determine the base at which:
113 X 2 =231
We consider the last number of the result (231).
The base must be a number such that:
3 X 2 will have a remainder of 1.
3 X 2 = 6 = 5 Remainder 1
Therefore:
113 X 2 =231 in positive integral number base 5.
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
C. 24 1/4
Step-by-step explanation:
You turn both the lowest and the highest values into improper fractions and subtract the numerators then turn it back into a mixed fraction.
The equation for the line of reflection is x = 2.
If you drew a vertical line crossing the x-axis on x = 2, the drawing will be the same on the left and right side, as if one side was drawn then exactly copied on the other side but flipped.
The figure is symmetrical, and x = 2 is the line of symmetry.
Hope this helps!
Answer:
Transitive property
Step-by-step explanation:
When a=c and b=c, a=b
A would be 16+43
B would be 59
C would be 10+49