Answer:
Step-by-step explanation:
<u>∠2 and 121° are supplementary as consecutive interior angles:</u>
- m∠2 + 121° = 180°
- m∠2 = 180° - 121°
- m∠2 = 59°
Answer:
w^40
Step-by-step explanation:
When you're dividing exponents with the same base you subtract them
This means that w^15/w^5 = w^10
So we have (w^10)^4
When raising an exponent to another exponenent we multiply them
obviously 10*4 = 40 which gives us our answer: w^40
if you have any questions lmk
Answer:
V = 63π / 200 m^3
Step-by-step explanation:
Given:
- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:
y = √(42*x - x^2)
- The surface is coated with paint with uniform layer thickness t = 1.5 mm
Find:
The volume of paint needed
Solution:
- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:
- The derivative of the function f'(x) is as follows:
- The square of derivative of f(x) is:
- Now use the surface area formula:
- The Volume of the pain coating is:
V = S*t
V = 210*π*3/2000
V = 63π / 200 m^3
If the number formed by two last digits of a number is divisible by 4, then a number is divisible by 4 as well.
Answer:
scalene
Step-by-step explanation:
It would be scalene because all of the sides have a different length