Answer:
Step-by-step explanation:
The volume of a sphere is

We are told our volume is 500pi/3, so we fill that in and solve for r:

Start by multiplying both sides by 3 over 4 pi:

Simplifying gives us

Take the cubed root of both sides to get that
r = 5
The unkown side legnth is 9 centimeteres long all you had to do was subtract all the numbers from 44 and what your left with is the unknown side.
Answer:

Step-by-step explanation:
You only need two points on a line to find the equation for that line.
We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.
I see ~(67.5,67.5) and ~(64,65).
Now once you have your points, we need to find the slope.
You may use
where
are points on the line.
Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.
Like this:
( 64 , 65 )
-( 67.5, 67.5 )
--------------------
-3.5 -2.5
So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.
Now use point-slope form to find the equation:
where
is the slope and
is a point on the line.

Distribute:

Simplify:

Add 65 on both sides:

Simplify:

Answer:=530
Step-by-step explanation:
Answer:
b) y-3x = 1
c) 3x+1 = y
Step-by-step explanation:
I think you forgot to write a little part of the question. If your complete statment with this condition, i have the answer.
"Kevin said that if you triple his age the result will be 1 less than his mother age. Which of any of these Equation shows the relationship between Kevin's age x and his mothers age Y choose all that are correct
a) 3x-y=1
b) y-3x=1
c) 3x+1=Y
d) 3x=1-y"
you can write "the triple of this ages" as: 3x. and the result is y-1. That is:
3x = y-1
That equation can be rewrite as:
1. Passing -1 to the other side as +1 you will have: 3x+1=y. That is option c).
2. From last point 3x+1=y. Passing 3x to the other side as -3x you will have: y-3x=1. That is option b).