Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = 

h
where: r is its base radius and h the height
volume of the given cylinder = 
x
x h
= 
x 4
x h
= 

h
volume of a sphere = 


where r is the radius.
volume of the given sphere = 
x 
= 
x 9 
= 12

Since,
volume of the cylinder = volume of the sphere
Then we have;


h = 12

4
h = 36

subtract
from both sides
4
h = 36
x
divide both sides by 4
h = 
= 9x
h = 9x
Answer:
(A)
Step-by-step explanation:
The standard form of the equation of a circle is given as:

Simplifying the above given equation, we get




which is the required general form of the equation.
Hence, option A is correct.
The number is 1. 1 multiplied by 100 gives 100 as answer. Lisa claims that <span>when multiplying any number between 0 and 10 by 100, the product is greater than 100. In this case the answer is equal to 100 not greater than 100.
So this proof shows that Lisa's claim is not correct. </span>
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Polynomial long division is done the way any long division is done. Find a "partial quotient", subtract from the dividend the product of that partial quotient and the divisor. The result is a new dividend. Repeat until the degree of the dividend is less than that of the divisor.
__
In the attached, the "Hints" show you how the partial quotient is found, and they show you how the product of the partial quotient and divisor is found.
The partial quotient term is simply the ratio of the highest degree terms of dividend and divisor. (Unlike numerical long division, there is no guessing.)
__
The remainder is the dividend of lower degree than the divisor. As in numerical long division, the full quotient expresses the remainder over the divisor.
For example, 5 ÷ 3 = 1 r 2 = 1 + 2/3.
Your full quotient is (n+5) +1/(n-6).
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0 (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9 (this is the time )
Answer: the ball hit the ground in 9 s.