Answer:
9 cm
Step-by-step explanation:
Use the cone volume formula, V =
r²
Plug in the volume and radius, and solve for h, the height:
V =
r²
27
=
(3²)
27
= 9

3 = 
9 = h
So, the height of the cone is 9 cm
Answer:
Step-by-step explanation:
A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.
If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:
Logarithmic functions and exponential functions are inverse and opposite of one another
The logarithmic function is
, and the length at 8 pascals is 3 units
<h3>How to determine the
logarithmic function</h3>
The exponential function is given as:

Express f(x) as y

Swap the positions of x and y

Take the logarithm of both sides

Apply the rule of logarithm

Divide both sides by log(2)

Apply the change of base rule of logarithm

When the strength is 8 pascals, we have:

Express 8 as 2^3

So, we have:

Evaluate log 2 base 2

Hence, the logarithmic function is
, and the length at 8 pascals is 3 units
Read more about logarithmic and exponential functions at:
brainly.com/question/11464095
Answer:
=−3
Step-by-step explanation:
=17a+−37−121a+17
=21(a−3)7(−a+3)
=−3
Difference of 2 perfec squares is
(a^2)-(b^2)
if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares
first one
8 is not perfect square
2nd one
(4e^4)^2-(9g^2)^2
third
25 is odd, so it cannot be split up into 2 nice numbers
4th
(11m^9)^2-(3n^5)^2