Answer:
If
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:

Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:

Where
is the altitude of the cone, measured in inches. If
, then:

And:

Given that
, the following second-order polynomial is obtained:

Roots can be found by the Quadratic Formula:



As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
Write the numbers in order first,
4, 6, 8, 9, 11, 12, 13
Middle number in sequence is the median, in this case median is 9.
What is the mean of this data set? 12,17,16,10,20,13,14,14,12,12,19,18
Gemiola [76]
Answer:
14.75 :) please give me brainliest :)
Step-by-step explanation:
To solve this we are going to use the exponential function:

where

is the final amount after

years

is the initial amount

is the decay or grow rate rate in decimal form

is the time in years
Expression A

Since the base (0.95) is less than one, we have a decay rate here.
Now to find the rate

, we are going to use the formula:

*100%

*100%

*100%

5%
We can conclude that expression A decays at a rate of 5% every three months.
Now, to find the initial value of the function, we are going to evaluate the function at






We can conclude that the initial value of expression A is 624.
Expression B

Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:

*100%

*100

*100%

*100%

12%
We can conclude that expression B grows at a rate of 12% every 4 months.
Just like before, to find the initial value of the expression, we are going to evaluate it at






The initial value of expression B is 725.
We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months.
- Expression A has an initial value of 624, while expression B has an initial value of 725.