Jerome makes 1/3 of the whole profit. So to find the overall profit of the company, multiply his profit by 3.
If he makes $150,000 this is how you would solve:
150,000•3= $450,000
450,000 dollars is your answer.
The dot is just a multiplication sign.
The minimum for g(x)=x2-10
36
![Volume\,\,of\,\,cone=1527.1\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D1527.1%5C%2C%5C%2Ccm%5E3)
So, Option C is correct.
Step-by-step explanation:
We need to find Volume of cone.
We are given:
π = 3.14
Length = 27 cm
Diameter = 15 cm
The formula used to find Volume of cone is:
![Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%20r%5E2h)
We are given diameter but we need radius in the formula
So, Radius = Diameter/2 = 15/2 = 7.5 cm
We need to find height of cone.
Using Pythagoras theorem:
![h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93](https://tex.z-dn.net/?f=h%5E2%3Dp%5E2%2Bb%5E2%5C%5C%20%2827%29%5E2%3Dp%5E2%2B%287.5%29%5E2%5C%5C729%3Dp%5E2%2B56.25%5C%5Cp%5E2%3D729-56.25%5C%5Cp%5E2%3D672.75%5C%5CTaking%5C%2C%5C%2Csquare%5C%2C%5C%2Croot%3A%5C%5Cp%3D25.93)
So, Height of cone = p= 25.93
So, r= 7.5 and h= 25.93 and π = 3.14
Putting values in the formula:
![Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D%5Cfrac%7B1%7D%7B3%7D3.14%2A%287.5%29%5E2%2A25.93)
![Volume\,\,of\,\,cone=1526.62](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D1526.62)
Rounding off to the nearest tenth:
![Volume\,\,of\,\,cone=1527.1\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccone%3D1527.1%5C%2C%5C%2Ccm%5E3)
So, Option C is correct.
Keywords: Volume of cone.
Learn more about Volume of cone at:
#learnwithBrainly
Answer:
ok i did one of these before it was the 2nd or 3rd one
If the number k is greater than 3, we have the following inequality:
![k>3](https://tex.z-dn.net/?f=k%3E3)
In order to evaluate k/3, let's divide the inequality by 3:
![\begin{gathered} k>3 \\ \frac{k}{3}>\frac{3}{3} \\ \frac{k}{3}>1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20k%3E3%20%5C%5C%20%5Cfrac%7Bk%7D%7B3%7D%3E%5Cfrac%7B3%7D%7B3%7D%20%5C%5C%20%5Cfrac%7Bk%7D%7B3%7D%3E1%20%5Cend%7Bgathered%7D)
So the expression k/3 is greater than 1, therefore the correct option is D.