Answer:
37.699 cm³
Step-by-step explanation:
Sa of cone:
pi×r×l + pi×r²
(3pi × l) + (pi × 3²) = 24pi
3l + 9 = 24
3l = 15
l = 5 (slant height)
Height: h
h² + r² = l²
h² + 3² = 5²
h² = 16
h = 4 cm
Volume = ⅓ × pi × r² × h
= ⅓ × pi × 3² × 4
= 12pi cm³
= 37.69911184 cm³
Yes, to make it simpler and easier to tell, you could put both these fractions into decimals or percentages.
4/6 as a decimal would be .66 or 66%
4/7 as a decimal would be .57 or 57%
Hope this helps! :}
It’s the 2nd one
Sisjsjjd
Answer:
x = 2
Step-by-step explanation:
Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
