<h3>
Answer: 351pi cubic feet</h3>
Work Shown:
r = 9 is the radius
h = 13 is the height
V = volume of cone
V = (1/3)*pi*r^2*h
V = (1/3)*pi*9^2*13
V = (1/3)*pi*81*13
V = (1/3)*81*13*pi
V = 351pi = exact volume in terms of pi
note: if you use pi = 3.14 as an approximation, then the cone has a volume of roughly 351*pi = 351*3.14 = 1102.14 cubic feet. Use a more accurate version of pi to get a more accurate approximation.
Answer:
x=44°
y=68°
Step-by-step explanation:
this is an isosceles triangle, so the angle y is the same as the angle touching the 112°. So y+112=180. subtract 112 on both sides and you get 68° for y.
the angles inside a triangle sum up to 180°
so 68°+68°+x=180°. x=44°
1:4
15 minutes to 60 minutes because there are sixty minutes in an hour
15/15 = 1 60/15 = 4
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
22. 14x
24. 14y+4x
26.8x
28. 7(5x+9y)
30. 7x+(3 x 4) [not sure]
32. 4y & 3y are like terms
5 is a constant