Volume = (4/3) * PI * radius^3
80 * PI = (4/3) * PI * radius^3
The 'PI's' cancel out leaving
80 = (4/3) * radius^3
radius^3 = 80/(4/3)
radius^3 = 60
radius = cube root (60)
Circumference C=2pi*r
But in question C=40pi
This implies that 2pi*r=40pi
This implies that r=20 in.
d=2*r=40 in.
Hope this helps :)
Answer:
19,350.4 or 19,350 if they want it rounded
Step-by-step explanation:
To find the mean you must add up all the numbers. Then, divode that sum by the amount of numbers you added up.
Explanation:
16,746 + 18,423 + 20,536 + 19,572 + 21,475 = 96,752
96,752/5 = 19,350.40
Hope this helps you out!! : )
9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Answer:
(1,-44), (2,-48),(3,-52).......
Step-by-step explanation:
4(1)+y=-40
4+y=-40
y=-40-4
y=-44
(1,-44)
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