Answer:
V = 65.19
Step-by-step explanation:
Remark
You need r. You can get it from the circumference of the circular base.
Once you have that, the formula is Area = 1/3 pi r^2 j
Givens
C = 20.236
h = 6 feet
Formulas
C = 2 pi r
Volume = 1/3 pi r^2 h
Solution
Find r from C = 2 pi r
20.236 = 2 * 3.14 * r Combine the right
20.236 = 6.28 * r Divide by 6.28
20.236/6.28 = 6.28 * r / 6.28
3.222 = r
Now that you have r, you can solve for the volume
V = (1/3) pi 3.222^2 * 6 Square r
V = 1/3 * pi * 10.381 * 6 Now multiply through by all, but pi
V = 20.762 pi
V = 65.194
Answer:
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Step-by-step explanation:
Answer:
Type A coffee in lbs = 97 lbs
Step-by-step explanation:
Type a = 4.55/lbs = x
type b = 5.70/lbs = y
Total in lbs = 147lbs
total in sales = 726.50
First,
x + y = 147 lbs -------------------equ 1
4.55x + 5.70y = lbs ------------ equ 2
<em>Multiply equ 1 by 4.55</em>
4.55x + 4.55y = 668.85 -------------equ 3
4.55x + 5.70y = 726.50 ------------equ 4
<em>Subtracting equ 3 from equ 4</em>
1.15y = 57.65
y = 50
<em>Substituting y = 50 into equ 1</em>
x + 50 = 147
x = 97
Answer:
y = (x + 8)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² + 16x
y = x² + 2(8)x + 64 - 64 + 70
= (x + 8)² + 6 ← in vertex form
Answer:
x < -4 or x > 8
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8
Step-by-step explanation:
l -4 +2x l -3 > 9
l -4 +2x l > 12
l 2x - 4 l > 12
2x - 4 > 12
2x > 16
x > 8
-2x + 4 > 12
-2x > 8
x < -4
On a number line, make two arrows:
1) going towards left from -4 with an open circle at -4
2) going towards right from 8 with an open circle at 8