Answer:
(a) fave = 8
(b) c = 64/9
(c) c ≈ 7.111
Step-by-step explanation:
(a) The average value of the function is its integral over the interval, divided by the width of the interval.

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(b) We want ...
f(c) = 8
3√c = 8 . . . . . use f(c)
√c = 8/3 . . . . . divide by 3
c = (8/3)² . . . . square
c = 64/9
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(c) c ≈ 7.111
Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = 
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h

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Calculating the volume of a sphere

Expand the above expression

Substitute 

Recall that 
So,




V = two-third (27)
Y=12
x=6
The triangle is a 30-60-90 triangle!
9514 1404 393
Answer:
ASA
Step-by-step explanation:
The shared angle, the marked angle, and the marked sides between those angles are congruent. That is, you have congruent Angle, Side, Angle, so the ASA postulate applies.
Answer:

Step-by-step explanation:
Hello There!
First thing we want to do is find the formula for circumference of a circle
C = 2(3.14)r
where r = radius
we are given the diameter so we have to convert that into radius to do so we just divide by 2
42/2=21 so the radius equals 21 inches
now we just plug in 21 for r in the formula

So we can conclude that the circumference of the circle is 131.88 inches