Answer:
B.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As given in the question, we know that:
The ratio of the area of the circle to the area of the square is π/4
- The formula to find the volume of the cone is:
V = 1/3*the height*the base area
<=> V1 = 1/3*h*π
- The formula to find the volume of the pyramid is:
V2 = 1/3*the height*the base area
<=> V = 1/3*h*4
=> the ratio of volume of the cone to the pyramid is:
= 
= (1/3*h*π ) / ( 1/3*h*4 )
= π/4
S we can conclude that the volume of the cone equals π/4 the volume of the pyramid
Hope it will find you well.
Its 1/24 cubic centimetre.
Hope this helps.
Answer:
Step-by-step explanation:
Set ratios and solve for x
<u>Corresponding sides are AC with A'C' and CB with C'B'</u>
- AC/A'C' = CB/C'B'
- (x - 1)/2 = (x + 4)/3
- 3(x - 1) = 2(x + 4)
- 3x - 3 = 2x + 8
- 3x - 2x = 8 + 3
- x = 11
<u>Find the values of AC and CB:</u>
- AC = x - 1 = 11 - 1 = 10 cm
- CB = x + 4 = 11 + 4 = 15 cm
<h3>
Answer: Perpendicular</h3>
=========================================================
Work Shown:
Solve the first equation for y
3x+7y = 15
7y = -3x+15
y = (-3x+15)/7
y = (-3/7)x + 15/7
The slope here is -3/7
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Solve the second equation for y
7x-3y = 6
-3y = -7x+6
y = (-7x+6)/(-3)
y = (7/3)x - 2
The slope here is 7/3
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The slopes -3/7 and 7/3 are not equal, so we don't have parallel lines.
The lines however are perpendicular because the slopes multiply to -1
(-3/7)(7/3) = (-3*7)/(7*3) = -21/21 = -1
