Answer:
V=π*(2x^3+35x^2+176x+192)units^3
Step-by-step explanation:
V=πr^2h
r=x+8
h=2x+3
V=π*(x+8)^2*2x+3
=π*(x^2+16x+64)*2x+3
=π*(2x^3+32x^2+128x+3x^2+48x+192)
=π*(2x^3+35x^2+176x+192)
Volume of the cylinder=π*(2x^3+35x^2+176x+192)units^3
Answer:
42°
Step-by-step explanation:
angle 3 + angle 4 = 180° because together they make a straight line. So your equation should be 23x + 7x = 180. Add the like terms and you get 30x=180. Divide by 30 on both sides to get x. now you know that x=6. angle 4 = 7x. so you would multiply 7*6 to get 42. Thus angle 4= 42°
Answer:
Step-by-step explanation:
<h2> </h2>
This definition is called an Affine transformation
Answer:
a) ΔF'G'H' is the image of ΔFGH
b)Center of dilation (7,-1)
c) Scale factor: 
Step-by-step explanation:
Question a
Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.
Question B.
To find the center of dilation, draw straight lines through any two corresponding points.
The straight lines will meet at (7,-1).
This is called the center of dilation.
See graph in attachment.
Question c
The scale factor of the dilation is given by;





