You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
Answer:
For question 3, you would just add 2 to the x values and subtract 2 from the y values, so it would be:
J' (-2, 5)
K' (2, 6)
L' (1, 2)
M' (-3, 1)
For question 4 you would subtract 7 from the x values and 6 from the y values, and that would be:
W' (-6, 1)
X' (-1, -1)
Y' (-3, -6)
Z' (-8, -4)
For question 9 you would end up with:
X' (6, -5)
Y' (7, 1)
Z' (4, 0)
For question 10 you would end up with:
Q' (-1, 2)
R' (1, 7)
S' (-2, 6)
T' (-4, 1)
For question 11 you would end up with:
L' (4, 1)
M' (8, 5)
N' (6, 7)
P' (2, 3)
For question 12 you would end up with:
G' (6, -7)
H' (6, -4)
I' (1, -7)
Hope this is what you were looking for!
Step-by-step explanation:
Answer:
A
1) horizontal translation of 2 units towards left
2) vertical translation of 10 units upwards
B)
1) k = -2
2) k = 10
C)
1) g(x) = f(x + 2)
2) g(x) = f(x) + 10
Step-by-step explanation:
A & B)
1) horizontal translation of 2 units towards left
2) vertical translation of 10 units upwards
C)
1) g(x) = f(x + 2)
2) g(x) = f(x) + 10
Answer:
19
Step-by-step explanation:
f(-4) = 15-4((-4)+3)
= 15-4(-1)
= 15-(-4)
=15+4
Step-by-step explanation:
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