Answer:
B) 2771 cubic centimeter
Step-by-step explanation:
first find the volume of the cylinder
V=πr^2h
V=3.14*7^2*26
V=4002.39
then find the volume of the cone
V=πr^2h
/3
V=3.14*7^2*24/3
V=1231.5
subtract the volume of the cone from the cylinder
4002.39-1231.5
2770.89
round to the nearest whole number
2771
2x - y = 1
y = 2x -1
slope = 2
perpendicular slope = -1/2
y = mx + c
y = -1/2 + c
at point (3,2)
2 = -1/2 (3) + c
c = 2 + 3/2
c = 7/2
y = -1/2 x + 7/2
y + 1/2x = 7/2
2x - y = 1 ------------------- (1)
y + 1/2x = 7/2 -------------(2)
(1) + (2):
2x + 1/2x = 1 + 7/2
5/2 x = 9/2
5x = 9
x = 9/5 ---- sub into (1)
2x - y = 1
2(9/5) - y = 1
18/5 - y = 1
y = 18/5 - 1
y = 13/5
Ans: x = 9/5, y = 13/5
Answer:
a = 1/25
Step-by-step explanation:
The vertex form of the parabola is
y = a(x-h)^2 +k
where (h,k) is the vertex
y = a(x-2)^2 -4
We have a point on the parabola (-3,-3) so substitute this into the equation
-3 = a(-3-2)^2 -4
-3 = a(-5)^2 -4
Add 4 to each side
-3+4 = a(25) +4-4
1 = 25a
Divide each side by 25
1/25 = a
y = 1/25(x-2)^2 -4
Answer:
B or 70 because 2 lines are congruent so that means the angles are congruent so 180-40=140 and 140/2=70