The volume of a sphere is equal to (4/3)pi*r^3
The volume of your sphere is then (4/3)*pi*r^3 = (4/3)*3.14159265*18^3 = 24429.024 cubic units. That is not one of the answer choices. The closest choice appears to be D.
Cross multiply 3x-5 with 4 and 4x + 1 with 2
Which it would give you 12x-20=8x+2 then solve for x
Answer:
RECT and ANGL are similar triangles with a ratio of 9:16, and for TR, we have TR:24 in the ratio 9:16 so TR = 13.5
Hope this helps!
System A:
6x + y = 2
-x - y = -3
System B:
2x - 3y = -10
-x-y = -3
Solve:
System A:
6x + y = 2
y = 2 - 6x
-x - (2-6x) = -3
-x - 2 + 6x = -3
5x = -3 + 2
5x = -1
x = -1/5
y = 2 - 6(-1/5)
y = 2 + 6/5
y = 2 + 1.2
y = 3.2 System A: x = -1/5 or -0.2 ; y = 3 1/5 or 3.2
System B:
2x - 3y = -10
2x = -10 + 3y
x = -5 + 1.5y
-x - y = -3
-(-5 + 1.5y) -y = -3
5 - 1.5y - y = -3
-2.5y = -3 - 5
-2.5y = -8
y = 3.2
x = -5 + 1.5(3.2)
x = -5 + 4.8
x = -0.2 System B: x = -0.2 ; y = 3.2
<span>B) They will have the same solution because the first equations of both the systems have the same graph.</span>
