Answer:
π(3 in)²(10 in) -8(4/3)(1.5 in)³
Step-by-step explanation:
The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...
V = πr²h = π(3 in)²(10 in)
The volume of 8 spheres with a radius of 1.5 inches is ...
V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³
The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...
V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice
Answer:
number 4 on edge
Step-by-step explanation:
Since the answer choices differ in their first coordinate, it is sufficient to determine that one. The 2:5 ratio means the distance from A to the point is 2/(2+5) = 2/7 of the total distance A to B.
The x-distance from A to B is 20 -1 = 19 units. 2/7 of that is (2/7)·19 = 38/7 = 5 3/7. Adding this value to the x-coordinate of A gives the x-coordinate of the point of interest: 1 +5 3/7 = 6 3/7.
The appropriate answer choice is ...
... (6 3/7, 12 2/7)
I have a proof for these problems but seems you have urgent help.
The answer of the first question is the THIRD one which is (x - 2)/(x<span>² - 6x + 8)</span>
The answers of the second question are x ≠ -1 and x <span>≠ 0.
The answer of the third question is 6 + 3x.</span>
The equation of a circle is defined by:
(x-h)^2+(y-k)^2=r^2
Where (h,k) s the center and r is the radius.
We can translate the word problem into (x+2)^2+(y-8)^2=16
:)