Answer:
8 units because the diameter is the side to side length of the circle so when you count it you get 8 units.
So...
-2(16-4x)-8=6(x+2) Multiply
-32+8x-8=6x+12 Add like terms
-40+8x=6x+12 Subtract 6x from both sides
-40+2x=12 Add 40 to both sides
2x=52 Divide 2 from both sides
x=26 Substitute to check
-2(16-4(26))-8=6((26)+2) Add and multiply in parenthesis
-2(-88)-8=6(28) Multiply
176-8=168 Subtract
168=168
So x=26
I hope this helps! Have a great day!
Answer:
3
Step-by-step explanation:
It was right on Khan Academy
Answer:
The water is being pumped at a speed of
Step-by-step explanation:
By congruence of triangles, the radius r of the cone base when its height is 200 cm satisfies the relation
r/200 = 400/600
<h3>(See picture attached)
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So, r = 400/3 cm when the water is 200 cm high.
The volume of a cone with radius of the base = R is given by
So, the volume of water when it is 200 cm high is
One minute later, the height of the water is 200 cm + 20 cm = 220 cm
The radius now satisfies
r/220 = 400/600
and now the radius of the base is
r = 440/3
and the new volume of water is
So, the water is raising (being pumped) at a rate (speed) of