V ( cylinder ) = r² π h
V ( cone ) = 1/3 r² π h
A cone that fits exactly inside the cylinder has the volume:
V ( cone ) = 1/3 V ( cylinder = 1/3 · 81 = 27 ft³
Answer:
Step-by-step explanation:
Comparing the given y-4=-2/5(x-1) with the standard point-slope formula for the equation of a straight line, we get
y-4=-2/5(x-1)
y-k = (-2/5)(x - 1). Thus, k = 4 and h = 1, and so one point on this new line is (1, 4).
The slope is -2/5.
First, plot a dark dot at (1, 4).
Next, starting with your pencil point on that dot, move your point 5 units to the right and then 2 units down. Plot a dark dot there.
Finally, draw a line through your two dark dots.
Answer:
Henri invested $ 4,500 in bonds and $ 19,500 in stocks.
Step-by-step explanation:
Given that Henri has $ 24000 invested in stocks and bonds, and the amount in stocks is $ 6000 more than three times the amount in bonds, to determine the amount that Henri invested in stocks (S) and the amount he invested in bonds (B), the following calculations must be performed:
6000 + 3B + B = 24000
3B + B = 24000 - 6000
4B = 18000
B = 18000/4
B = 4500
S = 6000 + 3x4500
S = 6000 + 13500
S = 19500
Thus, Henri invested $ 4,500 in bonds and $ 19,500 in stocks.
Answer:
1, 12/11, 1.23, square root of 3
Step-by-step explanation:
Answer:
I think C
Step-by-step explanation: