Answer:
.903089987
Step-by-step explanation:
Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
49.5-40 = 9.5
so 40 x 8.18 = 327.20
8.18 x 1.5 = 12.27
12.27 x 9.5 = 116.57
327.20 + 116.57 = $443.77
The expressions 100×10 and the more complicated
(100 - 4a)(10 + a)
are calculating annual (expected) revenue. In 100×10 the 100 is the number of decks and the 10 is the price per deck. In (100 - 4a)(10 + a) the 100-4a is the number of decks and the 10+a is the price per deck. So a must be the amount the price increases.
Answer: amount of price increase, last choice
