The candle has the shape of a cylinder with height H=6 in, and radius of the circular base R= (2.8)/2 =1.4 (in).
The volume of the cylinder is Area(base)*height =

(in cubed)
According to Cavalieri's principle, the volume of the candle is equal to the volume of the cylinder we described.
Answer: 37 in cubed
Ok, so you have the range correct. It is
120<___<150
(It should be less than or equal to, but there's no symbol for that, to my knowledge.)
But the term in the middle shouldn't be .25x
The reason is because that actually quadruples the price in the end, as you seem to have found out. Rather, instead of multiplying x by .25, multiply the numbers in the range by .75.
Here's why:
When you reduce something in price by 25%, you are paying for 75% of the original price. Not 25%. That would be a 75% discount.
So, in all actuality,your answer would be $90
Answer:
x = 14.7
Step-by-step explanation:
Use Law of Sines.
7/sin20=x/sin46
cross multiply
7sin46=xsin20
divide both sides by sin20 to isolate x
x = 7sin46/sin20
x = 14.72
Y = 5x + 4
Gradient = slope = 5
(0,4) = y - intercept