Answer:
$36
Step-by-step explanation:
1. Determine the surface area of the largest jaw breaker
Surface area of a sphere = 4πr²
4 x 3.14 x 2² = 50.24in²
2. Determine the surface area of the new jaw breaker
4 x 3.14 x 6² = 452.16 in²
3. Determine the cost per area
4/ 50.24
4. Determine the price for the new jaw breaker
4/ 50.24 x 452.16 = $36
Answer: D. 72 m
Step-by-step explanation:
The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.
Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.
But be careful, we're not done yet... We still have to divide by 3
216 / 3 = 72
we can be sure this answer is correct because the other answers are clearly too big
here's your answer, hope this helps :)
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Answer:
The answer is 0.123.
Step-by-step explanation:
You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:
⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)
⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)
Either formula works, but I'm going to choose to work with the first formula.
Therefore:
P(Spade) = 
P(Red/Spade) = 
So:
P(Spade∩Red) = *
= 
= 
(3,59)(5,87)
slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope
y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)
