We know that
2 1/2----------> (2*2+1)/2-----------> 5/2
[unit rate of soda to pineapple juice]=[quantity of soda]/[quantity of pineapple]
[unit rate of soda to pineapple juice]=[5/2]/[4/5]----> 25/8-------> 3.125---> 3 1/8
the answer is 3.125 (3 1/8)
Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
The formula for volume of a sphere is (4/3)πr², with r being the radius. Since the diameter of the sphere is 18 cm, the radius is 18/2, which is 9. Now substitute the 9 for r so you have:
V=(4/3)π*9²
V=(4/3)π*81
V=108π
108π is the exact volume of the sphere.
Answer:
4.25 sq. ft
Step-by-step explanation:
l = 24
w = 0.5
h = 12
SA = 2lw + 2lh + 2wh
2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft
Answer:
C
Step-by-step explanation:
6(x+4)
the 6 on the out side is multiplied by the terms in the blacket
