Answer:
Volume=21.195 cubic inch
Step-by-step explanation:
The volume of a cylinder varies jointly with its height and the square of the radius is expressed as
V∝hr^2
Introducing our constant of proportionality,K we have that
V =Khr^2
Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that
V =Khr^2
7.85=K 2.5 X 1^2
K=7.85/2.5 x1
K=3.14
Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?
V =Khr^2
V=3.14 X 3 X 1.5^2
V=21.195 cubic inch
Total ratio = 4+7 = 11
33/11 = 3
4x3 = 12
7x3 = 21
so the two groups are 12:21
which is also = 4:7
The multiplier is 1 + (percentage increase) = 1.0013.
_____
It make no sense to talk about percentage changes in temperature. Just sayin'.
Answer:
The length of AB is 
units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
∵ The endpoints of AB are (-4, 5) and (2, -7)
→ Let point (-4, 5) be (x1, y1) and point (2, -7) be (x2, y2)
∴ x1 = -4 and y1 = 5
∴ x2 = 2 and y2 = -7
→ Substitute them in the rule above to find the length of AB
∵ 
∴ 
∴ 
∴ The length of AB is units
