Answer:
Lateral area of the smaller cylinder = 33.6
π mm²
Step-by-step explanation:
Circumference of the base of a cylinder is 24π mm . A similar cylinder has a base with circumference of 60π mm. Since we are dealing with the circumference of two similar cylinder we need to know the scale factor.
The square factor can be expressed as follow
Scale factor is the ratio between the larger circumference of the larger cylinder to the circumference of the smaller cylinder.
Scale factor = 60π/24π = 2.5
The lateral area of the larger cylinder = 210π mm².
The scale factor squared is equal to the ratio of the larger cylinder surface area to the smaller cylinder surface area.
Therefore,
2.5² = 210π/a
where
a = surface area of the smaller cylinder
cross multiply
6.25
a = 210π
divide both sides by 6.25
a = 210π/6.25
a = 33.6
π mm²
Lateral area of the smaller cylinder = 33.6
π mm²
Answer:
approximately 7 hours
see the explanation
Step-by-step explanation:
The picture of the question in the attached figure
Let
x ----> the time worked in hours
y ----> the amount earning in dollars
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have a proportional relationship
step 1
Find approximately how many hours would it take Delia to earn $250 ?
Looking at the graph
For y=$250 The value of x is approximately 7 hours
see the attached figure N 2
step 2
Find the exact value
from the graph take the point (5,175)
Find the value of k
----> 
The linear equation is
For y=$250
substitute
solve for x
Answer:
do you need to know what m is or what the equasion equals
1/92
what is the number we can divide both 45 and 4140 by. it is 45. divide.
45/45=1
4140/45=92
the answer is 1/92
