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sashaice [31]
3 years ago
8

The scale of a map is 1 in : 40 mi. How many actual miles does 3 represent?

Mathematics
1 answer:
Alchen [17]3 years ago
7 0
40+40+40= 120. If each inch is 40 then add 40 3 times
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Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

3 0
3 years ago
Which ordered pair could replace the missing value and create a
Usimov [2.4K]

Answer:

C

Step-by-step explanation:

The same x value cannot be used more than once or it isn't a function.

8 0
3 years ago
Read 2 more answers
The function is y=6x.<br><br> Find the horizontal asymptote of the curve.
Lynna [10]

Answer:

y=-6x/square root (4x^2-160

Step-by-step explanation:

hope this helps please mark me brainliest

6 0
2 years ago
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The shaded area of the picture shows what part of the yard Rashon mowed in 15 minutes. He wonders how long it will take him to m
irina [24]

Answer:60

Step-by-step explanation:

6 0
3 years ago
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Jake wants to buy a skateboard. The one he is looking at cost $295. It is on sale for 35% off. How much will Jake save if he buy
Aleks [24]

Answer:

191.5

Step-by-step 103.5 explanation:

295 x 0.35(which is 35%) = 103.5

295 - 103.5 = 191.5

hope this helps

3 0
3 years ago
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