A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
inches
Part B
How many miles are represented by
1
4
inch on the map?
Enter your answer in the box.
miles
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OpenStudy (anonymous):
i know part A , but i dont know part B
563blackghost (563blackghost):
Oh ok...
OpenStudy (anonymous):
whats part B? @Vocaloid
Vocaloid (vocaloid):
again, set up a proportion and cross multiply.
OpenStudy (anonymous):
is part B 50?
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Vocaloid (vocaloid):
|dw:1444960439742:dw|
Vocaloid (vocaloid):
cross multiplying gives us
2x = (1/4)(25)
solve for x.
OpenStudy (anonymous):
is this for part b?
Vocaloid (vocaloid):
yes...
OpenStudy (anonymous):
i got x = 25/8
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Vocaloid (vocaloid):
great, they might want it as a decimal, I'm not sure.
OpenStudy (anonymous):
ok next :)
OpenStudy (anonymous):
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 4π square inches
B. 8π square inches
C. 16π square inches
D. 32π square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 4π square inches
B. 12π square inches
C. 36π square inches
D. 40π square inches
Vocaloid (vocaloid):
area = pi*r^2, where r is the radius of the circle.
OpenStudy (anonymous):
how do i do that for Part A?
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Vocaloid (vocaloid):
find the radius of the circle....
Vocaloid (vocaloid):
radius = (1/2)*diameter
OpenStudy (texaschic101):
you understand geny ?
OpenStudy (anonymous):
i got 4
Vocaloid (vocaloid):
good now find the area.
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OpenStudy (anonymous):
how?
Vocaloid (vocaloid):
I already told you. please pay attention.
OpenStudy (anonymous):
36
Vocaloid (vocaloid):
nope.
Vocaloid (vocaloid):
go back and read over what I said before.
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OpenStudy (anonymous):
16
Vocaloid (vocaloid):
you're forgetting the pi
Vocaloid (vocaloid):
it should be 16pi
OpenStudy (anonymous):
oh sorry
OpenStudy (anonymous):
so 4 pi and 16 pi?
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Vocaloid (vocaloid):
the radius is 4 and the area is 16pi.
OpenStudy (anonymous):
so part A is 16 pi .. whats part b?
Vocaloid (vocaloid):
for Part B, the radius increases by 2
so the new radius is 6
now find the area.
OpenStudy (anonymous):
16?
Vocaloid (vocaloid):
no.
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Vocaloid (vocaloid):
use the area equation.
OpenStudy (anonymous):
36
Vocaloid (vocaloid):
36pi
OpenStudy (anonymous):
yes so part b is 36 pi?
Vocaloid (vocaloid):
yes.
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OpenStudy (anonymous):
ok next! :)
OpenStudy (anonymous):
@Vocaloid
Vocaloid (vocaloid):
start with the shaded region
Vocaloid (vocaloid):
split the region like so:|dw:1444961768071:dw|
Vocaloid (vocaloid):
|dw:1444961803976:dw|
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Vocaloid (vocaloid):
start by finding the area of the triangle on top
the base is 10 and the height is 3
OpenStudy (anonymous):
whats the equationto find the area of the triangle?