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Travka [436]
3 years ago
8

You are visiting a friend in Coshocton and need to get to Cedar Point in Sandusky. These two cities are 106 miles apart. Using t

he scale 3cm = 50 miles, how many centimeters apart are the two cities? Make sure you label your answer. Round your answer to The nearest hundredths.
Choices

A) 6.3 cm

B)6.31 cm

C)6.32cm

D)6.33 cm

E)6.34 cm

F)6.35 cm

G)6.36 cm

H)6.37 cm

I)6.38 cm

J)6.39 cm
Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

G

Step-by-step explanation:

Set-up a proportion with equal ratios.

\frac{3}{50}=\frac{x}{106}

Solve for x by cross multiplying.

3*106 = 50*x

318 = 50x

6.36 = x

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A square grassy field is watered by 4 sprinklers. The sprinklers spray water in a circular pattern, as shown above. If the field
enot [183]
The answer is (3600 - 900π) ft²

Step 1. Find the radius r of circles.
Step 2. Find the area of the portion of the field that will be watered by the sprinklers (A1)
Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)

Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft

Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
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Step 3. Find the total area of the field (A2)
The field is actually a square with side s = 60 ft.
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Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
A = A2 - A1
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