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Liono4ka [1.6K]
3 years ago
12

About 79,000 people live in a circular region with a population density of about 513 people per square mile. Find the radius of

the region. Round your answer to the nearest whole number.
Mathematics
1 answer:
Natalija [7]3 years ago
5 0

To solve this problem, let us first assign some variables. Let us say that:

d = represents the population density of the circular region (in units of 513 people per square mile)

p = represents the population of the circular region (in units of people)

r = is the radius of the circular region

 

Now we can see that if we divide p by d, we can get a value which has a units of square mile. Thus the area of the region, hence:

Area = 79,000 people / (513 people per square mile)

Area = 154 square mile

 

The area of a circle has the formula:

Area = π r^2

Therefore calculating for r:

154 square mile = π r^2

r = 7 miles            (ANSWER)

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Answer:

x=-2

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Answer:

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3 years ago
On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

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y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

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x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

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14z = 28

z = 28 / 14

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y + 3(2) = 7.75

y + 6 = 7.75

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x + 4(1.75) + 2 = 13

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x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0
3 years ago
A wheelchair ramp is in the shape of a triangular prism. it has a base area of 37.4 square yards and a height of 5 yards. find t
mina [271]
It's not the volume of the ramp, it's the angle. 

anyways here's how to use trig to find the answer:

Tan <A= opposite/ adjacent 
Tan <A= 5.0/ 37.4

<A= tan-1 (5.0/ 37.4)

<A= 7.61 degrees. 
7 0
3 years ago
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