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natali 33 [55]
3 years ago
12

At a zoo, the lion pen has a ring-shaped sidewalk around it. The other edge of the sidewalk is a circle with a radius of 11 m. T

he inner edge of the sidewalk is a circle with a radius of 9m. (A) write and simplify an expression for the extra area of the sidewalk. (B) find the approximate area of the sidewalk. Use 3.14 to approximate J,L.
Mathematics
1 answer:
Vikentia [17]3 years ago
5 0
Diameter = 2r
6 = 2r r = 3 for the radius of the flowerbed
If we were to include the sidewalk around the bed, the diameter would stretch out another meter in both directions, meaning adding 2 meters to the diameter making the new diameter 6 + 2 = 8 and 8/2 = 4 so 4 = radius of the circle including the sidewalk. Find the area of the big circle and subtract the area of the smaller circle to find the area of the sidewalk.
Small circle = pi*3 squared.
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Wewaii [24]

Answer:

y=-2/3

7y-16y-2=4

7y-16y=6

-9y=6

-y=6/9

simplify

y=-2/3

3 0
3 years ago
Students in a world geography class want to determine the distances between cities in Europe. The map gives all
galina1969 [7]

Using a proportional relationship, we have that:

  • a) The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.
  • b) The distance of two cities that are 5 miles apart is of 8 kilometers.
  • c) When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

<h3>What is a proportional relationship?</h3>
  • A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

y = kx

  • In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

y = kx

5 = 8k

k = \frac{5}{8}

k = 0.625

The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.

Item b:

From the graph, when y = 5, x = 8, hence:

  • The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

You can learn more about proportional relationship at brainly.com/question/13550871

4 0
2 years ago
Cylinder has a height of 15 centimeters and a radius of 10 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer t
tatuchka [14]

Answer: 4712.39 centimeters

Step-by-step explanation: Using the volume of a cylinder calculator, I got the answer of 4712.3889803847 centimeters, but rounded it to the nearest hundreth. Hope this helps!

3 0
3 years ago
Please help mee to figure out who is right
lina2011 [118]
Let me see if I am correct I will get back to u
7 0
3 years ago
12. The temperature was –3° C last night. It is now 4° C. What was the<br> change in temperature?
aniked [119]

Answer:

7

Step-by-step explanation:

-3 + 3 = 0

0 + 4 = 4

4 + 3 = 7

6 0
3 years ago
Read 2 more answers
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