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Zina [86]
2 years ago
15

The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. suppose

intensity is 8000 units at a distance of 2 miles. what will the intensity be at a distance of 11 miles? round your answer to the nearest unit. a. 247 units b. 228 units c. 264 units d. 290 units
Mathematics
1 answer:
spayn [35]2 years ago
6 0

Answer:

The ratio of the new distance to the old distance is  (11/2) .

The intensity is inversely proportional to the square of the distance,

so the new intensity will be  (2/11)²  times the old intensity.

Intensity =                 8,000 (2/11)² =

                              32,000 / 121  =  262.463  units

  Rounded to the nearest whole unit:  262 units

Step-by-step explanation:

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3 years ago
Help please I’m stressed and tired only do circled ones
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Answer:

10. 48 degrees 11. Use explanation below. 12. 25 degrees 13.Use explanation below. 14. 63 degrees 15. Use explanation below. 16. 130.5 17. A. 48 degrees B. 90 degrees and C. 42 degrees 18. Explain

Step-by-step explanation:

10. All triangles angles add up to 180 degrees, so 100+32=132 and 180-132=48

11. Use the explanation above.

12. Using the rule above 88+57=145 and 180-145= 25

13. Use explanation above.

14. Add the two answers from 10 and 12. 48+25= 63

15. Use explanation above.

16. Using the triangle 180 degrees rule add 90 degrees (Angle a is a right angle which is always 90 degrees) to 40.5 degrees. 40.5 + 90= 130.5

17. You have angle A (48) angle B is a right angle aka 90 degrees and using the rule 90+ 48= 138 and 180-138= 42

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5 0
4 years ago
I need help with this math problem. Please someone help me if they can.
Veronika [31]
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6 0
3 years ago
Read 2 more answers
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone
nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0
3 years ago
Which equation represents the sentence?
marshall27 [118]
The answer would be B. 2x - 5 = 57
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3 years ago
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