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erastovalidia [21]
3 years ago
12

A radio station has a broadcast area in the shape of a circle with equation x2+ y2=5,625, where the constant represents square m

iles.
-Graph the equation and state the radius in miles.
-What is the area of the region in which the broadcast from the station can be picked up?

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

r = 75 mi; A = 17 671 mi²

Step-by-step explanation:

(a) Graph

The equation for a circle is

x² + y² = r²

Your equation is

x² + y² = 5625 = 75²

The graph is a circle with a radius of 75 mi.

(b) Broadcast area

A = πr² = π × 75² = π × 5625 ≈ 17 671 mi²

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uysha [10]

Answer:

a)9:7 b) 9:16 c) 7:16

Step-by-step explanation:

the no of girls (320-180)=140

a) ratio of no of boys and girls=180/140=9/7=9:7

b)ratio of boys and total pupil=180/320=9/16=9:16

c) ratio of the girls and pupils=140/320=7/16=7:16

6 0
3 years ago
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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
svp [43]

Answer:

Step-by-step explanation:

This is exponential, of the form

y=a(b)^x where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

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6 0
2 years ago
If several points are graphed on a number line, is the point that is the farthest from 0 always the greatest?explain.
balandron [24]

Answer:

No

Step-by-step explanation:

On a number line, the 0 is in the middle. Positive numbers are to the right of the 0 and negative numbers are to the left of the 0. A point farthest from 0 could be on the left side and therefore be really small. Therefore the point farthest from 0 is not always the greatest as it could also be the smallest

5 0
3 years ago
Combine like terms. x^2y-3xy^2-6x^2y
balu736 [363]

The result after combining like terms is: -5x^2y-3xy^2

Step-by-step explanation:

Given expression is:

x^2y-3xy^2-6x^2y

The like terms are those terms with whom the variable or product of variables is same.

As in the given expression, first and third, both terms have x^2y so both terms are like terms

Combining like terms, means the indicated operation is performed on them

So,

Combining like terms:

x^2y-6x^2y-3xy^2\\= -5x^2y-3xy^2

Hence,

The result after combining like terms is: -5x^2y-3xy^2

Keywords: Expressions, polynomials

Learn more about polynomials at:

  • brainly.com/question/846474
  • brainly.com/question/833559

#LearnwithBrainly

3 0
2 years ago
Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?
postnew [5]

Answer:

approximately 22.2 miles

Step-by-step explanation:

16mi/72% =xmi/100%

72x=1600

x=22.2222222.....

6 0
3 years ago
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