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Flauer [41]
3 years ago
15

A circle with area 9 pi, has sector with central angle of 17/9 pi radians

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

The area of the sector is 17/2 π

Step-by-step explanation:

pi = π

To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle

(17π/9 rad) / (2π rad) = 17/18

Now we multiply the area of ​​the circle by this fraction and we will obtain the area of ​​the sector that we want

9π * 17/18 = 17/2 π

The area of the sector is 17/2 π

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A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10
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Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

m  = p(q)^x

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

m = 120(1.1)^x

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

m = 120(1.1)^x

m = 120

For the second day:

m = 120(1.1)^1

m = 132

For the third day:

m = 120(1.1)^2

m = 145.2

For the fourth day

m = 120(1.1)^3

m = 159.72

For the  fifth-day

m = 120(1.1)^4

m = 175.692

For the sixth-day

m = 120(1.1)^5

m = 193.2612

For the seventh-day

m = 120(1.1)^6

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732

= 1138.46052

≅ 1138

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