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Juli2301 [7.4K]
3 years ago
11

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2  = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after
evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

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9 weeks, $310  

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Answer:

10 weeks, $310  

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money

x= the amount of time in weeks

You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:

25x+60=30x+10

60-10=30x-25x

50=5x

x=50/5= 10

After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:

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-y=30(10)+10= 310

According to this, the answer is 10 weeks, $310.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

(3k^4) (7k^5)

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