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ad-work [718]
4 years ago
13

Circle A has been dissected into 16 congruent sectors. The base of one sector is 1.95 units, and its height is 4.9 units. What i

s the approximate area of circle A?
a) 27.52 units^2
b) 48.92 units^2
c) 78.39 units^2
d) 76.44 units^2

Mathematics
2 answers:
MaRussiya [10]4 years ago
5 0

Answer:

76.44 took test

Step-by-step explanation:

lara31 [8.8K]4 years ago
4 0

Answer:

Option d) 76.44 units^2

Step-by-step explanation:

The approximate area of the circle is equal to the area of one sector, multiplied by 16

The area of one sector is approximate the area of one triangle

A=\frac{1}{2}(b)(h)

we have

b=1.95\ units

h=4.9\ units

substitute

A=\frac{1}{2}(1.95)(4.9)=4.7775\ units^{2}

Multiplied the area of one sector by 16

4.7775*16=76.44\ units^{2}

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<u>Step-by-step explanation:</u>

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In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20
maw [93]

Answer: She would take 51 minutes and 12 seconds

Step-by-step explanation: The world's fastest knitter was able to achieve 225 stitches in 3 minutes. This can be broken down into stitches per minute or even per second. For every minute the number of stitches made can be derived as;

Number per minute = Total stitches / Time

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Number per minute = 75

Also, number per second = 75/60

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The above calculations show that the knitter was able to make exactly 1.25 stitches per second.

She eventually knitted a scarf that was 20 cm by 120 cm (1.2 metres equals 120 centimetres). This means the scarf had a total area of

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She also used yarn that resulted in 1.6 stitches per centimetre. The total area of the scarf has been derived as 2400 square centimetres. Therefore the total number of stitches used for the entire scarf is derived as;

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Having earlier calculated her work rate as 1.25 stitches per second, knitting 3840 stitches would take the following amount of time;

Time taken = Total Stitches / Stitch per second

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Time taken = 3072

Therefore she took 3,072 seconds. Converting this into minutes results in (60 seconds equals 1 minute)

Time in minutes = 3072/60

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Also the fraction 0.2 can be converted into the appropriate unit (that is seconds) as follows;

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Answer:

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Step-by-step explanation:

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Hence, the system is called an Inconsistent system.

Also, note that it can be seen easily from the equations are parallel without the help of a graph.

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