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olasank [31]
3 years ago
6

Find the area of this shape

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

171.06 cm²

Step-by-step explanation:

<u>First let us find the area of the circle</u>

Area = π r²

        =  π × 8 × 8

        =  π × 64

        = 201.06 cm²

<u>Now let us find the area of parallelogram</u>

Area = Base × Height

        = 6 cm × 5 cm

        = 30 cm²

<u>And now we have to find the area of the shape when the parallelogram is cut from it</u>

<em>For that, you have to subtract the area of the parallelogram from the area of the circle.</em>

Let us solve now.

Area of the shape = Area of the circle - Area of the parallelogram

                               =  201.06 cm² - 30 cm²

                               =  171.06 cm²

<u></u>

<u></u>

Hope this helps you :-)

Let me know if you have any other questions :-)

Have a nice day !!

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Find the median, first quartile, third quartile, and the interquartile of the data set.
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Answer:

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3 0
4 years ago
Last year, sales at Company X were 10% greater in February than in January, 15% less in March than in Feb, 20% greater in April
horsena [70]

Answer:

May

Step-by-step explanation:

Let x be the sales in January,

∵ Sales were 10% greater in February than in January,

So, the sales in February = (100 +10)% of x

= 110% of x

= \frac{110x}{100}

= 1.1x

∵  it is 15% less in March than in Feb,

Sales in march = (100-15)% sales in February

= 85% of 1.1x

= 0.935x

∵ It is 20% greater in April than in March,

Sales in April = (100+20)% of sales in march

= 120% of 0.935x

= 1.122x,

∵ It is 10% less in May than in April

Sales in May = (100-10)% of sales in march

= 90% of 1.122x,

= 1.0098x,

∵ It is 5% greater in June than in May

Sales in June = (100+5)% of sales in march

= 105% of 1.0098x,

= 1.5147x

∵ 1.0098x is much closure to x than 1.1x, 0.935x, 1.122x and 1.5147x

Hence, the sales in May is closest to sales in January.

6 0
4 years ago
If a total amount is 5 7/8 and 6 people need to be fed, how much is a serving size?
PolarNik [594]

<em>Answer:</em>

47/48

<em>Explanation:</em>

Since 5 7/8 is so close to 6, it is easier to work this problem by considering the difference.

The serving size is 1/6 of the total amount, so you want to find ...

... (5 7/8) × (1/6)

Following the observation above, we can compute it as ...

... (6 - 1/8) × (1/6) = (6/6) - (1/8)×(1/6)

... = 1 - 1/48

... = <em>47/48</em>

5 0
3 years ago
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