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Lostsunrise [7]
3 years ago
12

A circle with radius 10 has a sector with a central angle of 2/5 pi radians what is the area of the sector in terms of pi

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

  20π square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius and θ is the central angle in radians.

Filling in your numbers, we find the area to be ...

  A = (1/2)(10²)(2/5π) = 20π

The area of the sector is 20π square units.

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The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grad
Leya [2.2K]
<h3><u>Answer with explanation:</u></h3>

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. Q_1 = 14

Median or second quartile i.e. Q_2 = 18

Third quartile or upper quartile i.e. Q_3 =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. Q_1 = 26

Median or second quartile i.e. Q_2 = 30

Third quartile or upper quartile i.e. Q_3 = 34

and maximum value = 38

a)

The overlap of the two sets of data is as follows.

  • The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
  • And the maximum value of seventh grade is same as the lower quartile of eighth grade.

b)

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e. Q_3-Q_1

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

c)

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

d)

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

8\times n=12\\\\n=\dfrac{12}{8}\\\\n=\dfrac{3}{2}\\\\n=1.5

Hence, the number is : 1.5

6 0
3 years ago
Calculate the price with VAT of the following case.
AlekseyPX

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

8 0
2 years ago
–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)​
Paladinen [302]
Did you mean -21(-2-5)+(-14)+6(8-4.3) ?
If that, the answer is 155.2:)) im sorry if im wrong:((
4 0
2 years ago
Tell whether the ratios form a proportion.<br> 7 /16<br> 2 /6<br><br> yes<br> no
svlad2 [7]
No they are have a great day
8 0
3 years ago
Please pretty please help me with all 6, I will mark smartest correct answer worth lots of point!!! :)) love youu
abruzzese [7]
C,d,a,b,b,a

Hope this helps!


6 0
2 years ago
Read 2 more answers
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