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Ronch [10]
3 years ago
15

2. The radius of a circle is 7cms. The angle subtended by an arc of the circle at centre is 45º. Find the area of sector.​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

19.2cm²

Step-by-step explanation:

Given parameters:

Radius of the circle  = 7cm

Angle subtended by the arc  = 45°

Unknown:

Area of the sector = ?

Solution:

To find the area of the sector, use the expression below;

     Area of sector = \frac{Angle of the arc}{360} x \pi r^{2}

where r is the radius ;

 Insert the parameters and solve;

       Area of sector = \frac{45}{360} x \pi x 7²

       Area of sector = 19.2cm²

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5 3/4 -4 1/10
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= 33/20
= (20+13)/20
= 20/20+ 13/20
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The final answer is 1 13/20~
7 0
3 years ago
Select the most likely answer for the coefficient of linear correlation for the following two variables: x = the number of hours
tiny-mole [99]

Answer:

Option b) r = 0.70      

Step-by-step explanation:

We are given the following in he question:

Variables:

x = the number of hours spent studying for a test

y = the number of points earned on the test

  • Correlation is a technique that help us to find or define a relationship between two variables.  
  • A positive correlation means that an increase in one quantity leads to an increase in another quantity
  • A negative correlation means with increase in one quantity the other quantity decreases.
  • +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
  • Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
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As the number of hours increases, the number of points earned on the test increases. Thus, the two variables are positively correlated.

Thus, the coefficient correlation between two variables can be given by r = 0.70, that shows a moderate positive correlation.

Option b) r = 0.70

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4 years ago
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Answer:

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Step-by-step explanation:

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Answer:  7a^2+2a+7

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=9a2+7a+8+−2a2+−5a+−1

Combine Like Terms:

=9a2+7a+8+−2a2+−5a+−1

=(9a2+−2a2)+(7a+−5a)+(8+−1)

=7a2+2a+7

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