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3 years ago

The sector of a circle is shown below. It has a radius of 10 centimeters and a central

Mathematics

1 answer:

disa [49]3 years ago

5 0

Answer:

1) 8.9 cm

2) 44.5 cm^2

Step-by-step explanation:

a) we want to calculate the length of the arc

Mathematically, we use the formula for the length of an arc

That will be ;

theta/360 * 2 * pi * r

theta = central angle = 51

r is radius = 10 cm

so we have ;

51/360 * 2 * 22/7 * 10 = 8.9 cm

2) The area of the sector is;

theta/360 * pi * r^2

51/360 * 22/7 * 10^2

= 44.5 cm^2

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Answer:

6 Meters long

Step-by-step explanation:

3+3=6

12-6=6

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3 years ago

The kinetic energy of a moving object, E joules, is directly proportional to the square

Mariulka [41]

Answer:

1/4

Step-by-step explanation:

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3 years ago

A football is about how long?

Amanda [17]

Answer:

"Big Game's competitive footballs are the exact dimensions set down by the NCAA – approximately 10.5 to 11.5 inches in length, with a circumference of roughly 28 inches on the long side of the ball and 21 inches on the short side."

Step-by-step explanation:

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6 0

3 years ago

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 79 minutes

bagirrra123 [75]

Answer: a) 0.0088

b) 0.2997

c) 5

Step-by-step explanation:

Given : Mean : $\mu = 79$ minutes

Standard deviation : $\sigma = 8$ minutes

The formula for z-score :

$z=\dfrac{x-\mu}{\sigma}$

a) For x = 60 minutes

$z=\dfrac{60-79}{8}=-2.375$

The p-value = $P(z\leq-2.375)=0.0087745\approx0.0088$

b) For x = 75 minutes

$z=\dfrac{75-79}{8}=-0.5$

The p-value = $P(60$

$=P(-0.5)-P(-2.375)=0.3085-0.0088=0.2997$

c) For x = 90 minutes

$z=\dfrac{90-79}{8}=1.375$

The p-value = $P(z>1.375)=1-P(z$

$=1-0.9154342=0.0845658$

If the number of students in the class = 60 .

Then , the number of students will be unable to complete the exam in the allotted time = $0.0845658\times60=5.073948\approx5$

7 0

2 years ago

HELP PLEASE!!!!!!!! QUESTION IS ON IMAGE

galben [10]

Answer:

30 ft

Step-by-step explanation:

The first rectangle is 4 x 2 = 8

The second rectangle we can find the missing side length by subtracting the four by two and add two to the second rectangle. 6 x 2 = 12

The last rectangle is 5 x 2 = 10

8 + 12 + 10 = 30

7 0

3 years ago