MATHEMATICS HIGH SCHOOL

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1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.​

Answers

Answer 1
Answer:

Answer:  radius = 5.83 cm     height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

C=2\pi r\bigg((\theta)/(360^o)\bigg)\n\n\nC=2\pi(10)\bigg((210^o)/(360^o)\bigg)\n\n\nC=(35)/(3)\pi

The circumference of the the cone is (35)/(3)\pi .  We can use this to find the radius .

C=2\pi r\n\n(35)/(3)\pi=2\pi r\n\n\n(35\pi)/(3\cdot 2\pi)=r\n\n\n(35)/(6)=r\n\n\n5.83=r

When you fold the 210° section into a cone, the slant height is the original radius of 10.  We can use the radius and slant height of the cone to form a right triangle with the height.  Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

(35)/(6)^2\ +\ h^2=10^2\n\n\n.\qquad \quad h^2=10^2-\bigg((35)/(6)\bigg)^2\n\n.\qquad \quad h=\sqrt{(6^2(10)^2-35^2)/(6^2)}\n\n\n.\qquad \quad h=\sqrt{(2375)/(36)}\n\n\n.\qquad \quad h=8.12

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Answers

The distribution will be skewed to the positive side, the correct option is B.

What is mean?

Mean is the average of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.

The data of the comic strips written is

{1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7}

Mean = 54/16

Mean = 3.375

Median = 3

When 8 is added to the data

Mean = 3.64

Median = 3

The Mean > Median, so the distribution will be skewed to the positive side.

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The distribution will be skewed to the positive side because the mean is greater than the median.
Mean: 3.7
Median: 3

Answer: B

Find decimal notation.
0.6%=

Answers

you obtain:  0.6%= 0.6/100=0.006

Answer:

0.006

Step-by-step explanation:

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Answers

The correct answer is:

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Explanation:

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I think the correct answer from the choices listed above is option C. Credit cards and charge cards differ in many ways. One of which is the method of payment where you have to pay interest on credit cards but not on charge cards. Hope this answers the question. 

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answer:

1/6 joo welcome on ed 2020

Step-by-step explanation:
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