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3 years ago

In the diagram of O, m∠JOK = 60° and OJ = 6 in. What is the exact area of the shaded region?

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer: 6π

<u>Step-by-step explanation:</u>

Area of a circle is π r².

Area of a section of a circle is π r² × the section of the circle.

$A=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)$

Given: r = 6, Ф = 60°

$A=\pi (6)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =\pi (6)^2\bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =6\pi$

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if you start from 0, how many steps do you have to take to get to -3. what does the number of steps represent

Leviafan [203]

Answer:

3 steps

Step-by-step explanation:

FIrst of all, if you think about it, we can just say -3 as 3 ( even though they are not equal, were just counting steps.)

On a number line, negative numbers are on the left of 0 and positive on the right of 0.

So, lets say the middle number is 0 on our number line. -3 is 3 steps to the left. We take 1 step to negative 1, another step to -2, and then a 3rd and final step to -3.

The steps represent how far the number is from 0. FIr example, we have to add 3 to -3 to get to 0, like how we add 7 to 0 to get 7!

Hope this helps!

5 0

3 years ago

Read 2 more answers

The Oriental Pearl Tower in Shanghai, China, is a 468-meter high tower with 11 spheres along the tower. Two spheres are larger t

Alexeev081 [22]

The approximate total volume of the two largest spheres on the Oriental Pearl Tower 113105.45 m³.

<h3 /><h3>How to find the volume of a sphere</h3>

The volume of the sphere is calculated as follows:

volume = 4 / 3 πr³

where

r = radius

The lower two larger spheres in the tower has a radius of 25 meters and 22.5 meters. Therefore, the total volume of the two largest sphere is as follows:

volume of lower sphere = 4 / 3 × 3.14 × 25³

volume of lower sphere = 196250 / 3

volume of lower sphere = 65416.6666667

volume of lower sphere = 65416.7 m³

volume of higher sphere = 4 / 3 × 3.14 × 22.5³

volume of higher sphere = 143066.25 / 3

volume of higher sphere = 47688.75

volume of higher sphere = 47688.8 m³

The approximate total volume = 65416.7 + 47688.8 = 113105.45 m³

learn more on sphere here: brainly.com/question/13833611

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2 years ago

he ______ class limit is the smallest value within the class and the ______ class limit is the largest value within the class.

loris [4]

Answer:

Lower and Upper Class Limit

Step-by-step explanation:

The Lower class limit is the smallest value within the class and the Upper class limit is the largest value within the class.

In a grouped data, data are distributed into classes with a specific class size/interval. e.g. The Class 0-4 has a Class Size of 5. The Lower class limit in this case is 0 and the Upper Class Limit is 4.

7 0

4 years ago

PLZ HELP NO LINKS PLZ AND DONT STEAL POINTS I WILL REPORT

Umnica [9.8K]

In stander form this would be y= 0.5x with a exponent of 2, -4x +3 so like this:
Y = 0.5x^ - 4x + 3 but the ^ = 2 as an exponent

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3 years ago

The polynomial x3 + 8 is equal to

erastovalidia [21]

Answer:

(x+2)(x2-2x+4).

Step-by-step explanation:

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3 years ago