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3 years ago

Suppose the radius of a circle is 2. What is its circumference?

Mathematics

1 answer:

Scilla [17]3 years ago

4 0

Answer:

12.57

Step-by-step explanation:

The formula to solve the circumference of a circle is:

2 x PI x R (radius)

=> 2 x PI x 2

=> 4 PI or 12.57

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Akimi4 [234]

1 Simplify \frac{4}{15}x

x to \frac{4x}{15}

4x \frac{4x}{15}=1.44

4x =1.44

2 Multiply both sides by 1515.

4x=1.44\times 15

4x=1.44×15

3 Simplify 1.44\times 151.44×15 to 21.621.6.

4x=21.6

4 Divide both sides by 44.

x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

6 0

2 years ago

Read 2 more answers

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0

2 years ago

Add [ –6 –2 2] + [–3 2 1].

skad [1K]

The answer is... A hope this helps

3 0

3 years ago

Algebra Question ( Matrices and Determinants ) 20 point

blagie [28]

The determinant of a 2 x 2 matrix can be calculated as:
Product of non-diagonal elements subtracted from product of diagonal elements.

The diagonal elements in given matrix are 12 and 2. The non-diagonal elements are -6 and 0.

So,

Determinant G = 12(2) - (-6)(0)

Determinant G = 24 - 0 = 24

So, option B gives the correct answer

6 0

3 years ago

Read 2 more answers

When is it helpful to convert from point-slope to slope-intercept form?

Lena [83]

Answer:

Point slope form is to find the coordinates of the point on the line, whereas slope intercept gives you the slope plus y-intercept

Step-by-step explanation:

5 0

3 years ago