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2 years ago

Describe the relationship between pi and circles.

Mathematics

1 answer:

steposvetlana [31]2 years ago

6 0

Answer:

The circumference (C) of a circle is found by the equation C = 2* $\pi$ *radius

There is a second relationship between $\pi$ and circles. That of the area (A) of the circle which is found by the formula A = $\pi*radius^{2}$

Step-by-step explanation:

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Factor each polynomial. <br> 3x^3+6x^2-4x-8

Leona [35]

3x^2+6x^2-4x-8 = 3x^2(x + 2) - 2(x + 2) = (x + 2)( 3x^2 - 2) = 3(x+2)(x - $\sqrt{6} /3)$ )(x + $\sqrt{6} /3)$ )

4 0

3 years ago

Read 2 more answers

Find an equation of the line that satisfies the given conditions.

8090 [49]

Answer:

$x=8$

Step-by-step explanation:

Given:

The equation of the given line is $y=9$

A point on the unknown line is (8, 5).

The unknown line is perpendicular to the line $y=9$ .

A line of the form $y=a$ where 'a' is a constant is a line parallel to the x axis. The line has a constant value for 'y' irrespective of the value of 'x'. The slope of such lines are equal to 0. So, slope of the known line is 0.

Now, when two lines are perpendicular, the product of their slopes is -1.

Let the slope of the unknown line be 'm', then:

$m\times 0 =-1\\m=-\frac{-1}{0}=$ undefined.

Therefore, the slope of the unknown line is undefined. A line parallel to y axis has undefined slope. So, the equation of the unknown line is of the form:

$x=b$ where, 'b' is a constant and is equal to the abscissa (x value) of the line.

As per question, (8, 5) lies on this line. Therefore, the value of 'x' is 8.

So, the equation of the unknown line is $x=8$

8 0

4 years ago

Read 2 more answers

Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.

Natali5045456 [20]

The possible length of segment AB is 27 < AB < 81

From the question, we have

In triangle ABC

AC = 27

CB = 54

Using Pythagoras theorem,

AC² = AB² + CB²

54² = AB² + 27²

AB = 47

The possible length of segment AB is 27 < AB < 81

Multiplication:

To determine the sum of two or more numbers, mathematicians multiply the numbers. It is a basic mathematical procedure that is widely used in daily life. Multiplication is used when we need to mix groups of like sizes. Multiplication is a representation of the underlying idea of adding the same number repeatedly. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

To learn more about multiplication visit: brainly.com/question/5992872

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3 0

1 year ago

Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute. When Anzelm goes jogging, he usuall

kow [346]

Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.

he usually plans to stop and rest for about 5 minutes.

m represents the total minutes.

12 calories per minute.

for m minutes the calories burn is 12m

He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes

So expression becomes 12(m-5)

He wants to burn 540 calories. So we set the calories = 540

The equation becomes ,

12(m-5) = 540

Now we solve for m , total number of minutes

12(m-5) = 540(divide by 12 on both sides)

m - 5 = 45

m = 50 ( add 5 on both sides)

Anzelm should plan to be out jogging for 50 minutes

4 0

4 years ago

Read 2 more answers

Mrs. Robinson bought a novel at the bookstore on sale for 20% off at regular price of 2909 mr. Chang what the same novel the dif

GalinKa [24]

Please don't run your sentences together. Write just one sentence per line, or separate them from one another with the semicolon (;).

<span>Mrs. Robinson bought a novel at the bookstore on sale for 20% off at regular price of 2909

Mr. Chang what (??? )the same novel

The different books are 40% of its regular price of $25

Which person receive the better discount?

First you say "the same novel" and then you say "the different books."

Kindly rework this problem and post it again with additions and corrections.

</span>

5 0

4 years ago