Which graph represents the equation y= 2x

An arc is intercepted by a central angle of 3π2 radians on a circle with a radius of 18 centimeters. What is the exact length of

bogdanovich [222]

Answer:

The length of the arc is $27\pi \ cm$

Step-by-step explanation:

step 1

Find the circumference

we know that

The length of a complete circle is equal to the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ cm$

substitute

$C=2\pi (18)$

$C=36\pi\ cm$

step 2

we know that

A central angle of $2\pi$ radians subtends the circumference of $36\pi\ cm$

so

by proportion

Find the length of the arc by a central angle of $\frac{3\pi }{2}$ radians

$\frac{36\pi }{2\pi}\frac{cm}{radians}=\frac{x}{(3\pi/2)}\frac{cm}{radians} \\ \\x=18*(3\pi/2)\\ \\x=27\pi \ cm$

6 0

3 years ago

Compare the two functions to see which has a greater rate of change. Function 1

AleksAgata [21]

Function 2 has greater rate of change

Step-by-step explanation:

In order to find the rate of change we have to covert the given linear functions in slope-intercept form

Function 1:

$-2x+5y = 10$

Adding 2x on both sides

$-2x+5y+2x = 2x+10\\5y = 2x+10$

Dividing both sides by 5

$\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2$

Let m1 be rate of change of function 1:

$m_1 = \frac{2}{5}$

Function 2:

$-6x+3y = 18$

Adding 6x on both sides

$-6x+3y+6x = 6x+18\\3y = 6x+18$

Dividing both sides by 3

$\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6$

Let m2 be the slope of function 2

$m_2 = 2$

As we can see that

$m_2>m_1$

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

The basketball court in the park is a rectangle. Two of the sides are 84 feet long, and the other two sides are 50 feet long. Wh

Mekhanik [1.2K]

The perimeter of a polygon (rectangle is a polygon) is the length of the line that forms it. This is, it is the sum of the length of the sides. Given that a rectangle has two pairs of equal sides the perimeter is 2 times one length plus 2 times the other length => 2*84 ft + 2*50 ft = 168 ft + 100 ft = 268 ft. Answer option D. 268 feet.

7 0

3 years ago

Read 2 more answers

Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Please!

kenny6666 [7]

Answer:it’s equation d

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

)) Evaluate (-8)(7) (4)(-2) (A) 7 (B) 1/2 (C) -1/2 (D) -7

vagabundo [1.1K]