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3 years ago

The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph?

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

Answer:

The radius is 2 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. Its A

Step-by-step explanation:

You might be interested in

Evaluate the following expression using the values given:

Free_Kalibri [48]

x^3 − 2y^2 − 3x^3 + z^4

Plug in 3 for x, 5 for y, and -3 for z (given)

(3)^3 -2(5^2) - 3(3^3) + (-3)^4

Simplify

(3)^3 = 3 x 3 x 3 = 27

-2(5^2) = -2 x 25 = -50

-3(3^3) = -3 x 27 = -81

(-3)^4 = -3 x -3 x -3 x -3 = 9 x 9 = 81

Combine all the terms

27 + (-50) - 81 + 81

27 - 50 - 81 + 81

-23 + 0

-23

-23, or (C) is your answer

hope this helps

7 0

4 years ago

you want to rent a limo for a trip to the city. The lime costs $700 for the night, and $0.15 per mile. You have $750 to spend. W

dusya [7]

M is the miles you can drive

The equation will be

$700 + 0.15m \leq 750\\0.15m \leq50\\m\ \leq \ 333.33$

The limo can travel at least 333 miles.

8 0

3 years ago

What is the slope of a line that is perpendicular to the line<br> y = 2x – 6?

Zolol [24]

Answer:

The slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Step 1:

Finding the slope of the given equation

The given equation is

$y = 2x - 6$

comparing with the slope-intercept form of the line equation

The slope of the equation is: m = 2

Step 2:

Determining the slope of the perpendicular line

In Mathematics, a line perpendicular to another line has a slope that is the negative reciprocal of the slope of the other line.

As the slope of the equation is: m = 2

Therefore, the slope of the new perpendicular line:

$-\frac{1}{m}=-\frac{1}{2}$

Hence, the slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

Important Tip:

The product of the slopes of perpendicular lines is -1.

<u>Verification:</u>

The slope of the given line:

$m_1=2$

The slope of the perpendicular line:

$m_2=-\frac{1}{2}\:\:\:\:$

The product of the slopes is:

$\:m_1\times \:m_2\:=2\times -\frac{1}{2}\:\:=-1$

As the product of the slopes of perpendicular lines is -1, therefore, the lines are perpendicular.

Thus, the slope of a line that is perpendicular to the line y = 2x – 6 is -1/2.

7 0

3 years ago

Emily measures a prize wheel at a carnival and calculates that it has an area of 3.14 square feet. What is the prize wheel's cir

Marizza181 [45]

The circumference of wheel is 6.28 feet.

Step-by-step explanation:

Given,

Area of prize wheel = 3.14 square feet

Area = πr²

$3.14 = 3.14(r)^2$

Dividing both sides by 3.14

$\frac{3.14}{3.14} = \frac{3.14(r)^2}{3.14}\\1=r^2\\r^2=1\\r=1$

Circumference = 2πr

Circumference of prize wheel = $2*3.14*1\\$

Circumference of prize wheel = 6.28 feet

The circumference of wheel is 6.28 feet.

Keywords: area, circumference

Learn more about circumference at:

#LearnwithBrainly

5 0

3 years ago

80 book to 64 books what is the percentage of change

baherus [9]

20% percent decrease; 64-80= -16. -16÷80= -0.2×100 =20%

7 0

4 years ago