Consider the polar curve r = 4sin(2θ). What is the length of each petal, and how many petals does the graph have?

a.The length of each petal is 2, and the number of petals is 2.

b.The length of each petal is 2, and the number of petals is 4.

c.The length of each petal is 4, and the number of petals is 2.

d.The length of each petal is 4, and the number of petals is 4.

Answers

Answer 1

Answer:

The length of each pearl is a given r= a cos(n 0) the answer is 4 and number of petals is 4 (I think )

Step-by-step explanation:

Answer 2

The length of the petal and number of petals of the rose curve is required.

The correct option is d.

The given curve is

[tex]r=4\sin(2\theta)[/tex]

The general equation of a rose curve is

[tex]r=a\sin(n\theta)[/tex]

where

a = Length of petal

n = Number of petals if [tex]n[/tex] is odd

and [tex]2n[/tex] if [tex]n[/tex] is even.

So, here

[tex]a=4[/tex]

[tex]n=2n=2\times 2=4[/tex]

So, length of each petal is 4 and the number of petals is 4.

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Related Questions

work out the value of x

will give brainliest

Answers

Answer:

x = 35

Step-by-step explanation:

we know that all triangles add up to 180

you first need to make an expression in which the angles equal 180

105 + 140 + x = 180

         145 + x = 180

subtract 145 from both sides

                  x = 35

I’ll give brainliest to first person to answer!!

Answers

Answer:

7.05

Step-by-step explanation:

Answer: The answer is 7.05m

explanation: Joshua had a piece of rope that was 7.14 meters long he cut off 0.09 meter to practice making knots what was the length of the rope after the cut

What is 75 percert 225
O 30
O 5725
O 75
O 162.75

Answers

Answer:

168.75

Step-by-step explanation:

75% × 225= 75/100 × 225

= 168.75

I'm sorry, I actually got 168.75 instead of 162.75. Maybe I'm mistaken. Please do check

write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
3 mi to 2.5 mi

Answers

3/3...............................

Use the Discriminant to find the number and type of solutions to x^2 + 6x -5 = 4x^2
A 2 Real Solutions
B 1 Real Solution
C Real Solutions, 2 Imaginary Solutions
D 3 Solution

Answers

Answer:

The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

Step-by-step explanation:

Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]

The discriminant is: [tex]b^2-4ac[/tex]

We have a = -3, b=6 and c=-5

Putting values and finding discriminant

[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]

So, we get discriminant = -24

if discriminant  < 0 the solution will have two non-real imaginary solutions.

In our case discriminant  < 0 i,e discriminant  = -24

So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

All edges of a cube are expanding at a rate of 2 centimeters per second.
(a) How fast is the volume changing when each edge is 2 centimeter(s)?
(b) How fast is the volume changing when each edge is 14 centimeter(s)?​

Answers

Answer:

Part a → dv/dt = 24 cm³/per secondPart b →  dv/dt = 1176 cm³/per second

Step-by-step explanation:

As all edges of a cube are expanding at a rate of 2 centimeters per second.

i.e ds/dt = 2 cm/s

The formula of volume of cube: V = s³

Differentiating the volume:

dv/dt = 3s²

Write ds/dt following derivative of volume

dv/dt = 3s² ds/dt

plug in the value: ds/dt = 2 cm/s

dv/dt = (3s²) (2)

dv/dt = 6s²

Given the edge is 2cm.

so plug in the value: s=2

dv/dt = 6s²

          = 6(2)²=6(4)=24 cm³/per second

SIMILARLY,

When the edge is 14cm

dv/dt = 6s²

plug in the value: s=14

dv/dt = 6s²

         = 6(14)²=6(196)=1176 cm³/per second

Thus,

Part a → dv/dt = 24 cm³/per secondPart b →  dv/dt = 1176 cm³/per second

The volume will be:

(a) 24 cm³

(b) 1176 cm³

Given:

Expanding rate,

2 cm/sec

Let,

The edge of a cube be "x cm".

(a)

When,

x = 2 cm

then,

→ [tex]\frac{dx}{dt} = 2 \ cm/sec[/tex]

Let,

The volume of cube be "V"

→ [tex]V = x^3[/tex]

→ [tex]\frac{dV}{dt} = 3x^2 \frac{dx}{dt}[/tex]

        [tex]= 3\times 2^2\times 2[/tex]

        [tex]= 3\times 4\times 2[/tex]

        [tex]= 24 \ cm^3[/tex]

(b)

When,

x = 14 cm

then,

→ [tex]\frac{dx}{dt} = 2 \ cm/sec[/tex]

Let,

The volume of cube be "V"

→ [tex]V = x^3[/tex]

→ [tex]\frac{dV}{dt} = 3x^2 \frac{dx}{dt}[/tex]

        [tex]=3\times 14^2\times 2[/tex]

        [tex]= 1176 \ cm^3[/tex]

Thus the above answer is correct.

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Help me PLEASEEEE I’m on a time limit

Answers

Answer:

C. 20/52

Step-by-step explanation:

C. 20/52
I think it’s that

can anyone solve 84=4(1 - 4g) step by step?

Answers

Answer:

g= -5

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    84-(4*(1-4*g))=0

 84 -  4 • (1 - 4g)  = 0

3.1     Pull out like factors :

  16g + 80  =   16 • (g + 5)

16 • (g + 5)  = 0

4.1      Solve :    16   =  0

This equation has no solution.

A a non-zero constant never equals zero.

4.2      Solve  :    g+5 = 0  

Subtract  5  from both sides of the equation :  

                     g = -5

I hope it helps you and if you want you can give me a brainly crown only if you want

Answer:

g = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

84 = 4(1 - 4g)

Step 2: Solve for g

Distribute 4:                    84 = 4 - 16gIsolate g term:                 80 = -16gIsolate g:                         -5 = gRewrite:                           g = -5

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Substitute in g:                    84 = 4(1 - 4(-5))Multiply:                               84 = 4(1 + 20)Add:                                     84 = 4(21)Multiply:                               84 = 84

Here we see that 84 does indeed equal 84.

∴ g = -5 is a solution of the equation.

Consider 8x2 - 48x = -104.
Write the equation so that a = 1: x2 + __ = __

Complete the square:
x² - 6x + __ -13 + __ = __

Factor the trinomial and simplify:
(x + __ )² = __

Use the square root property of equality to solve (x-3)² = -4.
The solutions are ______.

Answers

Answer:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Step-by-step explanation:

Quadratic Equation Solving

We have the equation:

[tex]8x^2-48x=-104[/tex]

Divide by 8:

[tex]x^2-6x=-13[/tex]

Now complete the squares so the left side is a perfect square of a binomial:

[tex]x^2-6x+9=-13+9=-4[/tex]

Factoring the perfect square:

[tex](x-3)^2=-4[/tex]

Taking the square root:

[tex]x-3=\sqrt{-4}[/tex]

The square root of a negative number is an imaginary number:

[tex]x-3=\pm 2\mathbf{i}[/tex]

Solving for x:

[tex]x=3\pm 2\mathbf{i}[/tex]

The solutions are:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Answer:

Keep it simple: got this from above answer...

Answer:

Here's just the answers without all the work for easier reading.  

Step-by-step explanation:

First problem answer: x2 + -6 x = -13

Second problem answer: x2 – 6x + 9 = –13 + 9

Third problem answer: (x + -3)² = -4

Fourth problem answer: 3 + 2i

Step-by-step explanation:

URGENT! PLEASE HELP

The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely​ melted, this ice would release about 2.1 million cubic kilometers of​ water, which would spread out over​ Earth's approximate million square kilometers of ocean surface. How much would the sea level​ rise?

Answers

Answer:

Answer: 0.005523 kilometer = 5.52 meter In this case, you are asked how much the water height and given the water volume ( 1.9 million cubic kilometers) and the earth area (344milion square kilometers). To answer this question you just need to divide the volume with the area.

Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent
one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?
(0.20 - 10) dollars
(0.20 - 50) dollars
(0.160 + 10) dollars
(0.160 - 10) dollars

Answers

Answer:

(0.16d - 10) dollars

Step-by-step explanation:

"Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father."

Start with d dollars.

He put 20% of d dollars in the bank. 20% of d is the same as 0.2d.

Now he has d - 0.2d = 0.8d

He paid his father $50.

Now he has 0.8d - 50

"He spent  one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?"

He spent 1/5 of 0.8d - 50 on a video game, so he spent on the video game:

1/5 * (0.8d - 50) = 0.16d - 10

Answer: 0.16d - 10 dollars

(You forgot the "d" in the answers."

(0.16d - 10) dollars

have an nice day

please help me on this

Answers

Answer:

32.64 < 3.264

7.489 < 7.498

0.350 > 0.305

9.164  <  9.614

Step-by-step explanation:

The first digit to the right of decimal point is in the tenths place. The second digit to the right of decimal point is in the hundredths place. The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

Brainlest if you anwser correctly!, and 5 stars with a thanks :)

Answers

Answer: can u please clear the screen more? I will answer it just clear the screen please I can’t see it

Step-by-step explanation:

exponential decay ; .92%

HELP PLEASE



WHAT IS THE SOLUTION

Answers

Answer:

the solution is going to be (-6, 2)

Can you help me with explanation will give brainiest

Answers

Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

Which of the following expressions have a value of 180 when b = 4?
Select all that apply.
A. 87b−179+957÷87
B. 33b12
C. b2+120
D. 51b−24
E. 11b+187−2,756÷13

Answers

Answer: The answer is A and D

Step-by-step explanation: If you go through all the problems, just replace "b" with "(4)" into a calculator. For A and D, they both equaled 180.

(7x2 - 5x + 6) + (-3x2 + 5x - 14) adding polynomials

Answers

Answer:

4x² - 8

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

(7x² - 5x + 6) + (-3x² + 5x - 14)

Step 2: Simplify

Combine like terms (x²):                    4x² - 5x + 6 + 5x - 14Combine like terms (x):                      4x² + 6 - 14Combine like terms (Z):                     4x² - 8

how to simplify ( 2/4)^2

Answers

Answer:

2/4x2/4=0.25  or 1/4

Step-by-step explanation:

3y=6x-1 what would the slope of my line be?

Answers

Answer: 2
Explanation: I solver it and go to 2 so the slope is 2 pretty straight forward

Solve for x.
4(1 - x) + 2 x = -3(x + 1)

Answers

the answer is. x= -7

The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find Bob’s weight.

Answers

Answer:

B - E = B + E = -240

Step-by-step explanation:

can anyone please help me ASAP?I have included a picture.

Answers

Answer:

[tex] Formula\: v =\frac{s}{t} \\\\

v = 60\: mph[/tex]

Step-by-step explanation:

Formula:

[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]

Answer:

see explanation

Step-by-step explanation:

The formula for v is

v = [tex]\frac{s}{t}[/tex]

When t = 3 and s = 180 , then

v = [tex]\frac{180}{3}[/tex] = 60 mph

What is the square root of 166?

Answers

Answer:

12.8840987267

Step-by-step explanation:

Answer:

[tex]\sqrt{166}[/tex] = 12.8

Step-by-step explanation:

Solve the equation without graphing
21 = 256

Answers

Answer:

no solution

Step-by-step explanation:

21 does not equal 256

Which answer choice do I choose?

Answers

I also think as the other person said

Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/3 inch= 1 foot. In the drawing, the bathroom measure 3 inches by 3 1/3 inches. Amy is purchasing squares tiles that measure 1/3 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for bathroom floor

Answers

Answer:

$2,430

Step-by-step explanation:

Scale of the drawing = ⅓ in. to 1 ft

Measurement of the bathroom on paper = 3 in. by 3⅓ in.

Actual measurement of the bathroom:

3*3 = 9 ft

3⅓ * 3 = 10 ft

Area of the bathroom = 9*10 = 90 ft²

Let's find how many square tiles would cover 90 ft².

The side length of 1 tile is said to be ⅓ ft.

Therefore, the area of 1 tile would be ⅓*⅓ = ⅑ ft².

Number of tiles that would cover 90 ft² would be:

90/⅑ = 90*9

= 810 tiles

If 1 tile cost $3.00, therefore 810 tiles would cost:

810 * 3 = $2,430.

Step-by-step explanation:

The measure of an angle is 47°. What is the measure of its complementary angle?

Answers

Answer: 90

Step-by-step explanation:

90 degrees. x=90-47=43 degrees.

Step-by-step explanation: We can find the measure of its complement

by taking 90 minus the measure of the original angle.

So we have 90 - 47 which is 43.

So the measure of its complement is 43°.

Which equation describes the line with a slope of 5 and a y-intercept of 4.

Answers

Answer:

The line should look like: y=5x+4

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is your slope and b is your y-intercept.

Therefore, if we plug in the given values, our equation should look like the following:

y=5x+4

Answer:

y=5x+4

y=mx+b

Is 6,7,8 a Pythagorean triples?

Answers

Answer: No

Step-by-step explanation: 6^2+7^2=85

8^2=64

the answer to this question is no

Divide

(2xy + 10) by 2
PLS FAST

Answers

Answer:

xy+5

Step-by-step explanation:

Answer: xy + 5

Work: So, we are going to divide everything by two. So, in the current equation, it divides everything by two, including the current two, which cancels it. So, after all the division, we get the current answer; xy + 5

I hope this helps, and Happy Holidays! :)

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