In a video game, two characters follow paths represented by r = StartRoot 3 EndRoot + 2 cosine (theta) and r = 4 cos(θ), respectively. The characters travel at different speeds and could collide with each other. Which values of θ correspond to possible collision points? Check all that apply.

Answers

Answer 1

The point of collision is θ = π/6.

What are polar equations?

A curve's polar equation is often stated with r as a function of θ and represented in polar coordinates.

The given equations are r = √3 + 2cosθ and r = 4cosθ.

The characters will collide at the intersection of these paths, the intersection of the two equations is given by:

√3 + 2cosθ = 4cosθ

4cosθ - 2cosθ = √3

2cosθ = √3

cosθ = √3/2

θ = cos⁻¹(√3/2)

θ = π/6

Hence, the point of collision is θ = π/6.

Learn more about polar equations:

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Related Questions

Soren is flying a kite on the beach the String forms a 45 angle with the ground if he has let our 16 made of line how high above the ground is the kite

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Answer:

Hope the picture helps

Step-by-step explanation:

(1.028 x 10") + (4.9x109)
Write in scientific notation.

Answers

Answer:

5.4438x10 02

Step-by-step explanation:

when u see this " don't look at it as something to add when your using the calculator just do this (1.028x10)+(4.9x109) don't do this (1.028x10")+(4.9x109) there just trying to trick u, os u can get the wrong answer.

My teacher asked me to round 12,800 to the nearest thousand. I think that the answer is 13,000. Did I round correctly?

Answers

Answer: Yes!

Step-by-step explanation:

You go from the 2 to the 8 in 12800. And sense the 8 is higher you change the 2 to a 3. So it makes 13000.

On another training ride, Jana bikes 15 miles in 50 minutes. Explain how you
could find the number of miles she bikes in 1 hour

Answers

Answer:

18 miles per hour

Step-by-step explanation:

If you divide 15 (miles) into 50 groups (min) you will get Jana's speed per min and then you can multiply that speed by sixty to her the speed per hour.

simplify (-2x)^4
a.) -16x^4
b.) -8x^4
c.) -2x^4
d.) 8x^4
e.) 16x^4

Answers

answer

c.)

Step-by-step explanation:

(-2x)^4 = -2x^4

which is the same as answer c.)

A figure is located entirely in the third quadrant. If it is reflected over the y-axis, what will the signs of the coordinates be?

Answers

Answer:

Step-by-step explanation:

Hello friend!!!

The signs of the coordinates will be ( - , - )

This is because it is located in the third quadrant and the coordinates of any point on the third quadrant are ( - , - )

Hope this helps

plz mark as brainliest!!!!!!!

The signs of the coordinates should be ( - , - )

Signing of the coordinates:

Since we know that there are 4 quadrants. In 1st quadrant, the sign is (+,+). In the 2nd quadrant, the sign is (-,+). The 3rd quadrant, the sign is (-,-), And, the fourth quadrant, the sign is (+,-),

So based on this, the above sign should be considered.

learn more about coordinates here: https://brainly.com/question/13596846

Are Transformations used to create Similar Figures EXPLAIN
Answers:
Sometimes, Never, Always,

Answers

Answer:

sometimes

Step-by-step explanation:

Similar figures can also be a different size, as long as they're the same shape. So both rigid transformations and dilations can create similar figures.

18 less than half a number is 6

Answers

Answer:

18<1/2x=6

Step-by-step explanation:

The equation for the given description is 18 - 0.5x = 6

Calculation of an equation:

Since 18 less than half a number is 6

So here we assume the number be x

Now the equation is

18 - 0.5x = 6

Learn more about number here:https://brainly.com/question/20292718

The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²

Answers

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

a² = 400÷4

a² = 100

a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

= 6 * 10²

= 6* 100

= 600 cm²

Answer:

Step-by-step explanation:

I believe that I did this before.

whats 3 Pounds for $3.99

Answers

Answer

Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars

Step-by-step explanation:

complete the table and then graph the function .

Answers

Answer:

1,2,3,4,5

Step-by-step explanation:

solve the inequality.
-c > -19

Answers

Answer:

The answer is -18 and above (that's negative, basically -17,-16, -15,-14,-13,-12, -11, -10, -9, -8, -7, -6, -5,-4, -3, -2, -1).

What is the slope of the line in the graph?

Answers

Answer:

The slope of the line in the graph is 1.

Step-by-step explanation:

Slope is determined by rise over run. Meaning that the number of units the slope goes up/down divided by the number of units the slope goes to the left/right is the slope. The rise is one, and the run is one. 1 over 1 equals 1.

Answer:

The slope of the line is 1.

Step-by-step explanation:

If you can either use rise over run to dtermine the slope or use the point slope formula. For example, take the two points (0,1) and (1,2) using the point slope formula, you'll get 1 in the end.

What is the theoretical probability of rolling a six on a fair six sided die?

Answers

Answer:

Probability = Number of desired outcomes ÷ Number of possible outcomes So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. Independent probabilities are calculated using: Probability of both = Probability of outcome one × Probability of outcome two

Okay for real, does anyone know 10.8 x 9?

Answers

Answer:

10.8 x9= 97.2

Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how much will the gas cost for her trip?

Answers

Well she would need about 11.5 gallons of gas times 1.89 is $21.73 hope this helps

3x + 4y = 17 Solve for y Explain how to solve the problem please

Answers

Answer:

y = 17/4 - 3/4x

Step-by-step explanation:

[tex]3x + 4y = 17[/tex]

Subtract 3x from both sides.

[tex]4y = 17 - 3x[/tex]

Divide by 4 from both sides to isolate y.

[tex]y = \frac{17 - 3x}{4} [/tex]

2(m+10)=4(m-15) I need the answer to this ASAP

Answers

Answer:

m = -40

Step-by-step explanation:

2m + 20 = 4m - 60

2m = -80

m = -40

Answer:

m = 40

Step-by-step explanation:

Hope that helps and have a great day!

Angles of XYZ and ABC are the blank because the triangle are blank and corresponding angles are blank.

Answers

Answer:

the answer is your teacher just wanted to draw a triangle and get paid for it.

The ratio of boys to girls in Miss Smith’s class is 3 to 5. There are 15 girls in the class. What is the total number of students in Miss Smith’s class?

Answers

Answer:

9 boys

Step-by-step explanation:

15/5

3*3

slove for x in terms of p,m, and g

m=g-px

Answers

Answer:

- (m-g)/p =x

Step-by-step explanation:

subtract g

m-g=-p(x)

divide by -p

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What most accurately describes the effects of tobacco use on the body?

A) Smokers are less likely to get lung cancer than nonsmokers.

B) Smokers Get more nose, throat, and lung infections than nonsmokers.

Answers

Answer:

A i believe

Step-by-step explanation:

Although nicotine is addictive, most of the severe health effects of tobacco use comes from other chemicals. Tobacco smoking can lead to lung cancer, chronic bronchitis, and emphysema. It increases the risk of heart disease, which can lead to stroke or heart attack.People who smoke cigarettes are 15 to 30 times more likely to get lung cancer or die from lung cancer than people who do not smoke. Even smoking a few cigarettes a day or smoking occasionally increases the risk of lung cancer.

The answer here is B, however the problem seems to be kinda obvious?

What is the domain:
What is the range:

Answers

Answer:

Domain: [-4,4]

Range: [-4,6]

Step-by-step explanation:

To domain pertains to the x-coordinates, while the range pertains to the y-coordinates.

Looking at the graph, we can see that the farthest point to the left is (-4,3) and the farthest point to the right is (4,6). Now, we know that the domain is [-4,4].

Looking at the graph, we can see the highest point is (4,6) and the lowest point is (0,-4). Now, we know the range is [-4,6].

Now, we know that the domain is [-4,4] and the range is [-4,6].

HELP ASAP WILL MARK BRAINLIEST
Public Libraries The number of libraries in the United
States from 1980 to 2000 can be modeled by the function
f(x) 5 38.9x 1 8685.8 where x is the number of years
since 1980.
a. Graph the function and identify its domain and range.
b. Find the number of libraries in the United States in 1996.
Explain how you found your answer.
c. When were there 9000 libraries in the United States?
Explain how you found your answer.

Answers

was this helpful??? i tried!

A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for taking the test. Enter a function to describe the test score determined by the number of correct answers. Then, graph the function.

Answers

Answer:

f(x)=10x+30

Step-by-step explanation x=0=30 x= 1=40 x= 2=50 x= 3=60 x=4=70 x= 5=80 x=6=90 x= 7=100

Please hurry!! I will mark brainliest! A student wrote four statements during math class. Which statement contains an error?
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Answer: 2nd one

Step-by-step explanation:

1. (01.01 LC)
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√2, √3. √4. √5.

Answers

Answer:

root 4 is a rational number

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction of two integers, say where q is not zero.

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3x^2 - 5x - 28

Answers

Answer:

(3x+7)(x−4)

Step-by-step explanation:

The gallons of gas varies directly to number hours driving a car. Dylan drove 3 hours on 15 gallons of gas. If he drove for 35 hours, how many gallons of gas is that?

Answers

Answer:

I am unable to solve this problem Sorry

Step-by-step explanation:

Answer:

About 30

Step-by-step explanation:

I Multiply 3 to 35 then subtracted 15

description of inverse mode

Answers

Answer:

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing.

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