An object moves around x + y = 25 (which represents a
circle whose radius is 5 meters) at a constant speed. At time
t = 0 seconds, the object is at (5,0). When t = 1, it is at (4,3). Where is the object when t = 2? When t = 3? when t = n?
What is the object’s speed? At what times does the object return to (5, 0)? To arrive at your answers, what assumptions did you make?

Answers

Answer 1

Answer:

Step-by-step explanation:

There is an error in the question.

x + y = 25 is NOT the equation of a circle.

It should be x^2 + y^2 = 5^2.

Parametric equations for the circle:

x = 5cosθ

y = 5sinθ

After 1 second, the object is at (4,3), so θ=arctan(3/4).

At 2 seconds, θ=2arctan(3/4). The object is at (5cosθ,5sinθ) = (1.4, 4.8).

At 3 seconds, θ=3arctan(3/4). The object is at (-1.76, 4.68).

360°/arctan(3/4) ≈ 9.764

The object returns to (5,0) after 9.764 seconds.


Related Questions

One more
will give brainliest

Answers

Answer:

The answer is 60 degrees

Step-by-step explanation:

There are 115 students in a music club 73 of them are girls what is the ratio of the number of boys and girls

Answers

Answer:

73:42

Step-by-step explanation:

1115-73=42

G : B

73 : 42

help me.....

given condition A+B+C=180/2

prove that:
(sin2A+sin2B+sin2C)/(sin2A+sin2B-sin2C)=cotAcotB​

Answers

Answer:

The answer is in Picture.

Step-by-step explanation:

Hope it is helpful....

Answer:

hope it's helps you have a great day keep smiling be happy stay safe

which number is an integer? 6 4.2 3/4 5 1/2

Answers

Answer:

5, 6

Step-by-step explanation :

Actually all of these numbers are integers, but till your level all you should know is that numbers with decimal points are integers. So from here, it’s 4.2

what is 50% of 70
what is 92% of 19

Answers

Answer:

Step-by-step explanation:

50% of 70=35

92% of 19= 17.48

Write the following numbers in order of size start with the smallest. 0.32 0.4 0.35 0.309

Answers

Answer:

Hey!

0.309<0.32<0.35<0.4

hope this helps you

The numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

What are Decimal Numbers?

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system.

The given number can be arranged from smallest to largest can be arranged as shown below. Therefore, we can write,

0.309 < 0.32 < 0.35 < 0.40

Hence, the numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.

Learn more about Decimal Numbers here:

https://brainly.com/question/4708407

#SPJ2

Can someone help me please

Answers

Answer

43

Step-by-step explanation:

I'm just learning about this help please

794.561 x 10 2​

Answers

Answer:

79456.1

Step-by-step explanation:

is it 794.561 × 10(2)?

5(x + 1)=20
5x+1=20
????? ASAPPPP

Answers

So for this equitation the answer is X=4

Answer:

x=3

Step-by-step explanation:

5(x+1)=20

5x+5=20

-5 -5

5x=15

now just divide 5 from 15 which is 3 so x=3

Please help me. I need how to do the problem too

Answers

Answer: Choice A.  (8, 4)

==========================================================

Explanation:

Because x = 2y, we can replace every copy of x with 2y

Let's do so in the second equation

3x - 4y = 8

3(x) - 4y = 8

3(2y) - 4y = 8 .... x replaced with 2y; now let's isolate y

6y - 4y = 8

2y = 8

y = 8/2 ..... divide both sides by 2

y = 4

Use this y value to find x

x = 2y

x = 2*4

x = 8

So we have x = 8 and y = 4 pair together to get the answer (x,y) = (8, 4) which is choice A.

What is the slope of a line perpendicular to line B?

Answers

10/4 I think
And simplified would be 5/2

Joe has read ​30% of a book. He has 14 more pages to finish. How many pages are there in the​ book?

Answers

Since Joe has read 30% of the book, that means that 14 pages is 70% of the book. That means that two pages equals 10%. Therefore, the book has 20 pages.

70% = 14

so 30% = 6

total pages = 14+6=20


Find the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

7

Step-by-step explanation:

a squared + b squared = c squared

plug it in to get

4 root 2 squared +b squared = 9 squared

(4 root 2)(4 root 2)=32

and 9 squared is 81

so the equation is

32+b squared = 81

subtract 32

b squared = 49

square root both sides

b=7

The length of the  missing side is [tex]3\sqrt{5}[/tex]

Pythagoras theorem

The square of the hypotenuse is equal to the sum of the square of the other two sides

From the given diagram;

[tex]9^2 = (4\sqrt{2} )^2 + x^2[/tex]

Get the unknown side "x"

[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]

Hence the length of the  missing side is [tex]3\sqrt{5}[/tex]

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Can someone help pls

Answers

Answer:

That means the missing side length is 15

Step-by-step explanation:

We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.

Answer:

hi

Step-by-step explanation:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {8}^{2} + {b}^{2} = {17}^{2} \\ {b}^{2} = {17}^{2} - {8}^{2} \\ {b}^{2} = 289 - 64 \\ {b}^{2} = 225 \\ b = \sqrt{225} \\ b = 15[/tex]

hope it helps

Have a nice day

byee

Please answer this. Please and thank you.

Answers

Answer:

As you can see, the -4 and -1/4 coefficient values are automatically different, and will resultantly produce different answers in the solutions.

The solutions are related, as the two numbers are reciprocals, as well as both being negative values.

Hope this helped !

why are u ugly sbadjBCBJXZBDFChd Sb çƒ√siub cvsxdhjb fsb zf jb

Answers

Answer:

आपको अपने पापों के लिए पश्चाताप करना चाहिए । वे तुम्हें नष्ट कर देंगे । आप कोई मौका नहीं खड़े हैं । तुम उसके हाथ पर मर जाओगे । पछताना

Step-by-step explanation:

its just so simple! :D

Lowkey hurt my feelings

I need help pleas!
Complete the table for the given rule.
Rule: y is less than 2 times x
x y
2
3
4
(I need to know what y is)

Answers

i think it might be 4,8,or 12

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
A) y-2=3(x+1/2). B)y-3=2(x+1/2)
C)y+1/2=3(x-2)
D)y+1/2=2(x-3)

Answers

Answer:

C

Step-by-step explanation:

The line passes through the point (2, -1/2) and has a slope of 3.

We can use the point-slope form, given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x₁, y₁) is a point, and m is the slope.

Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:

[tex]\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))[/tex]

Simplify:

[tex]\displaystyle y+\frac{1}{2}=3(x-2)[/tex]

Therefore, our answer is C.

An example of the Commutative Property of Addition is ________

Answers

Answer:

Commutative property of addition: Changing the order of addends does not change the sum.

Step-by-step explanation:

For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.

A countertop is 15 feet long and 8 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your
final answer to 2 decimal places.
The countertop is
square meters.
✓ Check
Next

Answers

Answer:

it will help you

Answer:

The countertop is  8.37 square meters

Step-by-step explanation:

Let

L ----> the length of the countertop

W ----> the width of the countertop

we know that

The area of rectangle (countertop) is equal to

we have

Remember that

To convert feet to meters multiply by 0.305

so

Find the area in square meters

Answer:

8.37

Step-by-step explanation:

hope this helps!

have a good day :)

Can someone please explain how to simplify expressions that have negative and positive exponents

Answers

Answer:

see below, I hope it's helpful

Step-by-step explanation:

Simplifying expressions...

1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step

2. Follow PEMDAS

3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)

examples x^(-4) = 1/(x^4)

                3^(-x) = 1/(3^x)

                (2/x)^(-n) = (1/(2/x))^n = (x/2)^n

                 2^(-x^3) = 2^(-3x) = 1/(2^3x)

so for example

2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can

1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it

1/(x^n) - 1/(x^n) + (1/((-n)^2x)

how do I find it ? Help me please

Answers

Answer:

14x² + 41x + 15

Step-by-step explanation:

............

In an election, 7/20 of the voters voted for a new school tax. What is the probability that a randomly selected voter did not vote for the tax? Express your answer as a percentage.

Answers

Answer:

65%

Step-by-step explanation:

so there were 20 total voters. 20-7 = 13 that did not vote for the tax

13/20= . 65 = 65%

1. 10a - 8b C) 4a + 5b
2. 5b + 3C (-) 4b + 3C
3. 6d + 6e (-) 9d - 8e
4. 8x - 3y (-) -4x + 8y.
5. Ors – 7bc (-) 9rs – 7bc
6. 5xy - 9cs (-)-3xy + cs
7. x2 - 6x + 5 (-) 3x2– 2x – 2​

Answers

Step-by-step explanation:

1)

a-13b

2) b

3) -3d+14e

4)12x-11y

5)-3rs

6)8xy-10cs

7)

[tex] - 2 {x}^{2} - 4x + 7[/tex]

8)

[tex]8 {y}^{2} - 7[/tex]

Answer:

1. 6a - 3b

2. b + 6c

3.- 3d - 2e

4. 12x + 5y

5. -3rs - 14bc

6. 8xy - 8cs

7. -2x^2 - 8x + 3

Step-by-step explanation:

Subtract polynomials

answer the questions below

Answers

1= 96 in squares
2=$45.50

1. Which of the following ratios is
not equivalent to the other three?

A 2/3
B 4/5
C 4 to 6
D 8 to 12

Answers

Answer:

B

Step-by-step explanation:

Because 2/3 times 2 = 4 to 6 = 8 to 12 if you multiply it by 2 you both of them except for 4/5 so the answer is B.

Can I be marked brainliest

PLEASE HEELPP!!!

State the Quadratic Equation in words:

Answers

Answer:

Step-by-step explanation:

negative b plus or minus the square root of b squared minus four times a times c all over 2a

When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the percent increase?

Answers

Answer:

about 31 percent

Step-by-step explanation:

Guys I really need help this is due and I have been on this question for 2 hours.
5. Reflection: Marissa wants to describe the relationship between the scale factor and perimeter of an image and its pre-image and between the scale factor and area of an image and its pre-image. What should she say about the relationship between the scale factor and perimeter of an image and its pre-image? What should she say about the relationship between the scale factor and the area of an image and its pre-image?

Answers

Answer:

see below

Step-by-step explanation:

Answer in your own words:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. Which can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.  

• The scale factor of a dilated figure is denoted by 'r' or 'k'.

• If the scale factor is more than 1 (k > 1), the image is enlarged.

• If the scale factor is less than 1 (0< k <1), the image is contracted.

• If the scale factor is 1 (k = 1), the image remains the same.

• The scale factor cannot be zero.

Scale factor = k

Pre-image lengths: a, b  

(perimeter = 2a + 2b)

Image lengths: ka, kb

(perimeter = 2ka + 2 kb or k (2a + 2b))

Marissa needs to say that the perimeter of the image is the perimeter of the pre-image times the same scale factor.

area of the pre-image = ab

area of the image = (ka)(kb) or k^2 (ab) (The area of the image is the area of the preimage times the square of the scale factor)

Scale factor 5 (then repeat it with scale factor 6)

length of the pre-image = 3 x 4  

(perimeter = 2 (3 + 4) = 2(7) = 14)

length of the image = (3x5) x (4x5) = 15 x 20= 300

(perimeter = 2 (15 + 20) = 2 (35) = 70 or 14 x 5 = 70  

area of the pre-image = 3 x 4 = 12

area of the image = 15 x 20 = 300

12 x (5^2) = 12 x 25 = 300  

on a girls volleyball team 9 out of 12 team members have played in previous years based on this information if 80 girls are in a volleyball league than how many could be expected to have played the year before?​

Answers

I Hope you have a wonderful day:)

Answer: I believe the answer is 60

Step-by-step explanation:

9/12 = 3/4

If we do cross multiplying x over 80 times 3/4 it equals 60.

I am sorry if it is not correct I'm not fully sure but I hope this helped!!

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