you ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
The period is the circumference of the tire (2pir)
start the cycle when the spot is at the top of the tire

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

Answer:

27p+54

Step-by-step explanation:

Multiply 9 to all the numbers inside the parenthesis!

Hope this helps! :)

Answer:

27 years

Step-by-step explanation:

21 × 2 = 42

42 - 15 = 27

Answer:

2 2/5

Step-by-step explanation:

2 24/60 = 2 2/5

there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5

Answer:

(3,1)

Step-by-step explanation:

If you plot both of the points on a graph you get another straight line.

When you connect the dots you get 3,1 as the midpoint of the two segments :))

Answer:

7 horses,and 6 chickens

Step-by-step explanation:

[tex]2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3[/tex]

Answer:

It is $42

if I am wrong then let me know so I can recheck my work

Answer:

$42

Step-by-step explanation:

20+10=30%

60*0.3=18

60-18=42

Answer:

2

Step-by-step explanation:

14 divided by 7 is two customers in one minute

Answer:

After one minute there will be 2 people inside the store.

Step-by-step explanation:

First we put this into a proportion. Aka set up like a fraction.

14 (customers)                 x

-------                 --->         ------

7 (minute)                      1 minute

In order to find x, we must divide by 7  because in order to make the bottom number one on the bottom, you must divide by 7 , so we do the same to the top.

14/7 is 2.  

This means that per minute, there are 2 people inside the store.

After one minute, There will be 2 people inside the store.

Step-by-step explanation:

This is a edit. The answer is 30. Brainly won't save my work.

[tex]3 \sqrt[5]{ {(x + 2)}^{3} } + 3 =27 \\3 \sqrt[5]{ {(x + 2)}^{3} } =24 \\ \sqrt[5]{ {(x + 2)}^{3} } = 8 \\ {(x + 2)}^{3} = {8}^{5} \\( x + 2) = \sqrt[3]{ {8}^{5} } \\ ( x + 2) = 32 \\ x = 30[/tex]

Answer:

A

Step-by-step explanation:

Because i took the the test

Answer:

64

Step-by-step explanation:

Answer:

she made a profit of 18$

50*1.2=60-42=18

Step-by-step explanation:

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

Answer:

translation of ABC to A'B'C' is 5,3

Answer:

La radicación es la operación inversa a la potenciación. Y consiste en que dados dos números, llamados radicando e índice, hallar un tercero, llamado raíz, tal que, elevado al índice, sea igual al radicando. En la raíz cuadrada el índice es 2, aunque en este caso se omite.

Answer:

a = 2 m/s²

Step-by-step explanation:

[tex]a = \frac{v-u}{t}[/tex]

where v is the final velocity, u is the initial velocity, and t is the time it takes. the intial velocity is always 0 m/s. given the equation, we subsitute:

[tex]a = \frac{10m/s - 0 m/s}{5s}[/tex]

a = 10m/s ÷ 5s

a = 2 m/s²

Answer:

Wym?

---‐---------------–---------—,-------

I'll answer it on the comment or are u just playing?

Answer:

12w=12 divided by 2

12w=6

=2

Step-by-step explanation:

Answer:

The coordinates of B are (-1, -5).

Step-by-step explanation:

Since the x-coodinate of M is 2 greater than that of B (note that -3 = -5 + 2), the x-coordinate of B is found by adding 2 to -3, obtaining -1.  The y-coordinate of M is -3, which is 2 less than the y-coordinate of A;  Thus, the y-coordinate of B is 2 less than -3, that is, -5.

The coordinates of B are (-1, -5).

Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

sunday: -11

thursday: -8

friday: 7

saturday: 18

Answer:

d. linear

Step-by-step explanation:

using the format y=mx+b

Answer:

Step-by-step explanation:

Equation for line a:

x = - 4

Equation for line b:

x = 4

Equation for line c:

y = 4

Equation for line d:

y = - 2

Equation for line e:

y = − 0.75x + 1