in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 laps in 30 minutes write a sin function to determine the distance between the observer and the red car at the minute graph the function.​

Answers

Answer 1

Answer:

Distance between  the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]

Step-by-step explanation:

Diameter of field = 500 m

Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]

Let R be the radius and the speed at which the car completes race be w

So,[tex]w=\frac{2\pi}{T}[/tex]

Car finished 5 laps in minutes = 30

Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]

So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]

Refer the attached figure

Angle between car and observer = wt

So, Distance between  the observer and the red car is give as A sin wt

So, Distance between  the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]

In A Car Race Feild(round Track That Is 500m Diameter An Observer Was Starting Point And The Race Started

Related Questions

Someone help I don’t understand

Answers

Answer:

a)C

b)E

Step-by-step explanation:

a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C

b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.

The population of a town was 4,512 in 2015 and grows continuously at annual rate of 2.25%. What is the town's
projected population in 2030?
6,034
6,136
6,323
6,467

Answers

C. 6323
It’s correct

what is 12222006783*46439

Answers

Answer:

567577772995737

hope this helps =3

Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.

Answers

Answer:

its B, C and E

Step-by-step explanation:

Answer:

Jayne evaluated an expression that has a value of  StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.   Best Option  B, C

(B) 9 Superscript negative 3

(C) 3 Superscript negative 6

Step-by-step explanation:

What is the volume of the
rectangular prism shown
below?

Answers

Answer:

C. 216 m^2

Step-by-step explanation:

The formula for the volume of a right solid is area of the base multiplied by the height. Following this formula, we multiply the given area of the base (27 m^2) by the height (8 m) to get 216 m^2, which is option C.

Mrs. Bennett has a collection of nickels and dimes worth $8.50. If she has 120 nickels and dimes, how many of each does she have?


No Solution
No Solution

(50 , 70)
(50 , 70)

Infinitely many Solutions (IMS)
Infinitely many Solutions (IMS)

(70 , 50)

Answers

120 nickels= 6 dollars
120 dimes = 12 dollars

What is 9.513 times 5.7 equal?

Answers

Answer: 54.2241

Step-by-step explanation:

You multiply 9.513 by 5.3 which gives you an answer of 54.2241. (Hope this helped)

find the coordinates

Answers

Answer:

Take the number 10 and put it on the first box, next take the 315 degrees and put it on the 2nd box

is the following relation a function?

Answers

Answer:

No, it is not a function.

Step-by-step explanation:

It is not a function, because for every X there should only be one Y.

Answer:

No.

You cant have one to many, it's too vague.

Write the slope-intercept for of the equation of the line with that passes through the point (2,-8) and is perpendicular to 2x+3y=15

Answers

Answer:

y = 3/2 x - 11

Step-by-step explanation:

Recall that a perpendicular line to the expression:

2 x + 3 y = 15

3 y = - 2 x + 15

y = - 2/3 x + 15/3

is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.

We use this value in a general point-slope form of a line, where we use the point (2, -8) :

y - (-8) = 3/2 (x - 2)

y + 8 = 3/2 x - 3*2/2

y + 8 = 3/2 x - 3

y = 3/2 x - 3 - 8

y = 3/2 x - 11

5 1/6 + 7 1/3 helpppppppp fasssssssssttttttt

Answers

Answer:

12 and 1/2 (12.5)

Step-by-step explanation:

Answer:

12 3/6

Step-by-step explanation:

Broken Down :

5 + 7 = 12

1/3 =  2/6

2/6 + 1/6 = 3/6

So, 12 3/6

Rachel invests $6,500 into a 5-year CD. The interest rate is 4.2% and is compounded semi-annually. How much will she have in her account at the end of the 5 years?​

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=6500\left(1+\frac{0.042}{2}\right)^{2\cdot 5}\implies A=6500(1.021)^{10}\implies A\approx 8001.49[/tex]

According to the equation, how much would a person earn who works 40 hours?

What if the person got a $50 bonus and also worked some hours? How would this change the graph?

What if the person got a $2 per hour rate? How would this change the graph of the line?

What is slope? Write a conclusion about the ratio and slope.

Answers

The slope of the graph is $15 per hour. The linear function is given by y = 15x

What is a linear function?

A linear function is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept

The graph passes through the point (1, 15) and (8, 120) is:

y - 15 = [(120 - 15)/(8 - 1)(x - 1)

y = 15x

For 20 hours; y = 15(20) = $300

If the person got a $50 bonus and also worked some hours, the graph would change because the y intercept would be 50.

If the person got a $2 per hour rate, the graph would change because the slope would be 2.

The slope of the graph is $15 per hour.

Find out more on linear function at: https://brainly.com/question/15602982

What is the answer to -3-8g+4g-6

Answers

-3-6=-9
-8g+4g=-4g

So lets say y is your equal to

The answer is

Y=-4g-9

I WILL GIVE BRAINLIESTTT

Answers

Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)

Step-by-step explanation:it’s a

b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.

Can someone help me please??

Answers

6.4 I apologize if this isn’t the answer but from what the calculators say I would think this is the correct one

Select the statement that describes this expression: 5 x (3 + 4) − 4.

5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4

Answers

Answer:

A) 5 times the sum of 3 and 4, then subtract 4

It is the first one because times that then you add them subtract

order least from greatest -50 44 -3 1.5

Answers

Answer:

-50, -31.5, 44 I think

Step-by-step explanation:

The order from least to greatest is:

-50, -3, 1.5, 44

When the negative value increases ( from -1 to -2 ), the value in general decreases. Negative values have a lower value than non-negative numbers.

1/2 x - 12 = 12? Need Answer ASAP only have few mins left i studied whole night but forgot this question

Answers

Answer:

x = 48

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] x can be rewritten as [tex]\frac{x}{2}[/tex].

[tex]\frac{x}{2} - 12 = 12[/tex]

add 12 to both sides.

[tex]\frac{x}{2} = 12 + 12[/tex]

[tex]\frac{x}{2} = 24[/tex]

multiply both sides by 2.

[tex]x = 24 * 2[/tex]

x = 48

All negatives must be included in your final answer:
ie. if the question asks for the whole number portion, numerator, or denominator of the answer and it has a negative, you must include that negative.
Be sure to reduce all fractions fully and convert improper fractions to mixed numbers before stating your final answer

Answers

Answer:

im pretty sure that the answer is 2/3

Step-by-step explanation:

Inequality question . Appreciate the help with this question . Thank you .

Answers

Answer:

B, the inequality -16.3<-10.9 means that the average winter temperature in state M is colder than the average winter temperature in state O

Step-by-step explanation:

If a number is in the negatives then the bigger those numbers are, the colder it would be.

If a = [1,2,3] and b = [1, 3, –2], find the angle between a and b.

Answers

Answer:

85.9°

Step-by-step explanation:

angle = [tex]\arccos\frac{a\cdot b}{|a| |b|} = \arccos\frac{1+6-6}{{\sqrt{1+4+9}}\sqrt{1+9+4}}\\=\arccos\frac{1}{14}=85.9 degrees[/tex]

F in class need help

Answers

They both need money to improve their lives

Convert 3 3/8 to an improper fraction

Answers

Answer:

The improper fraction for the mixed number 8 3/8 is 67/8. To find this, the first step is to multiply the denominator of the fraction (8)

66/8

why?

8x8+2 =66/8.

Simplify =33/8

Need to know quick please

Answers

[tex]check \: photo \: for \: detailed \: analysis[/tex]

how do you write 1.14 million?​

Answers

Answer:

1,140,000

Step-by-step explanation:

1 million = 1,000,000

So, 1.14 million = 1,140,000

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 368 chocolate and 32 mocha. What percent of the cupcakes sold that day were chocolate?

Answers

How to find the percent:

32/368 = 0.0869
0.0869x100 = 8.69


8.869 is the percentage of the mocha cupcakes. To get the percentage of the chocolate ones, we subtract 8.69 from 100.
100-8.69=91.31

Answer: 93.31 perfect of the cupcakes sold were chocolate

Answer:

92%

Step-by-step explanation:

Find the midpoint (-8,6), (5,-7)

Answers

Answer:

Hello

Midpoint of (-8,6) and (5,-7)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-8+5/2),(6+-7/2)

        =(-3/2),(-1/2)

Midpoint of (-8,6) and (5,-7) is (-3/2),(-1/2)

Hope it helps you.....

Combine these radicals. Whos ever up I need this NOW!! 55 points

Answers

√27 - √3

= 3√3 - √3

= 2√3

I think the answer is the second one.

Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ time. She could not make the payment five months ago, but after receiving a bonus at work, she rescheduled to repay the loan in two equal payments, the first due in two months and the second due in five months’ time. The payment at month five will settle the debt, therefore, the settlement date is month five. The debts and payments are subject to the same interest rate of 11,4% per annum, compounded monthly.

Answers

The discount factor computed shows that the value of each payment will be $1546.

How to calculate the payment?

The following can be deduced from the information:

Payment due in 5 months = $1684

Payment due in 8 months = $1323

Annual interest  = 11.40%

Monthly interest rate = 11.40%/12 = 0.95%

Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52

Present value of payment due 8 months ago = $1226.62

Total present value = $1765.52 + $1226.62 = $2992.14

After rescheduling, the payments will be in 2 months and 5 months.

Discount factor for payment due in 2 months = 0.9813

Discount factor for payment due in 5 months = 0.9538

Combined discount factors= 0.9360

Therefore, the value of each payment will be:

= $2992.14/(1 + 0.9360)

= $1546

Learn more about discount factor on:

https://brainly.com/question/24286983

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