1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tester [92]
2 years ago
7

A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

complete 1 full rotation every 6 sec.
a) write an equation, representing the distance, d, in feet that the center of the circle of light, is a light source at t time.
Mathematics
1 answer:
Effectus [21]2 years ago
5 0

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

<h3>How to determine the equation</h3>

The equation is a secant function represented by

y =A\sec(Bt)

Where:

A represents the amplitude

So, we have:

A = 40 --- the distance of the light from each square wall

B represents the period, and it is calculated as:

B = \frac{2\pi}{T}

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

B = \frac{2\pi}{6}

Simplify

B = \frac{\pi}{3}

Substitute values for A and B in y =A\sec(Bt)

y = 40\sec(\frac{\pi}{3}t)

Rewrite as a function

d(t) = 40\sec(\frac{\pi}{3}t)

Hence, the equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

Read more about trigonometry functions at:

brainly.com/question/1143565

You might be interested in
I will mark brainlest <br><br> What is (-5) - (-98)<br><br> lol I am just doing this for fun
denpristay [2]

Step-by-step explanation:

( - 5) - ( - 98) \\ ( - 5) + 98 = 93

6 0
3 years ago
Read 2 more answers
What digit is in the ten thousands place in the number 925,634,780?
Ludmilka [50]

Answer:

3 because pretend the rest of the numbers are not there it is 3

3 0
3 years ago
Use the elimination method to solve the system of equations.<br><br>3x-5y= -16<br><br>2x+5y=31
Sholpan [36]
5x = 15
x = 3

3(3) - 5y = -16
9 - 5y = -16
5y = -16 - 9
5y = - 25
y = - 5

(3, -5)
8 0
3 years ago
Which type of rigid transformation is shown?<br><br> reflection<br><br> rotation<br><br> translation
Sever21 [200]

C: translation

i seen there wasn't any answer so i decided to get it wrong for the good people that use brainly i got you guys

4 0
3 years ago
Read 2 more answers
(16 - 6) + f - 9 = 12
CaHeK987 [17]

Answer:

f = 11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The product of a number w and 73
    6·1 answer
  • Solve the equation 4p+9+(-7p)+2=
    7·1 answer
  • : . . . 3. at 18 thy Quot-lent of 1,000 ~ ., . ‘ : - - '2; iv . 44 a mm fl ‘ 4'. a '3 ,. -, . ,. , . 3' k , it ’ » ' ' ‘ ‘ V . .
    13·1 answer
  • What is<br> 2x + 8 - 22x = -2
    7·1 answer
  • Find the value of the expression.<br> 3 - 0 x 11
    12·2 answers
  • What is 6/17 in decimal form? Like small decimal form.
    6·2 answers
  • Howard earned $48 in interest after saving for 3 years at a simple annual interest rate of 2%. How much did Howard originally de
    9·2 answers
  • 15 men can dig a trench of 90 m long in
    15·2 answers
  • Please answer fast and with a short answer
    12·1 answer
  • If PG' equals 0. 5 units, what is PG? 2. 5 units 3 units 4. 5 units 6 units.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!