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
madam [21]
3 years ago
10

The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric fun

ction P(t)=−10sin(pi/3t), where t represents time, in seconds. How many seconds does it take the pendulum to complete one full cycle?
A= 3
B= 5
C= 6
D= 10

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:T = 2*Pi / (Pi / 3) = 6 seconds

Step-by-step explanation:

You might be interested in
-3x - y =1<br> 4x + 5y = 6
Gwar [14]

Answer: it equals 1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective
Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

E_{IR} = \frac{E}{P}.

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}.

So

E = 6200*0.0884*\frac{1}{9} = 60.9

The effective interest rate is

E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0
3 years ago
) the top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. if the area of printed material on the pos
grin007 [14]
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)

Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm

The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.

_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
8 0
3 years ago
The sum of three times the larger of two integers and twice the smaller is seven the difference between the two integers is four
Aloiza [94]

Answer:

x=3   y=-1

Step-by-step explanation:

3x+2y=7

x-y=4

4 0
3 years ago
Manny can paint the office​ by himself in 5 hours. Dave can do the same job in 8 hours. How long will it take them to do it work
Alex Ar [27]

Answer:

3 hrs 4.6 mins

Step-by-step explanation:

1/5 + 1/8 = 1/x

x = 40/13

3 0
2 years ago
Other questions:
  • Help on homework due tomorrow
    8·1 answer
  • How do I find the area???
    14·1 answer
  • Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue. What is the probability that
    12·1 answer
  • The answer and steps to 3×42÷(56÷8×3)​
    14·1 answer
  • Which of the following is equivalent to (x+4)(3x^2+2x)?
    15·1 answer
  • Does anyone know the answer to this?!
    7·2 answers
  • What is the minimum z-score that a data point could have in order to remain in the top 5% of a set of data? Round your answer to
    11·1 answer
  • If a cube has a side length of 6.5 inches, which would be the cube's volume?
    9·1 answer
  • *HELP ASAP*
    13·1 answer
  • What is after googolplex
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!