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
TiliK225 [7]
4 years ago
9

A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between

times of maximum brightness is 3.8 days. The average brightness of this star is 2.0 and its brightness changes by ±0.35. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function
Mathematics
1 answer:
fomenos4 years ago
5 0

Answer:

0.41 (correct to 2 decimal place)

Step-by-step explanation:

If B(t)=4.0+0.35sin\frac{2\pi t }{5.4}

Let u=\frac{2\pi t }{5.4}, then B(u)=4.0+0.35sin u

We want to determine the rate of increase \frac{dB}{dt} after one day

du=\frac{2\pi dt }{5.4} and \frac{dB}{du}  =0.35cos u

\frac{dB}{dt}=\frac{2\pi }{5.4}0.35cos (\frac{2\pi t }{5.4})=0.407cos (\frac{2\pi t }{5.4})

B^{'} (t)=0.407cos (\frac{2\pi t }{5.4})

Rate of increase after one day, i.e. t=1

B^{'} (1)=0.407cos (\frac{2\pi X 1 }{5.4})= 0.407 =0.41 (correct to 2 decimal place)

You might be interested in
Solve this problem <br> y=3mx- 8b
Alex_Xolod [135]
This type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
8 0
3 years ago
Can someone plz help me
RideAnS [48]
The answer is 4 my good man
7 0
3 years ago
13POINTS!!!
dezoksy [38]
Using cosine rule,
x^2=y^2+w^2-(2yw x cos X)
x^2=4.5^2+5.7^2-(2x4.5x5.7xcos 155)
x^2=99.2336
x=root over 99.2336
x=9.96 cm.
I hope this helps!
8 0
3 years ago
6. The base of a triangular field is three times its height. If the cost of cultivating the field
dedylja [7]

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = \frac{1}{2} x base x height

For the given triangle,

area = \frac{1}{2} x b x 3h

       = \frac{3}{2}bh

Area of the triangle = \frac{3}{2}bh

To determine the number of hectares,

36 per hectare = 486

hectare = \frac{486}{36}

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = \frac{3}{2}bh

135 000 = \frac{3}{2}bh

270000 = 3bh

bh = \frac{270000}{3}

     = 90000

bh = 90000

But, b = 3h

3h x h = 90000

3h^{2} = 90000

h^{2}  = \frac{90000}{3}

     = 30000

h = \sqrt{30000}

  = 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

  = 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

7 0
4 years ago
Given that
Pepsi [2]

Answer:

The answer would have to be 76

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A file that is 278 megabytes is being downloaded. If the download is 14.3% complete, how many megabytes have been downloaded? Ro
    14·1 answer
  • A right triangle has legs measuring 18 in. and 26 in.
    9·2 answers
  • Need help in algebra quick <br> Anything helps
    13·1 answer
  • Nerisa has 5 pink bow, 1 Blue bow ,and 4 Purple bows in a box. She will Randomly choose 1 bow from the box
    5·1 answer
  • HELP ME PLLEEEEASE I BEG
    12·1 answer
  • Attachment pic:<br> Please help
    5·1 answer
  • Can you please help it's urgent
    11·2 answers
  • Helppppppppppppppppppp helppppppppppppp
    6·1 answer
  • Consider an urn containing 4 white balls and 1 black ball, and suppose that balls will be sequentially drawn (without replacemen
    15·1 answer
  • A cup of coffee contains 140 mg of caffeine. If caffeine leaves the body at 10% an hour, how long will it take for half of the c
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!