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Setler79 [48]
1 year ago
13

Question 8 using radians, find the amplitudeand period of each function and graph it

Mathematics
1 answer:
brilliants [131]1 year ago
5 0
Given

The function is given as

y=3cos\frac{\theta}{3}Required

To determine the amplitude and period.

Explanation

The general trigonometric equation is

y=Acos(Bx-C)+D

where A is the amplitude.

Compare with the given equaiton.

A =3.

Then the amplitude is 3.

Now , find the period.

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

Substitute the value of B in the expression.

P=\frac{2\pi}{(\frac{1}{3})}=6\piAnswer

Hence the amplitude is 3 and period is

6\pi

The graph of the equation is determined as

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Given the equation P2 = A3, what is the orbital period, in years, for the planet Saturn? (Saturn is located 9.5 AU from the sun.
algol [13]

Answer: 29.28 years

Explanation:

From Kepler's third law the square of orbital period of revolving celestial body is proportional to the cube of semi -major axis from the body  it is revolving about.

P² =A³

Where, P is the orbital period in years and A is the semi-major axis in AU (Astronomical units)

It is given that, For Saturn, A = 9.5 AU. We need to find P

⇒P² = (9.5 AU)³

⇒P² = 857.38

⇒P = 29.28 years

Thus, the orbital period of Jupiter is 29.28 years around the Sun.

5 0
3 years ago
This glass is 5 in tall and 2.5 inches
Finger [1]

The cubic inches left is 20.05 cubic inches.

<h3 /><h3>Description of the glass </h3>

A glass has the shape of a cylinder. In order to determine which glass is left, the volume of the glass has to be determined. Then what is drank would be subtracted from the volume of the glass.

<h3>Volume of the cylinder. </h3>

Volume of a cylinder = nr^2h

  • n = 22/7
  • r = radius= 2.5 / 2 = 1.25

22/7 x 1.25^2 x 5 = 24.55 cubic inches

<h3>Determination of what is left </h3>

24.55 - 4.5 = 20.05 cubic inches

To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

7 0
2 years ago
Ms. Sloane earns an 8% commission on her total sales. In February, Ms. Sloane's total sales were $29,250. In March, Ms. Sloane's
sweet-ann [11.9K]

Answer:

$278

Step-by-step explanation:

8% of 29,250 = 2340

8% of 32,725 = 2618

2618 - 2340 = 278

she earned $278 dollars more in march than in february.

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2 years ago
If it is 7:00 pm in New Mexico (NM), what time is it in Maryland (MD)?
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Eastern 9:00p.m
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Find the diameter and radius of a circle that has a circumference of a 23 cm
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The diameter is 46 and the radius is 11.5

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3 years ago
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