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
UNO [17]
3 years ago
10

What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

Mathematics
1 answer:
nordsb [41]3 years ago
3 0
Y = A cos(Bx + C)
A - amplitude
\frac{2\pi}{B} - period
- \frac{C}{B} - phase shift

y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}

Amplitude: 5
Period: \frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi
Phase shift: - \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}
You might be interested in
Item 1
AleksandrR [38]

It took them 4 days to install 480 chairs which means if they were working at a constant rate they got 120 chairs installed daily. with 360 chairs left that means in 3 days they will finish. so overall, it took the workers 7 days to finish, or a week.

8 0
2 years ago
Determine the value of x
Tomtit [17]

Answer:

the answer will be Root 2

Step-by-step explanation:

x^2 = 1^2 + 1^2

We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure

x^2 = 1 + 1

x^2 = 2

taking square root on both the sides

x = root of 2

3 0
3 years ago
Whats the answer for number 3
Karolina [17]

cant see the full question ;/

5 0
3 years ago
Because hit 7 more home runs than Beverly. Because hit 22 home runs. How many home runs did Beverly hit?
nekit [7.7K]
The answer choice isn't even up there. The answer is 15. Since Because hit 22 home runs; you would just subtract to find the number of Beverly's home runs since it says "7 more home runs than Beverly".


22 - 7= 15.

Hopefully this helps 



7 0
3 years ago
Read 2 more answers
Please help me please
spayn [35]

Answer:

A. 34°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent
  • Inverse Trig

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = <em>x</em>

Opposite leg AC = 24

Adjacent leg CB = 35

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Tangent]:                                                                    \displaystyle tanx^\circ = \frac{24}{35}
  2. Inverse Trig [Tangent]:                                                                                     \displaystyle x^\circ = tan^{-1}(\frac{24}{35})
  3. Evaluate:                                                                                                           \displaystyle x = 34.439^\circ
  4. Round:                                                                                                               \displaystyle x \approx 34^\circ
4 0
2 years ago
Other questions:
  • What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters.
    13·2 answers
  • A​ student's cost for last semester at her community college was ​$2000. She spent ​$360 of that on books. What percent of last​
    7·1 answer
  • Every day Katie looks at the seashells on the beach.she has 28 shells in her collection.katie finds 12 more shells each day
    12·1 answer
  • Which equation represents f(x)?
    8·1 answer
  • {18 • [(25 + 15) ÷ 4] + 25} • 12 + 16 • 3
    14·2 answers
  • Please do it step by step!
    12·1 answer
  • What’s perpendicular to the line of y=-3x-8 ?i’ll give brainlist
    7·1 answer
  • Divide and simplify 3/4 and 1/2
    7·2 answers
  • Find m∠U.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.
    14·1 answer
  • Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax u
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!