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
andre [41]
3 years ago
10

For the given function, state the amplitude and the maximum output for the function: ƒ(t) = 2sin(t).

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
6 0

Answer:

Maximum output for the function is (2).

Step-by-step explanation:

The given function is f(t) = 2sin(t).

The given function is representing a sine function, in a standard form of

f(x) = asinx

Now we know that a is the amplitude and at t = \frac{\pi }{2}

Since curve has the maximum output.

f ( \frac{\pi }{2} )  = asin (\frac{\pi }{2} ) = a = 2

Therefore, maximum output of the function is (2).

Natasha_Volkova [10]3 years ago
3 0
Amplitude= max output=2
You might be interested in
Need help on these trig homework
allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

sin 20 = \frac{x}{23}

Cross multiply

sin 20 × 23 = x

x = 0. 3420 × 23

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

sin 37. 3 = \frac{x}{19}

cross multiply

x = 0. 6059 × 19

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

For side a, we use the Pythagorean theorem

c^2 = a^2 + b^2

85^2 = a^2 + 67^2

a = \sqrt{89^2-67^2}

a = \sqrt{3432}

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

\frac{59}{sin A } = \frac{85}{sin 90}

cross multiply

sin A × 85 = sin 90 × 59

make sin A subject of formula

sin A = \frac{59}{85}

sin A = 0. 6941

A = sin^-^1(0. 6941)

A = 44°

\frac{67}{sin B} = \frac{85}{sin 90}

cross multiply

sin B × 85 = sin 90 × 67

make sin b subject of formula

sin B = \frac{67}{85}

sin B = 0. 7882

B = sin^-^1( 0. 7882)

B = 52°

4. To find the sides, we use the sine rule;

\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}

Cross multiply

sin 56. 6 × c = sin 90 × 74

make 'c' subject of formula

c = \frac{74}{0. 8348}

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

c^2 = a^2 + b^2

b^2 = c^2 - a^2

b^2 = 88. 8^2 - 74^2

b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}

b = 49. 1 m

\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}

cross multiply

sin B = \frac{40. 99}{74. 0}

B = sin^-^1(0. 5539)

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

#SPJ1

3 0
1 year ago
Using the answers from z^4=16 determine the solutions of the equation (x+1)^4=16(x-1)^4​
Artemon [7]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

4 0
3 years ago
A recipe for cake needs ¾ of a cup of milk. You are making ½ of the recipe. How much milk do you need?
belka [17]

Answer:

3/8 cups

Step-by-step explanation:

divide 3/4 by two

4 0
3 years ago
Log<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%2027" id="TexFormula1" title=" \frac{1}{3} 27" alt=" \frac{1}{
forsale [732]
Hi, I'd be glad to help you with this equation!

The answer is (9) 

Hope this helps. 
Have a great day!
6 0
3 years ago
Chris sells roses for $25.99 a bunch. At the end of the day he has collected $285.89. How many bunches of roses did he sell
Kryger [21]
11 bunches
In order to find how many bunches he sold, do 285.89/25.99
hope this helps!
3 0
3 years ago
Read 2 more answers
Other questions:
  • I don’t know how to do this
    7·2 answers
  • Plz help ASAP PLZZZ!!!
    6·2 answers
  • _8-1_ = 57<br>please answer​
    9·2 answers
  • Solve the system by using the combination method<br> 4x+9y=7 <br> 4x-9y=9
    13·1 answer
  • Item 28
    9·1 answer
  • X^3-x^2-4x<br> factor completely
    14·2 answers
  • 22. In 12 weeks Felipé earns earns $4,500 doing yard work. He earns the same amount each week. Let m stand for the amount earned
    14·1 answer
  • Help pls also show work if needed!!
    13·2 answers
  • Rihanna works in a coffee shop approximately nine miles from her apartment She bikes every day from her apartment to the coffee
    14·1 answer
  • Esterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!