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lisov135 [29]
3 years ago
13

What is the amplitude of sin ?

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

\displaystyle \large{ y = A \sin(bx  -  c) + d}

  • A = amplitude
  • b = period = 2π/b
  • c = horizontal shift
  • d = vertical shift

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

\displaystyle \large{y = 2 \sin x}

Refer to the equation above:

  • Amplitude = 2
  • b = 1 and therefore, period = 2π/1 = 2π
  • c = 0
  • d = 0

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

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How far apart are the points (0,-1) and (6,5)?
Iteru [2.4K]

Answer:

(6, 6)

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
​$9500 is​ invested, part of it at 12​% and part of it at 9​%. For a certain​ year, the total yield is ​$1032.00. How much was
alina1380 [7]
Let's say the quantities are "a" and "b"
so... whatever "a" and "b" are, they add up to 9,500, thus

a + b = 9,500

now, "a" was invested at 12%, or 12/100
it yielded some amount, actually 12% of a, or 12/100 * a or 0.12a

the "b" amount was invested at 9%, or 9/100
it yielded 9% of b, or 9/100 * b or 0.09b

whatever 0.12a is, and 0.09b is, their sum or total yield was 1032
thus
0.12a + 0.09b = 1032

thus     \bf \begin{cases}
a+b=9,500\implies \boxed{b}=9,500-a\\\\
0.12a+0.09b=1032\\
--------------\\
0.12a+0.09(\boxed{9,500-a})=1032
\end{cases}

solve for "a" to see how much was invested at 12%

what about "b"? well, b = 9500 - a
4 0
2 years ago
-6n + 3= 45<br><br>how do solve this? I need help showing my work<br>​
jenyasd209 [6]

Answer:

n = -7

Step-by-step explanation:

-6n + 3 = 45

       -3     -3

--------------------

-6n = 42

Divide both sides by -6

42/-6 = -7

n = -7

5 0
3 years ago
Are these triangles similar?
Leno4ka [110]

Answer:

Not similar, one has 4 sides

Step-by-step explanation:

3 0
3 years ago
The measure of each angles
Aleks [24]
Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead
4 0
3 years ago
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