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Ivanshal [37]
3 years ago
5

How to find amplitude and period from equation?

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0
If your graph is a COS or SIN graph :

y = a \sin(bx) + c
a is the Amplitude
and period is:
\frac{360}{b}

If your graph is a TAN graph :
y = a \tan(bx) + c
A TAN graph has no amplitude as it has no Maximum or Minimum value.
To find period :
\frac{180}{b}
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A rose garden Is formed by jolning a rectangle and a semicircle, as shown below. The rectangle Is 23 ft long and 14 ft wide.Find
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Answer:

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\begin{equation*} 398.93\text{ ft}^2 \end{equation*}

Explanation:

Given the below parameters;

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Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.

The radius(r) of the semicircle will now be;

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Let's now go ahead and determine the area of the semicircle using the below formula;

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Let's also determine the area of the rectangle;

A_r=l*w=23*14=322\text{ ft}^2

We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;

\begin{gathered} Area\text{ of the garden = Area of semi circle + Area of rectangle } \\ =76.93+322 \\ =398.93\text{ ft}^2 \end{gathered}

Therefore, the area of the garden is 398.93 ft^2

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