Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,
In triangle ABC,
It can be written as
Therefore, the measure of θ is 28.369.
The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.
<h3>How to analyze sinusoidal functions</h3>
In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:
- Equation of the axis - Horizontal that represents the mean of the bounds of the function.
- Period - Horizontal distance needed between two maxima or two minima.
- Amplitude - Mean of the difference of the bounds of the function.
- Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.
Then, we have the following results:
- Equation of the axis: y = - 1
- Period: 6
- Amplitude: 2.5
- The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:
cos θ = sin (θ + π/2)
To learn more on sinusoidal functions: brainly.com/question/12060967
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Let’s set this equation up to make this easier.
melanie= 2 1/5 miles walked
cathy= 1 3/4 more times than melanie.
when an equation says the word, more than this means adding. when it says less than this means subtraction. when it says times (in this question) then multiply.
so, if cathy walked 1 3/4 more times than melanie what we would do is multiply 1 3/4 to what melanie was walking. so 2 1/5 times 1 3/4 which equals 3.85.
so overall, cathy walked 3.85 more miles than melanie.
