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The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (startfraction pi over 30 endfraction (t minus 15)) 8. which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12

Sagot :

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

More about the function link is given below.

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