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Gekata [30.6K]
2 years ago
13

I need help with this cause I wasn’t at school the day we took notes for this!!

Mathematics
1 answer:
Elenna [48]2 years ago
3 0

Answer:

1. draw a parallelogram, 2. draw an isoceles triangle (a dash on 2 of the traingles lines to show its equal), 3. equilateral pentagon (a dash on all sides), 4. equilateral octogon (draw dashes on all and draw arrows on pair of parallel sides from 1 arrow to 4 arrows)

Step-by-step explanation:

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The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio
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The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

  • The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; \displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

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Therefore;

\displaystyle a  = \frac{10 -9}{2} = 0.5

b = The cycle speed

The period, T, is given as follows;

\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}

The period of a block, T = 12 hours

Therefore;

\displaystyle b = \frac{2 \cdot \pi}{T}

\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}

\displaystyle d  = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5

At t = 0, H = The highest point = 10 ft.

Which gives;

\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0  -c\right) + 9.5} = 10

\displaystyle  cos \left( -c\right)  = \frac{0.5}{0.5}  = 1

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}

The above equation is the same as; <u>H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5</u>

Learn more about the cosine function here:

brainly.com/question/4458343

brainly.com/question/24368105

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