The area of a rectangle is 5.472 m2. If the length of the rectangle is 0.72 m, what is the width of the rectangle?
1 answer:
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Answer:
48 sq. units
Step-by-step explanation:
The area of a trapezoid is given by half sum of the bases multiplied by the height
where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoid
But you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae is covered by the median
Hence area, A, of a trapezoid is simplified to product of median and amplitude
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;
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
Therefore;
b = The cycle speed
The period, T, is given as follows;
The period of a block, T = 12 hours
Therefore;
At t = 0, H = The highest point = 10 ft.
Which gives;
-c = arcos(1) = 0
-c = 0
c = 0
The equation is therefore;
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: