Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
8 is a whole number, so this will be the whole number part of our mixed number.
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.
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Simplify by dividing 25 to the numerator and denominator.
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So our fraction is
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0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.
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Simplify by dividing 5 to the numerator and denominator.
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So our fraction is
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To convert this to a decimal, just divide 5 / 8
Step-by-step explanation:
let number be x
3(4+x)=2x
12 + 3x = 2x
12 = 2x - 3x
12 = -x
x= -12
5 and three tenths translates to 5.3 and 2 and five tenths translates to 2.5... 5.3 - 2.5 = 2.8
2.8 translates to 2 and 8 tenths which can be simplified to...
2 and 4 fifths