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babunello [35]
3 years ago
9

A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow.

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer:

30 feet

Step-by-step explanation:if a man 6 feet talll cast a 3 foot shadow that means its half how tall u are so the pine is 30 feet tall and cast a 15 foot shadow

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Find the greatest common factor of 10, 30 and 45
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Answer:

The greatest common factor is 5.

Step-by-step explanation:

The prime factorisation of 10, 30 and 45 is,

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30 = 2 × 3 × 5

45 = 3 × 3 × 5

The prime factor '5' is common in the factorisation of 10, 30 and 45

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Step-by-step explanation:

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2 years ago
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
netineya [11]

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

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where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

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