Use the number line. What fraction of 1 foot is 3 inches? What fraction of 1 yard is 3 inches?

Mathematics

2 answers:

alexira [117]3 years ago

8 0

Answer:

1 foot----------------1/4

Step-by-step explanation:

I yard----------------1/12

ira [324]3 years ago

7 0

Answer:

3 inches is $\frac{1}{4}$ of a foot

3 inches is $\frac{1}{12}$ of a yard

Step-by-step explanation:

As shown on the number line, we know that 1 foot is equal to 12 inches. To find what fraction of a foot 3 inches is, we have to compare 3 inches to 12 inches.

Think: What do I have to multiply 12 by to get 3? If that's too difficult, think: what do I have to multiply 3 by to get 12?

You have to multiply 3 by 4 to get 12, so you have to multiply 12 by $\frac{1}{4}$ to get 3

A yard is 3 feet, and a foot is 12 inches. This means that a yard is 36 inches.

Do the same as above, and you will get $\frac{1}{12}$ as your answer.

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astraxan [27]

Answer:

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Step-by-step explanation:

32/8

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2 years ago

A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

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$A$ is amplitude
$w$ is the natural frequency of oscillation ( $rads^{-1}$ )
$c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )