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victus00 [196]
3 years ago
5

A cyclist travels 56 miles in 4 hours. What is the cyclist speed in feet per second

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

21.09 ft/s

Step-by-step explanation:

The first step is to create the ratio of speed/time.

\frac{56 miles}{4 hours}

Next we must simplify

\frac{14 miles}{1 hour}

Next we must convert 14 miles in to feet. There are 5280 feet in a mile.

14 * 5280ft = <u>75,920 feet</u>

Now for hours into seconds.

1 hour = 60 min, 60 min = 3600 seconds

Our new ratio is \frac{75920ft}{3600sec}

simplify.

75920ft / 3600sec = 21.09ft/s

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Karen set her watch 1 second behind, and it falls behind another 2 seconds every day. How many days has it been since Karen last
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Answer:

The equation to find the answer is  9=1+(n-1)2.

It has been 5 days since Karen has set her watch.

Step-by-step explanation:

Given:

Karen set her watch 1 second behind

So we will consider;

First term 'a'  = 1 second

Also Given :

it falls behind another 2 seconds every day.

So we can consider;

Common difference = 2

We need to find number of days it has been 9 seconds since Karen last set her watch

Solution:

Let number of days be represented by 'n'.

Also Let T(n) = 9

Now By Applying formula for Arithmetic Progression we get;

T(n)=a+(n-1)d

Substituting the given values we get;

9=1+(n-1)2

Hence The equation to find the answer is  9=1+(n-1)2.

On Solving the above equation we get;

Subtracting both side by 1 we get;

9-1=1+(n-1)2-1\\\\8=(n-1)2

Now Dividing both side by 2 we get;

\frac{8}{2}=\frac{(n-1)2}{2}\\\\4=n-1

Adding 1 on both side we get;

4+1=n-1+1\\\\n=5

Hence It has been 5 days since Karen has set her watch.

3 0
4 years ago
A crane is being used to remove a piano from an apartment building. The apartment window is 56 feet directly above the bed of th
gregori [183]
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denis23 [38]

Answer:

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Step-by-step explanation:

3^3 = 27

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