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kolbaska11 [484]
3 years ago
13

the table shows the distance randy drove on one day of her vacation. Find the distance randy would have gone if she had driven f

or one more hour at the same rate. Explain how you solved the problem.
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0
I found the table that accompanies this problem:

Time(h)                1       2        3      4       5
Distance (mi)    55   110   165  220  275

speed = distance / time
speed = 55/1 = 55 miles per hour

speed = 110/2 = 55 miles per hour
speed = 165/3 = 55 miles per hour
speed = 220/4 = 55 miles per hour
speed = 275/5 = 55 miles per hour

distance = speed * time
distance = 55 miles per hour * 6 hours
distance = 330 miles.

To get the distance traveled, simply multiply the speed by the number of hours spent travelling.
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Could someone please explain how to solve for the area?
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9514 1404 393

Answer:

  779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

  A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

  A = (n/2)r²sin(360°/n)

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For a hexagon (n=6) with radius 10√3, the area is ...

  A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

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tatuchka [14]
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