2

Mathematics

1 answer:

Sati [7]3 years ago

6 0

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

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Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north

Grace [21]

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

$x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]$

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]