Question

Help me please!!! i dont get this!!!

Answer 1

25 seconds

Step-by-step explanation:

the first step is to find the radius of the pond, as that is the distance from the outside of the circle to the center, the same path the boat is taking. the formula for the circumference of a circle is 2pi(r)= circumference, where r represents the radius. to solve for the radius instead of the circumference, we can format the equation as r= circumference/2pi, because to isolate the radius on the left side of the equation you must divide by 2pi on both sides. we know the circumference is equal to 628, so the equation filled out is r= 628/2pi. firstly, 2*pi is 6.28, using 3.14 as pi. 628/6.28 is 100, so the radius is 100 feet.

next, we know the boat is travelling 4 feet per second. since the path it is travelling is 100 feet long, we must divide 100 by 4. 100 ft divided by 4 ft per second leaves us with 25, so it will take the boat 25 seconds to reach the center of the pond.

hope this helps!

Answer 2

Answer: 25 seconds

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Step-by-step explanation:

The circumference is a special term to mean the perimeter of a circle, or the distance around the circle. Think of a very long rope you can wrap around the circle. Unwinding that rope to make it lay straight can then lead to help measure out the perimeter of the circle when using a straight measuring device (eg: ruler). You can also think of flexible cloth ruler tape that is used to make clothing, and to measure things like height, when thinking about measuring the perimeter of a figure with curves to it.

In this case, the perimeter of the circle is 628 feet. The formula to find the circumference (C) given a radius (r) is shown below

C = 2*pi*r

where pi = 3.14 approximately. We can use a bit of algebra to find the radius r when we are given the circumference C = 628

So,

C = 2*pi*r

628 = 2*3.14*r

628 = 6.28*r

6.28r = 628

r = 628/6.28

r = 100

The radius is 100 feet. Keep in mind that this is an approximate value considering that pi = 3.14 is approximate.

Now we're told that the boat is moving 4 ft per second along the radius. We'll use the distance = rate*time formula to find out how long it will take us to go from the edge fo the center.

distance = rate*time

100 ft = (4 ft per sec)*(x seconds)

100 = 4x

4x = 100

x = 100/4

x = 25

It takes about 25 seconds for the boat to go from the edge to the center of the pond.

Again, this is an approximation due to pi = 3.14 being an approximation.