Question

can someone please help me with algebra 2b? i will medal AND fan!!

(picture posted below)

Answer 1

Very often a picture is helpful.

Answer 2

i dont get what your trying to show me..

Answer 3

First, let's figure out what we need to do.
The drawing will help.

Answer 4

what do we do first?

Answer 5

The satellite goes around the Earth in 24 hours.
If we can find the distance of its orbit, then we will have a distance and a time, and we can find its speed.

Answer 6

The distance is the circumference of the large circle in the drawing.

Answer 7

r is the radius of the Earth, which you are given.
d is the distance of the satellite from the Earth. You are also given this.
If you add r and d, you will have the radius of the circle which is the orbit of the satellite.

Answer 8

Then using the radius of the orbit, you can find the circumference of the orbit. That is the distance the satellite travels in 24 hours.

Answer 9

First step, let's find the radius of the orbit.
R = r + d = 6400 km + 35,800 km = 42,200 km

So far you understand?

Answer 10

We have a circle with a 42,200 km radius. What is the circumference of the circle?

Answer 11

Are you still there?

Answer 12

yep:)

Answer 13

sorry i was away for a while..:/

Answer 14

I also had to go away, but now I'm back.

Use the radius of the orbit of the satellite to find the circumference of the orbit.
The circumference of a circle is
\(C = 2 \pi r\)
The radius of the orbit is 42,200 km.

\(C = 2 \times 3.14159 \times 42,200~km\)
C = 265,150 km

That means the satellite travels 265,150 km in 24 hours.
Since we have a distance and a time, we can find a speed.

\(speed = \dfrac{distance}{time} \)

\(speed = \dfrac{265150~km}{24~hours} \)

\(speed = 11,048 ~km/h\)

Answer 15

Now multiply each amount of time given in the question by the speed to find how far the satellite travels in each period of time.