Answer:
Displacement = 0 mi
Distance = 164,996.45 mi
Step-by-step explanation:
In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.
When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.
The perimeter of a circle is given by the equation:

so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:

where h is the height of the satellite, so the radius of the circle is:

so
r=26,260 mi
so now we can use the perimeter equation to get:


So the distance traveled by the satellite in one day will be:
P=164,996.45 mi.
Answer:
AB/AD=1/2 AC/AE=1/2
Step-by-step explanation:
The distance between 2 points A(x1; y1) and B(x2; y2) can be calculated as:
AB= sqrt((x1-x2)²+(y1-y2)²)
So in our case AB= sqrt ((1-3)²+(4-1)²)= sqrt(2²+3²)=sqrt(13)
AD=sqrt ((-1-3)²+(7-1)²)= sqrt(4²+6²)=sqrt(52)
AB/AD=sqrt(13)/sqrt(52)= sqrt(13/52)=sqrt(1/4) =1/2
AB/AD =1/2
AC= sqrt ((5-3)²+(3-1)²)= sqrt(2²+2²)=sqrt(8)
AE=sqrt ((7-3)²+(5-1)²)= sqrt(4²+4²)=sqrt(32)
AC/AE=sqrt(8)/sqrt(32)= sqrt(8/32)=sqrt(1/4)=1/2
AC/AE=1/2
The area of the spinning board is divided into 10 equal sections.
Probability in this case will be = Area of favorable outcome/Total Area
Let the total area be A.
Area of each section will be A/10
So probability of landing on 3 will be = (A/10) / A = 1/10
So the correct answer will be option C
Answer:
-24
Step-by-step explanation: