Answer:
The distance traveled to return directly to the starting point = 34 miles.
Step-by-step explanation:
Given:
Distance covered in north = 16 miles
Distance covered in east = 30 miles
We have to find the displacement (the shortest distance).
Or
Distance traveled to return directly back to the starting point.
Let the origin be O
and the distance covered in north be ON and distance covered from right to the east is NE.
Move rightward from N point to the right that is towards east direction.
N is a northern point and E is the eastern point.
ON =
miles
NE =
miles
We can imagine that it forms a right angled triangle making 90 (deg) at N by joining E with O
,where OE is the
hypotenuse.
Applying Pythagoras formula.
Where,
Hypotenuse = 
The distance traveled in returning back to the starting point is equivalent to the measure of the hypotenuse.
So,
Hypotenuse = 
= 
= 
=
miles
So the distance traveled to return directly to the starting point = 34 miles.
Answer:
37.5% probability of the spinner landing on the number that's greater than five
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 8 total sections, from 1 to 8.
3 of those sections, 6, 7 and 8, are numbers that are greater than five.
3/8 = 0.375
37.5% probability of the spinner landing on the number that's greater than five
Answer:1/2
Step-by-step explanation:
3/6 =1/2
Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7