STAN walk 10 km to the grocery store.
He stops then walks 10 km east back to his house.
Let us draw this situation to better understand the problem.
As you can see, Stan first walked to the grocery store and covered a distance of 10 km then he came back to the house from the grocery store and covered a distance of 10 km.
So the total distance is 10 + 10 = 20 km
On the other hand, notice that Stan is exactly at the point where he first started that is his house, therefore, the displacement is 0 in this case.
Recall that the displacement is a vector quantity so the direction of travel also matters.
From house to grocery store = 10 km
From the grocery store to house = -10 km
Overall displacement = 10 km - 10 km = 0 km
Therefore,
Distance = 20 km
Displacement = 0 km
Answer:
Step-by-step explanation:For the student to be considered for the tutoring or extension activities, his/her score must be 20 points lower or higher than the average.
The average is given as 105, that means:
Minimum score to be considered = 105 - 20 = 85
Maximum score to be considered = 105 + 20 = 125
If p represents the performance of a student, then this inequality will be represented as follows:
85 ≤ p ≤125
Answer:
the submarine is 92.994 feet ≈ 93 feet deep from the surface of the water
Step-by-step explanation:
We can think in a triangle where the hypotenuse is the detection distance and the angle with the horizontal surface of water is the depression angle, then the underwater distance is the vertical side of the triangle.
If we denote Ф as the angle of depression ,d as the detection distance and x as the unknown depth of the submarine, using trigonometry:
x = d* sin Ф
thus
x= d * sin Ф = 238 feet * sin 23° = 92.994 feet ≈ 93 feet
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108
The 6th term is 108
