Answer: 16.91°
Step-by-step explanation:
1. You can draw a right triangle as you can see in the figure attached.
2. Then you can calculate the angle of elevation (α) as following:
Where:
3. Now you must substitute these values. Then, the angle of elevation is:
<h3>
Answer: 3 units</h3>
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Explanation:
The y coordinates are identical, so we just need to focus on the x coordinates.
Going from 0 to -3 is a distance of 3 units. Drawing out a number line might help.
Or we could apply subtraction and absolute value
|x1-x2| = |0-(-3)| = |0+3| = |3| = 3
which is the same as
|x2-x1| = |-3-0| = |-3| = 3
The absolute value is to ensure the result is never negative. Distance is never negative.
Side note: if the y coordinates weren't the same, then we'd have to use either the pythagorean theorem or the distance formula.
The probability that you will wait for at most 5 seconds is 6.7%
<h3>How to determine the probability?</h3>
The given parameters are:
Green = 40
Yellow = 5
Red = 30
When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.
The probability is then calculated as:
P(Yellow) = 5/(40 + 5 + 30)
Evaluate
P(Yellow) = 6.7%
Hence, the probability that you will wait for at most 5 seconds is 6.7%
Read more about probability at:
brainly.com/question/15246027
#SPJ1
Answer:
12
Step-by-step explanation:
Answer:
418 4/10
Step-by-step explanation:
To answer this we subtract 450 7/10 from 869 1/10.
We must borrow a '1' from 869 1/10: 868 11/10
Now subtract 450 7/10 from 868 11/10:
418 4/10 (CHANGE IN ELEVATION)
This reduces to 418 2/5.
