The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
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Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
The distance traveled by Mr.Nersin = 4 miles
The time for which Mr.Nersin rode first = 1/2 hour
The time for which Mr.Nersin rode after a short rest = 1/10 hour
Then
The total time for which Mr.Nersin rode = (1/2) + (1/10) hour
= (5 + 1)/10 hour
= 6/10 hour
= 3/5 hour
So
Average speed of Mr. Nersin = Distance traveled / Time taken
= 4/(3/5) miles/hour
= (4 * 5)/3 miles/hour
= 20/3 miles/hour
= 6 2/3 miles/hour
= 6.67 miles per hour
So the average speed at which Mr.Nersin traveled is 6 2/3 or 6.67 miles per hour.
Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
A/5+3=8
a+15=40
a=25
3b/7-1=5
3b-7=35
3b=42
b=14
Answer:
left 2 units, up 3 units
Step-by-step explanation:
(x-2, y+3)
-2 means 2 to the left
+3 means 3 up
So it would be left 2 units, up 3 units.
