Answer:
5 hours
Step-by-step explanation:
Speed = 2 7/ 10 miles per hour
From the chart attached :
Distance between historic village and science center : (-4 1/2, 5 1/4) to (-4 1/2, -1 3/4)
Taking the sum of the absolute value of the y coordinate :
|5 1/4| + |-1 3/4| = 5 + 1 + 1/4 + 3/4 = 7
From science center to museum :
(-4 1/2, - 1 3/4) to (2, - 1 3/4)
Taking the sum of the absolute value of the x coordinate :
|4 1/2| + |2| = 4 + 2 + 1/2 = 6 1/2
Total distance traveled = 7 + 61/2 = 13 1/2 miles
Time taken = Distance / speed
Time taken = 13 1/2 ÷ 2 7/10
Time taken = 27/2 * 10/27
Time taken = 10/2
Time taken = 5 hours
Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,
Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get
Taking square root on both sides, we get
[∵Side length cannot be negative]
Therefore, the length of the missing side for the given right angle triangle is 8.06 units.