9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
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(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
Answer:
7:24 pm
Time taken will be longer
Step-by-step explanation:
Given that:
Distance between Manchester and London = 195 miles
Departure time = 3.30 pm
Average speed of Coach = 50 mph
Arrival time in London :
Time taken = distance / speed
Time taken = 195 / 50 = 3.9 hours (3 hours (0.9 * 60) = 3 hours 54 minutes
= 3:30 pm + 3 hours 54 minutes = 7:24 pm
If the speed is Lower then the Timetaken will be longer and subsequently coach will arrive after 7:24 pm
Answer:
Step-by-step explanation:
3/4 + 3/4 = 6/4 = 1 1/2= 1.5 (this is one hour)
1.5 x 2 = 3
she can walk 3 miles in 2 hours.
Distance = rate x time
distance = 60 miles per hour x 7 1/2 hours
distance = 450 miles
The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21. 34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):