Answer:
73 and 113 / 144 ft^2
Step-by-step explanation:
Lets convert everything into pure feet.
10ft 5in = 10 and 5/12 feet = 125/12 feet
14ft 2in = 14 and 1/6 feet = 85/6
Now lets calculate area:
1/2 * 125/12 * 85/6 = 125*85 / 144 = 73 and 113/144
Answer:
325 mph and 420 mph
Step-by-step explanation:
If the speed of the slower plane is x, then the speed of the faster plane is x + 95.
The distance traveled by the slower plane is 3x.
The distance traveled by the faster plane is 3(x + 95).
The total distance is 2235 miles.
3x + 3(x + 95) = 2235
3x + 3x + 285 = 2235
6x = 1950
x = 325
x + 95 = 420
The speed of the planes is 325 mph and 420 mph.
Answer:
4.5 minutes per 1 lap.
Step-by-step explanation:
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
3/4 is 9 inches. 1/2 is 6 inches. 1/3 is 4 inches.
All together is 19 inches.
