A) The larger and small triangles are similar, so
8/10 = x/15
x = (8*15)/10 = 12
b)find the altitude x
tan 40 = x / 5
x = 5 tan 40 = 4.195
By Pythagoras theorem:-
y = sqrt ( 4.195^2 + 11^2)
y = 11.8 to 3 significant figures
Answer:
1/10
13/100
4/5
12/25
3/10
63/100
3/5
51/200
2/9
5/11
To prove the last 2 recurring ones:
0.222222... = x
10x = 10 * 0.22222... = 2.222222....
Notice how the decimal part of 10x is the same as for x:
10x - x = 2.2222222... - 0.222222... = 2
10x - x = 9x = 2
x = 2/9
Same procedure for the other one but times by 100 instead:
x = 0.454545...
100x = 45.454545...
100x - x = 45.454545... - 0.454545... = 45
100x - x = 99x = 45
x = 45/99 = 5/11
Answer:
133.04 is the approximate answer
Answer:
9 gallon of gas
Step-by-step explanation:
When distance covered is 378 miles, they have used 14 gallons of gas
We need to find how much gas will they need to finish the trip if 243 miles left to drive on the trip.
378 miles = 14 gallons of gas
For 1 mile,
1 gallon of gas is used for 
For 243 miles,

Hence, for 243 miles 9 gallon of gas is used.
50 miles or 20 yards but it doesn't matter