Hi,
cos 60°=x/y=1/2==>2x=y
Pythagore says x²+12²=y²==>144+x²=4x²
==>3x²=144
==>x²=48
==>x=4√3
Answer:
yes it is proportional because you don't buy the popcorn
Answer:
30 milk chocolates
Step-by-step explanation:
We can set up the equation like this: 3*x=18
So we can solve that by 18/3 = 6
Now the mile chocolates are 5x, so if you multiply 5 by 6, you get 30
Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
Answer:
x=10
Step-by-step explanation:
P+S=140
(5x+30)+80=140
5x+30=80
5x=50
x=10