Answer:
# 1 Liam is 171 miles from Troy.
#2 The ball bounces 6 times.
Step-by-step explanation:
#1 adding 147 to 47 equals 171. If Liam and Sidney are 124 miles apart and Troy is 47 more miles apart from Liam then it is adding the distance already given to the distance he is from Sidney since she is in the middle.
#2 from 40 to 20 to 20 to 10 from 10 to 5 from 5 to 2.5 from 2.5 to 1.25. Just divide by 2 till it is 2 or less than feet.
I've drawn a triangle to represent the journey (see attached.
The angle from Home to Victim to Hospital is:
a =

Using the cos rule, we can solve for the length x:

Using the cos rule, we can solve for angle b:

So the bearing the helicopter has to travel is:
270 - 76.1 =
<u>
193.9 degrees (1 dp)</u>
And the distance it travels is
<u>31.2 km (1 dp)</u>
There are 104 boys and 91 girls. 104+91=195 104:91 = 8:7
Answer:
- plane: 550 mph
- wind: 50 mph
Step-by-step explanation:
If p and w represent the speeds of the plane and wind, respectively, the speed into the wind is ...
p - w = (3000 mi)/(6 h) = 500 mi/h
And, the speed with the wind is ...
p + w = (3000 mi)/(5 h) = 600 mi/h
Adding these two equations gives us ...
2p = 1100 mi/h
p = 550 mi/h . . . . . . . divide by 2
Then the wind speed is ...
w = 600 mi/h - p = (600 -550) mi/h
w = 50 mi/h
The rate of the plane in still air is 550 mi/h; the rate of the wind is 50 mi/h.