Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = 
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = 
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
=
+
- 2bcCos A
=
+
-2(5000 x 3000) Cos 105
=
+
-2(5000 x 3000) x (-0.2588)
= 2.5 x
+ 9 x
+ 7764000
= 41764000
a = 
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Answer: 1.) x - 2y = 4 , add 2y to both sides. ---> answer is, X = 2y + 4
2.) 2x - 6y = 8, Add 6y to both sides, then divide both sides by 2. --> answer is, X = 3y + 4
Answer:
6 soda's will cost $9.
Step-by-step explanation:
4 soda's costs $6.
Find the amount 2 soda's will cost. Divide 2 from both sides.
(4)/2 = 2
(6)/2 = 3
2 soda's will cost $3.
Now, solve for the cost for 6 soda's by multiply 3 to both sides.
2(3) = 6
3(3) = 9
6 soda's will cost $9.
~
First, you know that B is the mid point, meaning AB is equal to BC. Therefore, you can set up the equation: x+5=2x-11. Then, you solve for x. Once you are done solving, you should get 16. Hope this helps!
Answer:
Numbers are 8 and 10
Step-by-step explanation:
10 + 8 = 18