Find Slope (3,-4)and(9,-4)
2 answers:
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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.
Each of them need to work 105 minutes more in order to have packed the same number of boxes.
<u><em>Explanation</em></u>
Suppose, they need to work for minutes more in order to have packed the same number of boxes.
Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.
So, the number of boxes packed by Selma in that minutes
and the number of boxes packed by Trudy in
minutes
Given that, Selma and Trudy have already packed 12 and 18 boxes.
Now if <u>each of them packed the same number of boxes</u>, then the equation will be......
So, each of them need to work 105 minutes more in order to have packed the same number of boxes.