ଘ(੭ˊ꒳ˋ)੭✧ Sort of looking for a friend.
1 answer:
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Bearing is a topic that can be used to <u>locate</u> the <em>position</em> of an object at a given time. Therefore, the blimp is <em>80 m</em> far away from its <u>starting</u> point. And in the<em> North-East </em>direction.
The <u>speed</u> of an object relates the <em>distance</em> it covers to the <u>time taken</u> to cover the said distance.
i.e speed =
⇒ distance = speed x time taken
In the given question, the <u>initial</u> distance covered can be determined as;
distance = 40 mph x 3 h
= 120 m
The<u> final </u>distance covered can be determined as;
distance = 40 mph x 1 h
= 40 m
Let the <u>distance</u> from its <em>starting</em> point to its <em>fina</em>l location be represented by x.
Thus applying the<em> Cosine rule</em>, we have:
=
+
- 2abCos C
=
+
- 2(120 x 40) Cos 90
= 14400 + 1600 - 9600
= 16000 - 9600
= 6400
x =
= 80
x = 80 m
Therefore, the <u>distance</u> of the blimp from its <em>starting</em> point to its <em>final</em> destination is <u>80 m</u>.
For more clarifications on bearings, visit: brainly.com/question/22979472
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Answer:
Hence, (75,40) is the maximum point and maximum profit is $192.5
Step-by-step explanation:
Let the breakfast be x
And let the lunch or afternoon be y
Inequalities will become
And objective function will be
Z=1.5x+2.0y
You can see the graph in the attachement
ABCD is the feasible region
Points of feasible region is (0,90) ,(0,0) ,(75,40) and(105,0)
We have to find Z by substituting the points of feasible region
At (0,90) we get
Z=1.5(0)+2(90)
Z=180
At (0,0)
Z=1.5(0)+2(0)
Z=0
At (75,40)
Z=1.5(75)+2(40)
Z=192.5
At (105,0)
Z=1.5(105)+2(0)
Z=157.5
The maximum number we are getting is 192.5 which is at (75,40)
Hence, (75,40) is the point of maximum
