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>.
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Answer:
x = -10, -8
Step-by-step explanation:
x^2+18x+80=0
Subtract 80 from each side
x^2+18x=-80
Take the coefficient of x
18
Divide by 2
18/2 = 9
Square it
9^2 =81
Add 81 to each side
x^2+18x +81=-80+81
(x+ 9) ^2 = 1
Take the square root of each side
sqrt((x+ 9) ^2 )=±sqrt( 1)
x+9 = ±1
Subtract 9 from each side
x+9-9= -9 ±1
x = -9+1 x = -9-1
x = -8 x = -10
Answer:
The price of the stock in the beginning of the day was $26.5.
Step-by-step explanation:
This question can be solved using a rule of three.
The initial stock of the company, that we want to find, was 100% = 1.
$27.03 is an increase of 2%, so it is 100+2 = 102% = 1.02%. So
$27.03 - 1.02
$x - 1



The price of the stock in the beginning of the day was $26.5.