Bearing is a topic that deals with the <em>distance</em> and<em> location</em> of a given object with respect to a <u>reference</u> point. Thus in the given question, the ship is <u>57.23 km</u> to the yacht.
<em>Bearing</em> is a topic that considers the <u>distance</u> and <u>position</u> of a given object with respect to a<em> reference</em> point. Thus the <u>angles</u> are usually measured with <em>reference</em> to the north pole.
Thus to solve the given question, let the required <em>distance</em> be represented by x.
Applying the <em>cosine rule</em>, we have;
= + - 2ab Cos C
The angle C between the line from <u>ship to tugboat</u> and from <u>tugboat to yacht</u> can be determined as;
C = +
C =
Thus,
= + + 2(36 x 27) Cos
= 1296 + 729 + 1944(0.6429)
= 2025 + 1249.8
= 3274.8
c =
= 57.2259
c = 57.23
Therefore, the <em>distance</em> from the ship to the yacht is <u>57.23 km</u>.
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Answer:
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Step-by-step explanation:
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Answer:
Multiply 2/3 and your number. If you have a whole number, convert it to a fraction by putting it over a denominator of 1. When multiplying fractions, calculate numerator times numerator, then denominator times denominator. For example, to find two-thirds of 18, multiply 2/3 x 18/1 to get 36/3.
The direct variation that can be established using the given parameters is that, the time it takes between seeing the lightning and hearing the thunder is directly related to the speed.
However, it can also be established that the time described above is inversely proportional to the distance. This can be written as,
t = k/d
We substitute the given expression for each of the known terms. t is time, s, and d is distance, 3s.
s = k/3s
The k written in the equation is the constant of proportionality.
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6