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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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Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.
<h3>What are Caleb's bank fees?</h3>
The question is incomplete so I will use a similar question to answer it.
Caleb's fees at Neobank would be:
= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee
= 0 + 0 + 6 + 5
= $11
Caleb's fees at Arbor Bank:
= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee
= $15.70
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The slope of line passing through given points is: 2
Step-by-step explanation:
Let us define slope first
Slope is the steepness of a line
Slope is denoted by m
The formula for slope is:
Given points are:
(2,1) (-1,-5) and (3,3)
We will takes any two points to find the slope of the line passing through the points
So we take
(2,1) = (x1,y1)
(-1,-5) = (x2,y2)
Putting the values in the formula
The slope of line passing through given points is: 2
Keywords: Slope, lines
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