Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
Answer:
The answer is C: 75
Step-by-step explanation:
The constant is found by multiplying your height and width, so thats really all you do.
25x3=75
15x3=75
3x15=75
25x3=75
75 would be the constant.
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➷ 5 + 3 + 3 + 4 = 15
5/15 * 5/15 = 25/225
This can be simplified to 1/9
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Answer:
-3/4
Step-by-step explanation:
(y2 - y1) / (x2 - x1) is the equation for finding slope! All you have to do is plug in the numbers! Hope this helps :)
Work:
5-2/-4-0
3/-4
Answer:5,828
Step-by-step explanation: