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:
m∠1 = 110° and m∠2 = 70°
Step-by-step explanation:
m∠1 = 110° since vertical angles
To find m∠2, m∠1 and m∠2 must add to 180°
m∠1 + m∠2 = 180°
110° + m∠2 = 180°
m∠2 = 70°
Answer: Volume = 48
Step-by-step explanation:
V = L * W * H
V = 4 * 6 * 2
V = 48
Answer:
$871068.25
Step-by-step explanation:
Given the base of starting the business is $54300 and the total sale after the business is $950000.
Therefore, the profit of the business is $(950000-54300) = $895700.
Now, the commission has to be deducted from the profit at the rate of 2.75% of the profit.
Hence, total profit of the business is given by
895700 [1 -
] = $871068.25 (Answer)
<h3>A is the answer EEEE</h3>