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
-10/8 and + 15/8. Those should work.
Answer:
(a)8.0mg
(b)36.87 hours
(c)-0.168
Step-by-step explanation:
The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function (t in hours)
(a)After 12 Hours
(b)If A(t)=5mg
Then:
(c)
(7, -2).
Reflection will remain the same distance with the symmetrical line.
The nearest hundred would be mostly the numbers "685".. We know that anything 50 and greater rounds to the next number, so since 85 > 50, we can round that up to 700. Adding the 5000, it would be 5700