In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:
</span>
In a triangle, the three interior angles always add to 180° ⇒
third angle = 180 - 90 - 67 = 23°
Answer:
67° and 23° (to the nearest degree).
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
Heres Is Your Answer Below
<em><u>70 1/3- 24 1/4=?</u></em>
<em><u /></em>
<em><u>70 4/12- 24 3/12= 46 1/12</u></em>
<em><u /></em>
<em><u>46 1/12 /2= 23 1/24</u></em>
<em><u /></em>
<u>23 1/24 Would be Your Answer</u>
<u></u>
<u>Have A Great Day!</u>
The slope-intercept form of a line is
y=mx+b
where m is the slope
b is the y-intercept
if you convert the function into an equation, then
y=4-5x
rearranging the equation
y=-5x +4
thus
m=-5 and b=4
the y-intercept of the function is 4
Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.
Step-by-step explanation:
