Answer:
6
Step-by-step explanation:
Answer:
S80.6°W
Explanation:
From the diagram:
• Niagara Falls to Denver, a = 244 millimeters
,
• Niagara Falls to Orlando, b = 187 millimeters
,
• Denver to Orlando, c = 282 millimeters
To find the bearing of Denver from Niagra falls, the first thing is to find the angle at Niagra Falls(C) using the Law of Cosines.
Angle C is opposite side c.
From the law of cosines:

We solve the equation for the value of angle C:

Recall that Orlando is due South of Niagara Falls.
Thus, the bearing of Denver from Niagara Falls is S80.6°W.
Answer:
x= 0.965
Step-by-step explanation:
the question if from trigonometry chapter
here with the formula I shared below
opposite/hypotenuse = sin( 16° )
opposite,x = sin( 16° )*3.5
0.965
The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
_____
Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x)
-8x² - 3x + 5 + 2x² + 7x - 5
-8x² + 2x² - 3x + 7x + 5 - 5
-6x² + 4x + 0
-2x(3x - 2)