The value of the angle ∠AVB is 53°, side VB = 132.83 m, side OV = 119 m
<h3>How to find the side length from bearings?</h3>
8) From the given triangle we see that;
∠VAO = 37°
∠VBO = 64°
∠VOA = 90°
a) Now, we know that sum of angles in a triangle is 180°. Thus, for triangle AVO, we can say that;
∠VAO + ∠VOA + ∠AVB = 180°
37 + 90 + ∠AVB = 180°
∠AVB = 180° - 127°
∠AVB = 53°
b) Using triangle rules we can say that;
tan 64 = VO/BO
Similarly, we can say that;
tan 37 = VO/(100 + BO)
Dividing both equations gives;
tan 64/tan 37 = (100 + BO)/BO
2.72BO = 100 + BO
1.72BO = 100
BO = 58.14 m
Using trigonometric ratio;
58.14/VB = cos 64
VB = 132.83 m
c) OV/132.83 = sin 64
OV = 132.83 * sin 64
OV = 119 m
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Answer:
-89/250
Step-by-step explanation:
as a simplfied fraction
The answer is C. -1+-6=-7, not 7.
Answer:
21m
Step-by-step explanation:
So for the rectangle, do 5*6, and you will get the area of the whole backyard. Then to get the area of the grass, you do 3*3 to get 9.
Finally, to get the cement, you subtract the area of the grass from the area of the whole backyard so 30-9 to get 21.
5*6=30
3*3=9
30-9+21
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K(x) = (1/2)ˣ
Since a (=1/2) is < 1, this exponential function is decreasing .
y-intercept for x = 0
k(x) =(1/2)⁰ → k(x) =1, then y-intercept = 1
Horizontal Asymptote:
lim k(x) = (1/2)ˣ = 0
x→∞
Horizontal asymptote x = 0
