Given: Tangents LA and LB m∠AOB=110° Find: m∠ALO.
1 answer:
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Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
x=4 y=5
if we put two pharases together
the answer is as follows pic :
x=4 y=5
Answer: (-2,-5)
Step-by-step explanation:
The rotation rule for rotating a figure about is given by :-
, where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)
Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).
If the triangle is rotated 270° about point N
Then, the coordinates of M , will be :
(Using the rule described in (1))
Hence, the coordinates of M after rotated 270° about point N=(-2,-5).