Cos y = 16 / 17.89 = 0.8944
y = cos^-1 (0.8944) = 26.57°
tan 26.57 = BA / 17.89
BA = 17.89 tan 26.57 = 8.95
tan x = 17.89 / 8.95 = 1.999
x = arctan 1.999 = 63.43
sin x = sin 63.43 = 0.8944
Yes, everyone will have a spot on a 3 person team.
114/3 = 38
hope this helped!
In the figure assume that the circle are mutually tangent and that the circle with centre at A has radius 1. The lines AB and AC are tangent to the circle with centre O at B and C respectively. If the area of the shaded region is π/4, the radius of the circle centered
Let, ∠CAB=θ
Then, area of sector,
360
θ
π(1)
2
=
4
π
θ=90
∘
Now, the line joining the centre of the circle bisects the angle formed between two tangets, hence, ∠CAO=45
∘
Now, In △AOC
∠ACO=90
∘
(Angle between the tangent and the radius)
sin45=
AO
OC
2
1
=
r+1
r
r+1=r
2
r=
2
−1
1
(Rationalizing)
r=
2
+1
Step-by-step explanation:
please mark me as brainlist please
Answer:
y=2/5x-7
Step-by-step explanation:
2x−5y=35
Step 1: Add -2x to both sides.
2x−5y+−2x=35+−2x
−5y=−2x+35
Step 2: Divide both sides by -5.
-5y/5=-2x+35/-5
y=2/5x-7
I am pretty sure it is B...
