Find slope of a line (-3,5) and (7,-9)
1 answer:
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Answer:
1. cone
radius, height = 2, 10
volume = 13.33
2. hemisphere
radius= 14
volume = 1829.33
Step-by-step explanation:
The region described has a radius r=2−y/5, therefore, the volume is a cone
radius, height = 2, 10
volume =
= 13.33
2. The region ∫14 0 π(196 - h^2) dh has a radius 196 - h^2, so the volume is a hemisphere
radius = 14
volume
=
=
=1829.33
Answer:
bearing of A from C is - 65.24°
the distance |BC| is 187.84 m
Step-by-step explanation:
given data
girl walks AB = 285 m (side c)
bearing angle B = 78°
girl walks AC = 307 m (side a)
solution
we use here the Cosine Law for getting side b that is
ac² = ab² + bc² - 2 × ab × cos(B) ...............1
307² = 285² + x² - 2 × 285 cos(78)
x = 187.84 m
and
now we get here angle θ , the bearing from A to C get by law of sines
sin (θ) =
sin (θ) = 0.5985
θ = 36.76°
and as we get here angle BAC that is
angle BCA = 180 - ( 36.76° + 78° )
angle BCA = 65.24°
and here negative bearing of A from C so - 65.24°