There are 10,000 people at a concert.
1 answer:
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Answer:
D'G' = 52.5 units
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5
D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )
G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )
Calculate D'G' using the distance formula
d =
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' =
=
=
=
= 52.5 units
Answer:
tanΘ = -
Step-by-step explanation:
Using the trigonometric identities
• sin²x + cos²x = 1, hence
cosx = ± √(1 - sin²x )
• tanx =
given sinΘ = , then
cosΘ = ±
Since Θ is in the second quadrant where cosΘ < 0, then
cosΘ = -
= - = -
tanΘ =
= × -
= -