Answer:
6.25 miles per hour
Step-by-step explanation:
Answer:
k = K^2
Step-by-step explanation:
Subtract K^2 from both sides of the equation.
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Since point Q is the midpoint of GH, that means that GH-GQ=HQ=GQ (since Q is the midpoint). Plugging them in, we get 5x-5-(2x+3)=3x-8=GQ=HQ. Since Q is the midpoint, that means that 3x-8=2x+3=GQ=HQ. Subtracting 2x from both sides as well as adding 8, we get that x=11 and 2(11)+3=25=GQ by plugging x into 2x+3
The inequality is < so 2/4 < 5/6.
