Answer:
6mile + hour + 3.5 hours + miles
Step-by-step explanation:
add the expressions
Answer:
<h3>Domain [
-3 , ∞ ]</h3>
Step-by-step explanation:
Domain is the set of all inputs for which the given function is defined.
graphically it represents the shadow of the graph taken on the x axis from above and below the x axis
Here is the shadow will be formed from -3 till +∞, hence we have our domain as [-3 , ∞ ]
Okay, 72 degrees is equal to (5x-98), so
72=5x-98
5x=170
x=34
So now that we know that x=34, we can put 34 into (5x-98), so 170-98
170-98 and y are supplementary, so they add up to 180 degrees. So the equation is
170-98+y=180
72+y=180
y=180-72
y=108
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°.
