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°.
Step-by-step explanation:
You mean the answer is - 14
So - 14 + (-4) =
- 14 - 4 = 18
Answer:
a). 0
Step-by-step explanation:
f(1) = 1 - 1
= 0
Answer:
Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.
Step-by-step explanation:
Answer:
Median = 13
Step-by-step explanation:
We are given the following data:
16, 15, 13, 12, 17, 14, 11, 9, 11
Formula:
Sorted data: 9, 11, 11, 12, 13, 14, 15, 16, 17
Median =
Thus, the median of the given data is 13.
