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°.
Answer:
Mean = 58.25
Median = 57.5
Mode = 49
Step-by-step explanation:
We are given the following data set:
55, 51, 74, 61, 67, 60, 49, 49
Formula:
Sorted data:
49, 49, 51, 55, 60, 61, 67, 74
Mode is the entry with highest frequency.
49 appeared two times.
Mode = 49
Formula:
All these are less than 60 seconds, which indicates that students perceive 1 minute to pass sooner than it actually has.
Answer:
their sum: 2.8m
their difference: 1.2m
the third side's length should be smaller than their sum, larger than their difference
it could be: 1.3-1.4-1.5-1.6-1.7-1.8-1.9-2-2.1-2.2-2.3-2.4-2.5-2.6-2.7 but since it has to be a whole number, 2m is the only eligible answer.
12 - 2x < 16
-2x < 4
x > -2
x=-2 is a vertcal line passing through x = -2
x > -2 will be this line ( dotted) and shaded to the right
Answer:
y equals one fourth times x minus 16
y = 4x − 16
Step-by-step explanation:
this is because you're taking the time it took to get there minus 16 because of the delay
