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:
k=8
Step-by-step explanation:
We can solve using the slope formula
m= (y2-y1)/(x2-x1)
3/5 = (k-2)/(4- -6)
3/5 = (k-2)/(4+6)
3/5 = (k-2)/10
Multiply each side by 10
10*3/5 = (k-2)/10 *10
6 = k-2
Add 2 to each side
6+2 = k-2+2
8 = k
Answer:
1.18
Step-by-step explanation:
Answer:
Step-by-step explanation:
20%
Answer:
4.6%.
Step-by-step explanation:
The probability that a can of paint contains contamination(C) is 3.23%
P(C)=3.23%
The probability of a mixing(M) error is 2.4%.
P(M)=2.4%
The probability of both is 1.03%.

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. 
In probability theory:

The probability that a randomly selected can has contamination or a mixing error is 4.6%.