BC is 10 units and AC is
units
Step-by-step explanation:
Let us revise the sine rule
In ΔABC:

- AB is opposite to ∠C
- BC is opposite to ∠A
- AC is opposite to ∠B
Let us use this rule to solve the problem
In ΔABC:
∵ m∠A = 45°
∵ m∠C = 30°
- The sum of measures of the interior angles of a triangle is 180°
∵ m∠A + m∠B + m∠C = 180
∴ 45 + m∠B + 30 = 180
- Add the like terms
∴ m∠B + 75 = 180
- Subtract 75 from both sides
∴ m∠B = 105°
∵ 
∵ AB = 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (BC) × sin(30) =
× sin(45)
∵ sin(30) = 0.5 and sin(45) = 
∴ 0.5 (BC) = 5
- Divide both sides by 0.5
∴ BC = 10 units
∵ 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (AC) × sin(30) =
× sin(105)
∵ sin(105) = 
∴ 0.5 (AC) = 
- Divide both sides by 0.5
∴ AC =
units
BC is 10 units and AC is
units
Learn more:
You can learn more about the sine rule in brainly.com/question/12985572
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The answer is -31 2/5<span />
Answer:
10/21
Step-by-step explanation:
After the first balloon is gone, there is only 21 balloons left with 10 being yellow. Therefore, the is a 10/21 probability that it is yellow.
Considering that the data is only noted and not changed, this is an example of an observational study.
<h3>What are observational and experimental studies?</h3>
- Experimental study: In an experimental study, there is an intervention in a sample, and it's effect is studied.
- Observational study: In an observational study, the sample is just analyzed, without any intervention.
In this problem, the data, which is the number of miles traveled, is only analyzed, no interventions are made, hence this is an example of an observational study.
More can be learned about observational studies at brainly.com/question/24321224
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