Find the measure of b, given m∠A = 38°, m∠B = 74°, and a = 31.
1 answer:
Answer:
b = 48.4017
Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°
Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017
Hope this helps :)
b = 48.4017
Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°
Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017
Hope this helps :)
You might be interested in
The temperature decreased by 28%
Step-by-step explanation:
How did the temperature change if :
- At first it decreased by 60%
- Then increased by 80%
Assume that the temperature before decreasing is 100%
∵ The temperature before decreasing = 100%
∵ It decreased by 60%
→ Before decreasing : decreasing : after decreasing
→ 100% : 60% : 100% - 60% = 40%
∴ The temperature after decreasing = 40%
Assume that the temperature after decreasing is 100%
∵ The temperature after decreasing = 100%
∵ It increased by 80%
By using the ratio method
→ After decreasing : increasing : after increasing
→ 100% : 80% : 100% + 80% = 180%
→ 40% : : x%
By using cross multiplication
∴ 100% × x% = 40% × 180%
- Divide both sides by 100%
∴ x% =
∴ x% = 72%
∵ At first the temperature = 100%
∵ At last the temperature = 72%
∵ The first the temperature > the last the temperature
∴ The decreasing in temperature = 100% - 72% = 28%
The temperature decreased by 28%
Learn more:
You can learn more about ratio in brainly.com/question/2707032
#LearnwithBrainly