Correct answers only please! Do the ratios 12/6 and 10/5 form a proportion?
1 answer:
You might be interested in
Amount to be paid back = $ 88,624.36
<u>Step-by-step explanation:</u>
Principal amount = $ 40,000
Rate of interest = 7.5%
Number of years = 11
Plugin the values as,
Your answer is 75°.
To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:
b² = a² + c² - 2×a×c×cos(B)
b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)
b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5
b² = 8 - 2 = 6
b = √6
Then you use this length in the sine rule, and find the angle:
sin(A) = (√6 + √2)/4
A = 75
I hope this helps! Let me know if you have any questions