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
Answer:
20 apples
Step-by-step explanation:
First, there are 320 apples that need to be split up between the siblings. We are first working with percentages. The total amount will be 100 percent. James has 45% and his brother has 30%. 45% + 30% is 75%. We subtract that from 100% and get 25%. That means that Eden gets 25% of 320 apple's. That's 320 * .25 or 320 / 4. That is 80 apples for Eden. If she gives 75% of her 80 apples, that means she gives 60 apples away. 80*.75 = 60. Eden would then only have 20 apples left. 80-60=20.
Answer:
The big prism= 
feet squared
Each individual cube= 216 inches squared
Step-by-step explanation:
The big prism LxWxH
The individual cube = 1 foot/6 (amount of edges made of small cubes) = 2 inches.
IDK how to convert from inches to feet though cause I ain't American. Sorry.
Hope that helped!!! k
My final answer is (C) because for the side lenghts to be a right triangle, the values of the first and second terms should be equal to the third (a^2 and b^2 =c^2) hope that helped (:
Try graphing them in desmos
