Answer: 12) 34° 13) 90°
<u>Step-by-step explanation:</u>
12) Given: a = 10.2, b = 6.8, A = 122°
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Law of Cosines: a² = b² + c² - 2bc · cos A
<em>Note: The letters can be swapped</em>
13) Given: a = 3, b = 4, c = 5, C = ???
3² = 4² + 5² - 2(4)(5) · cos C
9 = 16 + 25 - 40 cos C
9 = 41 - 40 cos C
-32 = -40 cos C
0.8 = cos C
90° = C
Answer:
Step-by-step explanation:
Ok, let's do this step by step....
Let's first simplify the x's:
Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.
Now, we can rewrite this as the following and solve the bottom part:
The solution is
Answer:
a. 8, 14, 20
x=5 when y=11
Step-by-step explanation:
Just subsititute the x in the equation with the number that represents x.
Simplify the following:(9 y)^2/(3 (3 y)^2 y^4)
Multiply each exponent in 3 y by 2:(9 y)^2/(3×3^2 y^2 y^4)
3^2 = 9:(9 y)^2/(3×9 y^2 y^4)
Multiply each exponent in 9 y by 2:(9^2 y^2)/(3×9 y^2 y^4)
9^2 = 81:(81 y^2)/(3×9 y^2 y^4)
(81 y^2)/(3×9 y^2 y^4) = y^2/y^2×81/(3×9 y^4) = 81/(3×9 y^4):81/(3×9 y^4)
3 | 2 | 7 | 8 | 1- | 6 | | 2 | 1- | 2 | 1 | | 0:27/(9 y^4)
27/9 = (9×3)/9 = 3:Answer: 3/y^4