The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
Read more about law of cosines at:
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4.5w = 5.1w -30
4.5w - 5.1w = 5.1w - 5.1w -30 (subtracted 5.1w on both sides)
4.5w - 5.1w = -30 (next combine like terms)
-0.6w = -30 (next do the inverse operation of w)
w = -30 ÷ -0.6
w = 50 (it became positive cause minus and minus = positive)
so your final answer is: w = 50
Hope that helps:D
Number 2. x=5/3 and y=5
number 4. x=7/3 and y=-5
that's all i could answer. and for number 1 x=-3
6/8 because she painted half of her room in 3/4 of an hour and add half of that and you get 6/8! Hope this helps! Im not very good at math so don't judge me if its wrong...
= Answer:
Step-by-step explanation:
interest= 3500 * 6 * 6.9* 1/100
= 4949
Final value = £ 3500 + 1449
= 4949
