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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Answer:
245°
Step-by-step explanation:
the bearing is 180° + 65° = 245°
GIVEN:
We are given two points on a line and these are;
Required;
We are required to determine the slope of the line passing through these points.
Step-by-step solution;
The slope of a line is given by the formula;
The variables are;
We can now substitute these into the formula and then simplify;
ANSWER:
The slope of the line passing through the given points is;
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
I think
Answer:
8, 13, 18
Step-by-step explanation:
Its adding 5 each time so it ends up at positive values all the way up to 18
