Given:
In triangle ABC, a = 6, c = 4, and B = 75°.
To find:
The measure of b.
Solution:
According to the Law of Cosine:
Substituting the given values in the above formula, we get
Taking square root on both sides, we get
The measure of side b is 6.29 units.
Therefore, the correct option is B.
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one-half=
one-fifteenth=
To multiply fractions, you multiply the numerator (top number) by the numerator (top number and the denominator (bottom number) by the denominator (bottom number).
Numerator: 1×1=1
Denominator: 2×15=30
So the product of one-half times one-fifteenth is one over thirty.
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Answer:
Step-by-step explanation:
<u>Use two ordered pairs from the table to find the slope of f(x):</u>
- (-4, - 9) and (6, 6)
- m = (6 - (-9)) / (6 - (-4)) = 15/10 = 1.5
<u>Find the equation of f(x) using point-slope form:</u>
- y - y₁ = m(x - x₁)
- y - (- 9) = 1.5(x - (-4))
- y + 9 = 1.5(x + 4)
<u>The y-intercept is the value of y when x = 0:</u>
- y + 9 = 1.5*4
- y + 9 = 6
- y = - 3
<u>Use two points on the graph and find the slope of g(x):</u>
- (0, 4) and (1, - 3)
- m = (- 3 - 4) / 1 = - 7
<u>Find the required sum:</u>