Applying the trigonometric ratios, the equations that can be used are:
sin 45 = BC/9
cos 45 = BC/9
<h3>How to Apply the Trigonometric Ratio?</h3>
In the given image below, to find the unknown lengths of the triangle, we would apply the following trigonometric ratios:
To find AC, use the cosine ratio, CAH.
To find BC, use the sine ratio, SOH.
sin 45 = opp/hyp = BC/9
sin 45 = BC/9
cos 45 = adj/hyp = BC/9
cos 45 = BC/9
Learn more about the trigonometric ratios on:
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3(2b + 3)² = 36
Divide both sides by 3.
3(2b + 3)² / 3 = 36/3
(2b + 3)² = 12
Take the square root of both sides.
√(2b + 3)² = √12
(2b +3) = +√12 or -√12
Solving when:
2b + 3 = +√12 2b + 3 = -√12
2b = √12 - 3 2b = -√12 - 3
b = (√12 - 3)/2 √12 ≈ 3.46 b = (-√12 - 3)/2
b ≈ (3.46 - 3)/2 b ≈ (-3.46 - 3)/2
b ≈ 0.46/2 b ≈ -6.46/2
b ≈ 0.23 b ≈ -3.23
Therefore b ≈ 0.23 or -3.23
Hope this helps.
Answer:
25 = x
Step-by-step explanation:
If the angles are congruent, they are equal
5x+15 = 6x-10
Subtract 5x from each side
5x+15 -5x = 6x-5x-10
15 = x-10
Add 10 to each side
15+10 = x-10+10
25 = x
Increase means add product means multiply
Wx8+15 it should be something along the lines of this
