Answer:
13
Step-by-step explanation:
Have a good day
The length is 13 for your answer
Answer:
4(x+4)
Step-by-step explanation:
Find to GCF of 4x+16.
Now factor out the GCF by dividing each term in the expression by 4.
4x divided by the GCF is x, and 16 divided by the GCF is 4.
The equivalent expression is 4(x+4).
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
Step-by-step explanation:
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