Use the squeeze theorem; if
1 - <em>x</em> ²/4 ≤ <em>u(x)</em> ≤ 1 + <em>x</em> ²/2,
then taking the limit on each part as <em>x</em> approaches 0 gives
1 ≤ lim [<em>x</em> → 0] <em>u(x)</em> ≤ 1
and so the limit of <em>u(x)</em> as <em>x</em> → 0 is simply 1.
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.
Answer:
A is 157 B is 157 and F is 42
Step-by-step explanation:
i am not 100% sure but i am like 80% sure
Answer:
2^-15 or 1/2^15
Step-by-step explanation:
3*-5 is -15 so that makes it 2^-15
Apply the exponent rule a^-b = 1/a^b
That changes it to 1/2^15
Hope this helped! :)
Answer:
They are both the same triangle, with different dilations
Step-by-step explanation:
(I hope this is right, I wasn't quite sure of the context)
