The point (-1, -4) lies in the third quadrant
Answer:
5/13
Step-by-step explanation:
Sine is equal to the length of the opposite side divided by the length of the hypotenuse, while cosine is equal to the length of the adjacent side divided by the hypotenuse. Since you know that the opposite side has length 12 and the hypotenuse has length 13, you can use the pythagorean theorem to find that the length of the third (adjacent) side is Therefore, the cosine of that angle is 5/13. Hope this helps!
I think for the question above, instead of 2 · 3^2 · 7 it is <span>2 · 3^2 · 5.
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Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5 (note 2 squared & 3 squared).
Now, to choose the GCF, you choose, for each base factor in either number, the least exponent-ed one; so the GCF needs a factor 2, a factor 3, and a factor 5. Thus the GCF is 30 (their product). [i.e,2 squared is not a common factor]
<span>To create the LCM, you choose, for each base factor in either number, the greatest exponented one. Thus, LCM needs a factor 2 squared, 3 squared, and 5, giving LCM = 4(9)(5) = 180.</span><span />
Answer: 7/12
Step-by-step explanation:
1/3 + 1/3 = 2/3
2/3 - 1/3 = 1/3 (Rearrange the denominator together)
= 1/3 + 1/4
(Multiple 1/3 by 4 for the numerator and the denominator)
(Multiply 1/4 by 3 for the numerator and the denominator as well)
= 4 + 3 / 12
=7/12
Answer:
C. 18 meters
Step-by-step explanation: