By applying the definition of logarithm, you have
So, if you consider the cubic root of both sides, you have
![x = \sqrt[3]{64} = 4](https://tex.z-dn.net/?f=%20x%20%3D%20%5Csqrt%5B3%5D%7B64%7D%20%3D%204%20)
<h3>
Answer: Choice D) 56 degrees</h3>
How I got that answer:
Angle DCE is given to be 62 degrees. By the inscribed angle theorem, It doubles to 124 degrees, which is the measure of central angle DAE.
Note how angles DAF and DAE are a linear pair. This means they are adjacent supplementary angles. So they add to 180
(angle DAF)+(angle DAE) = 180
(angle DAF) + (124) = 180
angle DAF = 180-124
angle DAF = 56
You multiply 100 by 140%, so basically you add 40% of 100, which is 40.
We know that 1 meter is 0.001 km and that 1 minute is 60 seconds.
To transform 15m/s we into km/min we have to multiply 15 by 0.001 and multiply it by 60.
- its the answer
If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
