Answer:
<K = 34.8°
Step-by-step explanation:
sin K = 4/7
K =
(4/7)
<K = 34.8°
Answer:
![\large\boxed{\dfrac{4\sqrt3}{19}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B4%5Csqrt3%7D%7B19%7D%7D)
Step-by-step explanation:
![\text{Geometric mean of}\ x\ \text{and}\ y:\ \sqrt{xy}\\\\\text{We have}\ x=\dfrac{4\sqrt2}{19}\ \text{and}\ y=\dfrac{6\sqrt2}{19}.\\\\\text{Substitute:}\\\\\sqrt{\left(\dfrac{4\sqrt2}{19}\right)\left(\dfrac{6\sqrt2}{19}\right)}=\sqrt{\dfrac{24(\sqrt2)^2}{19^2}}=\sqrt{\dfrac{(24)(2)}{19^2}}=\dfrac{\sqrt{48}}{\sqrt{19^2}}=\dfrac{\sqrt{(16)(3)}}{19}\\\\=\dfrac{\sqrt{16}\cdot\sqrt3}{19}=\dfrac{4\sqrt3}{19}](https://tex.z-dn.net/?f=%5Ctext%7BGeometric%20mean%20of%7D%5C%20x%5C%20%5Ctext%7Band%7D%5C%20y%3A%5C%20%5Csqrt%7Bxy%7D%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%20x%3D%5Cdfrac%7B4%5Csqrt2%7D%7B19%7D%5C%20%5Ctext%7Band%7D%5C%20y%3D%5Cdfrac%7B6%5Csqrt2%7D%7B19%7D.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%5Csqrt%7B%5Cleft%28%5Cdfrac%7B4%5Csqrt2%7D%7B19%7D%5Cright%29%5Cleft%28%5Cdfrac%7B6%5Csqrt2%7D%7B19%7D%5Cright%29%7D%3D%5Csqrt%7B%5Cdfrac%7B24%28%5Csqrt2%29%5E2%7D%7B19%5E2%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B%2824%29%282%29%7D%7B19%5E2%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B48%7D%7D%7B%5Csqrt%7B19%5E2%7D%7D%3D%5Cdfrac%7B%5Csqrt%7B%2816%29%283%29%7D%7D%7B19%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%7B16%7D%5Ccdot%5Csqrt3%7D%7B19%7D%3D%5Cdfrac%7B4%5Csqrt3%7D%7B19%7D)
The answer is 420. I simply typed 8.4/0.02 into a calculator.
Factors of 26 are 1, 2, 13, 26 all you have to do is figure out which numbers can go until a number and in this case the number is 26.
Answer:
If Y was the center, it wouldn't be possible for a circle to pass through all 3 points; L, M and N. Statement 4 is the true answer, as it is possible for a circle to pass through all 3 points; D, E and F if Y was the center. Also, Y is the circumcenter of triangle DEF, so this statement must be true.