9514 1404 393
Answer:
C - 24 square root of 2
Step-by-step explanation:
In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.
d² = s² + s² . . . . square of hypotenuse is sum of squares of sides
d² = 2s²
d = s√2 = (24 ft)√2 = 24√2 ft
Answer:
BD=5.5
Step-by-step explanation:
11 divided by 2 gives you the answer
Answer:
Step-by-step explanation:
![\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%3D%5Csqrt%7B2%2A3%2A3%7D%3D3%5Csqrt%7B2%7D)
![\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B12%7D%3D%5Csqrt%7B2%2A2%2A3%7D%3D2%5Csqrt%7B3%7D)
![A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B2%7D%2B%5Csqrt%7B18%7D%5C%5C%5C%5C%3D%5Csqrt%7B2%7D%2B3%5Csqrt%7B2%7D%5C%5C%5C%5C%3D%281%2B3%29%5Csqrt%7B2%7D%5C%5C%5C%5C%3D4%5Csqrt%7B2%7D)
![B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}](https://tex.z-dn.net/?f=B%3D%5Csqrt%7B3%7D%2B%5Csqrt%7B12%7D%3D%5Csqrt%7B3%7D%2B2%5Csqrt%7B3%7D%5C%5C%5C%5C%20%20%3D%20%281%2B2%29%5Csqrt%7B3%7D%5C%5C%5C%5C%20%20%3D%203%5Csqrt%7B3%7D)
![\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7BB%5E%7B2%7D%2BA%5E%7B2%7D-2%2AB%2AA%7D%3D%5Csqrt%7B%28B-A%29%5E%7B2%7D%7D%5C%5C%5C%5C%3DB-A%5C%5C%5C%5C%3D3%5Csqrt%7B3%7D-4%5Csqrt%7B2%7D)
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Answer:
x = 20º
Step-by-step explanation:
we know that sin x = cos(90-x)
Hence
sin 30º = cos(90 - 30)º
sin 30º = cos 60º
hence sin 30º can be also written as cos 60º
Also, as given
sin 30º = cos(3x)
therefore
cos 60º = cos(3x)
as we have cos on both side then angle for both side will be same
60º = 3x
=> 60º / 3 = x
=> x = 20º
Then x = 20º is answer.