John would play soccer for 84 minutes in one week. Just divide 60 by 5 getting you 12 and then multiply 12 by getting you 84.
Answer:
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Step-by-step explanation:
Answer:
![\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%2B%5Csqrt%20%7B2%7D%7D%7B4%7D)
Step-by-step explanation:
We can use the following trigonometrical identity:
(1)
Where
,
are angles, measured in sexagesimal degrees.
If we know that
and
, then the value of the given function is:
![\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Csin%20135%5E%7B%5Ccirc%7D%5Ccdot%20%5Ccos%2030%5E%7B%5Ccirc%7D%20-%20%5Ccos%20135%5E%7B%5Ccirc%7D%5Ccdot%20%5Csin%2030%5E%7B%5Ccirc%7D)
![\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Cleft%28%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5Cright%29-%5Cleft%28-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29)
![\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%7D%7B4%7D%2B%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B4%7D)
![\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B6%7D%7B16%7D%20%7D%2B%5Csqrt%7B%5Cfrac%7B2%7D%7B16%7D%20%7D)
![\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B3%7D%7B8%7D%20%7D%2B%5Csqrt%7B%5Cfrac%7B1%7D%7B8%7D%20%7D)
![\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B3%7D%2B1%7D%7B2%5Ccdot%20%5Csqrt%7B2%7D%7D)
![\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}](https://tex.z-dn.net/?f=%5Csin%20105%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B6%7D%2B%5Csqrt%20%7B2%7D%7D%7B4%7D)
Answer:
1536² mm
Step-by-step explanation:
16 x 16 = 256
256 x 6 = 1536 (6 = number of faces)
1536²mm
Answer:
it would be 288
Step-by-step explanation:
there are 16 ounces in 1 pound so if you took 16 x 18 it would give you 288.
i did that becasue if theres
so with 18 pounds and 16 onzes are in 1 pound so I multipyed them togher to get 288
i checkd this with my bio teacher she said 288 is corrcet.