The yearly average (mean) change was -1,115,000 visitors. (-11,150,000/10 = -1,115,000)
...
b. I assume that more people left than that of who came... so there was a lost of visitors
I could not see the question so take another snap of the question
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:
Elvira - $15.15
Miguel - $15.15
Stefan - $15.15
Anna - $20
Laura - $10
Step-by-step explanation:
Total - $75.45
Total people - Elvira, Miguel, Stefan, Anna and Laura (5)
Anna pays $20
Laura pays $10
5 - 2 = 3
3 people pay equally
$20 + $10 = $30
$75.45 - $30 = $45.45
![\frac{45.45}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B45.45%7D%7B3%7D)
$15.15 each
Answer:
- small: 5 yards
- large: 8 yards
Step-by-step explanation:
Using s and L to represent the amount of ribbon used for small barrettes and large barrettes, respectively, we have ...
12s +12L = 156
10s +11L = 138
Dividing the first equation by 12 gives ...
s +L = 13
Substituting s = 13-L into the second equation gives ...
10(13 -L) +11L = 138
130 +L = 138 . . . . . . . simplify
L = 8 . . . . . . . . . . subtract 130
s = 13 -8 = 5 . . . . find s
Rachel uses 5 yards for a small barrette, and 8 yards for a large barrette.