Answer:
x=9.8
Step-by-step explanation:
Use the Law of Sines to find side x.<span>
x / sin(A) = c / sin(C)</span><span>
x / sin(61°) = 15 / sin(81°)</span><span>
x = (sin(61°) x 15) / sin(81°)</span><span>
x = <span>13.283
Or rounded to 13.3
</span></span>
Answer:
Mean = 151.375
Median = 152.5
Mode = None
Range = 115
Step-by-step explanation:
To find the mean:
Add the numbers and then divide by how many numbers there are:
150+125+162+178+98+213+155+130 = 1211
1211/8 = 151.375
To find the median:
Arrange in order from least to greatest:
98, 125, 130, 150, 155, 162, 178, 213
Median is the middle number. Because there is no middle number, average 150 and 155:
150+155 = 152.5
To find the mode:
Count how many times each number appears in the set. In this case, every number appears once, so there is no mode.
To find the range:
Subtract the highest number from the lowest number to find the difference:
213-98 = 115
According to this <em>trigonometric function</em>, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:
![\displaystyle Phase\:[Horisontal]\:Shift → \frac{-\frac{π}{6}}{1} = -\frac{π}{6} \\ Period → \frac{π}{1} = π](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Phase%5C%3A%5BHorisontal%5D%5C%3AShift%20%E2%86%92%20%5Cfrac%7B-%5Cfrac%7B%CF%80%7D%7B6%7D%7D%7B1%7D%20%3D%20-%5Cfrac%7B%CF%80%7D%7B6%7D%20%5C%5C%20Period%20%E2%86%92%20%5Cfrac%7B%CF%80%7D%7B1%7D%20%3D%20%CF%80)
Therefore we have our answer.
Extended Information on the trigonometric function
![\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{π}{B} \\ Amplitude → |A|](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Vertical%5C%3AShift%20%E2%86%92%20D%20%5C%5C%20Phase%5C%3A%5BHorisontal%5D%5C%3AShift%20%E2%86%92%20%5Cfrac%7BC%7D%7BB%7D%20%5C%5C%20Period%20%E2%86%92%20%5Cfrac%7B%CF%80%7D%7BB%7D%20%5C%5C%20Amplitude%20%E2%86%92%20%7CA%7C)
NOTE: Sometimes, your <em>vertical shift</em> might tell you to extend the troughs on each end of your graphs, beyond the <em>midline</em>.
* All tangent functions have NO AMPLITUDE.
I am joyous to assist you anytime.
Answer:
44.5 minutes on her phone to stay within budget
Step-by-step explanation:
65.50-21.00 = 44.50
44.50x0.12 = 5.34
5.34 divided by 0.12 = 44.5
