Answer:
Points she needs to earn on the next game = 14
Step-by-step explanation:
Martiza scores for six games were 11, 12,10,8,14, and 15.
(11+12+10+8+14+15+x)/7=12
(70+x)/7 = 12
Multiply both sides by 7
(70+x)/7 *7 = 12*7
70+x = 84
Combine the constants:
x=84-70
x = 14
Points she needs to earn on the next game = 14....
The above figure depicts :
<h2>c=10.35</h2><h2><a=50.87°</h2><h2><b=87.13°</h2>
Step-by-step explanation:
as we know
law of cosine
![c = \sqrt{ {a}^{2} + {b}^{2} - 2ab. \cos(c) }](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20-%202ab.%20%5Ccos%28c%29%20%20%7D%20%20)
![c = \sqrt{ {14}^{2} + {18}^{2} - 2.14.18 - \cos( {35}^{o} ) }](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B%20%7B14%7D%5E%7B2%7D%20%20%2B%20%20%7B18%7D%5E%7B2%7D%20%20-%202.14.18%20-%20%20%5Ccos%28%20%7B35%7D%5E%7Bo%7D%20%29%20%7D%20)
![c = 10.35](https://tex.z-dn.net/?f=c%20%3D%2010.35)
using the law of cosine
![cos(a) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc}](https://tex.z-dn.net/?f=cos%28a%29%20%3D%20%20%5Cfrac%7B%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bc%7D%5E%7B2%7D%20%20-%20%20%7Ba%7D%5E%7B2%7D%20%7D%7B2bc%7D%20)
![\cos(a) = \frac{ {18}^{2} + {10.35 }^{2} - {14}^{2} }{2.18.(10.35)}](https://tex.z-dn.net/?f=%20%5Ccos%28a%29%20%20%3D%20%20%5Cfrac%7B%20%7B18%7D%5E%7B2%7D%20%20%2B%20%20%7B10.35%20%7D%5E%7B2%7D%20%20-%20%20%7B14%7D%5E%7B2%7D%20%7D%7B2.18.%2810.35%29%7D%20)
![a = {50.87}^{o}](https://tex.z-dn.net/?f=a%20%3D%20%20%7B50.87%7D%5E%7Bo%7D%20)
b=87.13°
Answer: the other two sides are 5 feet and 12 feet
Step-by-step explanation:
Length of one side be x , that means the other side is x + 7
by Pythagoras theorem:
+
= ![13^{2}](https://tex.z-dn.net/?f=13%5E%7B2%7D)
expanding , we have:
+
+ 14x + 49 = 169
+ 14x + 49 - 169 = 0
+ 14x - 120 = 0
divide through by 2 , we have
+ 7x - 60 = 0
By factorizing , we have
(x - 5)(x+12) = 0
Therefore:
x = 5 or x = -12
Since , the side can not be negative , so
x = 5
That means the other side will be 5+ 7 = 12
Answer:
The median is 15 and the mean is 17.
Step-by-step explanation:
Using this calculator you can calculate the median and mean in a simple and quick process in which I did to find out your answer.