let's firstly convert the mixed fractions to improper fractions and then sum them up.
![\bf \stackrel{mixed}{2\frac{2}{8}}\implies \cfrac{2\cdot 8+2}{8}\implies \stackrel{improper}{\cfrac{18}{8}}~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{18}{8}+\cfrac{9}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)18+(2)9}{8}}\implies \cfrac{18+18}{8}\implies \cfrac{36}{8}\implies \cfrac{9}{2}\implies 4\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%208%2B2%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B18%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B18%7D%7B8%7D%2B%5Ccfrac%7B9%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%2918%2B%282%299%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B18%2B18%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B36%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%5Cimplies%204%5Cfrac%7B1%7D%7B2%7D)
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
2. The three points you need to mark on this graph are (1,2) (2,3) and (4,5); you then draw a line through all of these points and determine whether the inches of rainfall is proportionate to the number of hours.
You mark those 3 points because at 1 hour, 2 inches of rain has fallen; at 2 hours, 3 inches of rain has fallen; and at 4 hours, 5 inches of rain has fallen
4a+2-3c+6+7c-3-3b+2a-5b you can combine 4a and 2a to get 6a
6a+2-3c+6+7c-3-3b-5b you can combine 5b and 3b to get -8b
6a+2-3c+6+7c-3-8b you can combine 3 and 2 and 6 to get 5
6a+5-3c+7c-8b you can combine 3c and 7c to get 4c
6a+5+4c-8b
Answer:
D
Step-by-step explanation:
If x is not equal to zero, then 1/x can be equal to x.
So which is k * 1/x if x =1?
D, because x is the same as 1x, which is equivalent to 1/1 (x).
I may be wrong though please look at other answers and if you have questions then comment
