Answer:
√2/2
Step-by-step explanation:
If sinP = √2/2,
Rationalize;
√2/2
= √2/2,*√2/√2
√4/2√2
= 2/2√2
= 1/√2
Hence sinP = 1/√2
Take sin inverse of both sies
arcsinP = arcsin1/√2
P = 45 degrees
cos P = Cos 45
= 1/√2
= 1/√2 * √2/√2
= √2/2
Hence the value of cosP is √2/2
Answer:
to solve
you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is
then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become
.
Step-by-step explanation:
1) Change the fractions to improper fractions.
![\frac{13}{4} -\frac{11}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D%20-%5Cfrac%7B11%7D%7B6%7D)
2) Change the denominator to a common denominator.
![\frac{39}{12} -\frac{22}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B39%7D%7B12%7D%20-%5Cfrac%7B22%7D%7B12%7D)
3) Minus the Numerators.
![\frac{39}{12} -\frac{22}{12}=\frac{17}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B39%7D%7B12%7D%20-%5Cfrac%7B22%7D%7B12%7D%3D%5Cfrac%7B17%7D%7B12%7D)
4) Changing it to a mixed number
![=1\frac{5}{12}](https://tex.z-dn.net/?f=%3D1%5Cfrac%7B5%7D%7B12%7D)
Answer:
B
Step-by-step explanation:
In a triangle, the sum of any two sides must be bigger than the third.
For the first one, 10+20=30 is not greater than 30, so this is not correct.
For B, 122+137 = 259 > 257, 257+137>122 , and 257 + 122 > 137. This works
For C, 8.6 + 2.7 = 11.3 < 12.2, so this does not work
For D, 1/6 + 1/5 = 5/(6*5) + 6/(6*5) = 5/30 + 6/30 = 11/30 < 1/2 = 15/30, so this does not work
Now, assuming is a vertical parabola, so the squared variable is the "x", let's do some checking.