Answer:
27 15/28 degrees
Step-by-step explanation:
Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.
1*4=4 1*7=7
2*4=8 2*7=14
3*4=12 3*7=21
4*4=16 <u>4*7=28</u>
5*4=20
6*4=24
<u>7*4=28</u>
Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.
8/28 + 7/28=15/28
For our last step, we need to add the whole numbers together so the answer is complete.
21+6=27
27+15/28= 27 15/28 degrees
Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
Answer: square root(265)
Step-by-step explanation:
Again, you can solve this via the Pythagorean theorem(a^2+b^2=c^2)
a= a side
b= another side
c= hypotenuse
Now, Substitute
12^2+11^2=x^2
144+121= 265
Now, square root and you get
square root(265)
9/3 as a mixed fraction is the whole number 3
Answer: 34,560
Step-by-step explanation:
Total crayons of different color = 12
Total children = 3
Each child will get 4 crayons.
Number of combinations of selecting <em>r</em> things out of <em>n</em> things = 
The number of ways of selecting the first 4 crayons for first child = 
Colors left = 12-4 =8
Now, the again selecting 4 colors out of 8 for second child = 
Colors left =4
Number of ways of selecting 4 colors out of 4 for third child =1
Total number of ways = 495 x 70 x 1 = 34650 [By fundamental principle of counting]
Hence, the total number of ways = 34,560.
