Find the square numbers and see which ones 54 lies between
1, 4, 9, 16, 25, 36, 49, 64.
It lies between the two square numbers 49 and 64.
But you want the square root.
So find the square root of 49 and 64.
7 and 8.
So the square root of 54 is between 7 and 8.
Hope this helps.
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
Answer:
1/5
Step-by-step explanation:
The best way to think about this is on a number line. -4 would be on the left of 0 meaning it is less than 0 and 
is on the right side of 0 but it is less than 1.
Find the common denominator for both unlike fractions.
EX: 1 2
12 8
The lowest common factor is both fractions is 24. Multiply both denominators to get 24.
Do not forget to multiply the numerators with the number you used to multiply the denominators together.
You do not have to multiply each side by the same number.
Answer:
she jogged for 35 hours
Step-by-step explanation:
6×5 6+5=11 11+6=17 17+6=23 23+6=29 29+6=35
