Answer:
18. 46
19. 0.7
22. 4 3/4
23. 54.5
26. 14
27. 11.5
31. 15
etc.
Step-by-step explanation:
absolute value means that the sign in front of the # doesn't matter, you just have to look at the positive value, for example:
absolute value of 46 = 46
absolute value of - 36 = 36
(imagine the sign in front of the # isn't there)
so you have
###
If you don't remember the value of off the top of your head, it's possible to derive it with some identities and knowing that .
Consider the expression . With the angle sum identity, we have
and the double angle identities give
Write everything in terms of cosine:
Now let . Then
Let . Then
The rational root theorem suggests some possible roots are
and checking all of these, we find that is among the solution set. In fact,
We have only for odd multiples of , so it follows that
First unanswered one is 239.2
Answer:
5
Step-by-step explanation:
235 ÷ 47 = 5
If one of John's shelves holds 47 books, then he would need 5 shelves to hold 235 books.
I hope this helps! Have a nice rest of your day :)
Perimeter of triangle is 48
Step-by-step explanation:
<u>Step 1: Find XY</u>
AY=AX or AY + AX = XY
AY = 7
AX = 7
XY = AY + AX
XY = 7 + 7
XY = 14
<u>Step 2: Find YZ</u>
BZ = BY or BZ + BY = YZ
BY = 8
BZ = 8
YZ = BY + BZ
YZ = 8 + 8
YZ = 16
<u>Step 3: Calculate the perimeter</u>
Perimeter = XY + YZ + XZ
Perimeter = 14 + 16 + 18
Perimeter = 48
Therefore, the perimeter is 48.
Keyword: Perimeter, midpoint
Learn more about perimeter at
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