For this case, the first thing we must do is define variables.
We have then:
x: length of the bookshelf
y: thickness of each book
The equation for the number of books is:
Substituting values we have:
Doing the calculation we have:
Answer:
200 copies of this book will fit on the bookshelf
There are an infinite number of solutions, so I don't plan to list them all.
I'll list two of them, and then describe how to get all of the rest.
You said that <u>2cos(x) - 1 = 0</u>
Add 1 to each side: 2cos(x) = 1
Divide each side by 2: cos(x) = 1/2
The angles whose cosine is 1/2 are 60 degrees, 300 degrees,
and any multiple of 360 degrees added to either of those.
Answer:
x = 4.25
Step-by-step explanation:
1. distribue the -5 on the left side of the equal sign by multiplying it with 2x and -9 inside the brackets. Do the same with the negative sign and the -6x and 10 in the brackets on the right side of the equation. this should make:
17 - 10x + 45 = 6x - 10 + 4
2. Combine like terms on both sides of the equal sign. Add 17 and 45, and add -10 and 4 to make:
62 - 10x = 6x - 6
3. Bring like terms onto the same side. You can either bring the 62 to -6, which would make 62 negative, or bring -6 to 62, making the 6 positive. Do the same with -10x and 6x. It should make:
68 = 16x OR -68 = -16x
4. Divide both sides by 16 or -16, depending on which option you went with.
68/16 = 16x/16 OR -68/-16 = -16x/-16
This gives:
4.25 = x
Answer:
a. 15 on top 8 on bottom
b. 2 on top -3 on bottom
c. 4 and 2
d. 4 on top 8.5 on bottom
e. -3 and -4
Step-by-step explanation:
multiply the two numbers on the sides to get the top answer and add them together to get the bottom answer.
