Answer:
8.3 cm
Step-by-step explanation:
1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)
π(4.5²) · 17 = 1080.945 cm³
2. Set up the equation to find the volume of the big cylinder
πr² · 5 = 1080.945
3. Divide both sides by 5
πr² = 216.189
4. Divide both sides by π (3.14)
r² = 68.85
5. Square root both sides
r = 8.3 cm (rounded to the nearest tenth)
So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:
5 to 10
We would change this into:

Because the problem says to simplify, we can divide both sides by 5 and simplify it into:

If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.
If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!
Answer:
Step-by-step explanation:
quadratic formula
x = -(-5)+
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
Answer:

Step-by-step explanation:
So we have the equation:

First, let's distribute the left side of our equation:

Multiply:

Now, let's isolate the y-variable. Subtract 4y from both sides:

The right side cancels. Subtract on the left. So:

Now, subtract 5 from both sides:

The left side cancels. Subtract on the right:

Now, divide both sides by 6. So:

The left will cancel. Therefore:

And we're done!