The given information permits us to calculate the circumference (C) of the wheel as follows
Then (as you said correctly!) the same wheel will move
after 16 rolls.
Answer:
second option
Step-by-step explanation:
The perimeter P is the sum of the 3 sides, then
P = 4x² + 3 + 2x - 5 + x + 11 ← collect like terms
= 4x² + 3x + 9
9514 1404 393
Answer:
{2, 2.001, 2.01, 2.1, 3, 5, 7, 10}
Step-by-step explanation:
The symbol ≥ means "greater than or equal to", so any values 2 or greater will make the inequality true. From your list, those are ...
2 2.001 2.01 2.1 3 5 7 10
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
1) he is not reasonable because pounds per feet would mean you would do 7.3/14.6 which is a decimal
hope this helped :)
