Answer: 35000π cm.
Step-by-step explanation:
First find circumference
Circumference = 2 × π × radius
Circumference = 2 × π × ( diameter / 2 )
Circumference = 2 × π × ( 35 / 2 )
Circumference = 35 × π cm
Now,
1 revolution = 1 circumference
1000 revolution = 1000 circumference
1000 revolution = 1000 × (35 × π)
1000 revolution = 35000π cm.
Answer:
the answer is 5.1%
Step-by-step explanation:
first you divide 37 by 39 to get .94871795
next you would subtract 1 by that number and you get
.05128205 which can be rounded to .051 or 5.1%
Well for starters that would be $108/6 weeks when a unit rate is anything over one. To put it as a unit rate (how many dollars per hours) you just divide $108 by 6 (since you would divide 6 by 6 to get) and the unit rate would end up being $18 per hour.
Hi there,
x(x + 19) = -34
I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34
</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34
</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)
</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0
</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0
</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0
</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17
</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17
Hope this helps! :)</span></span></span>
Answer:
We would have
where " l " is length, " w" is width and "h" is height.
Step-by-step explanation:
Step 1
Remember that
Surface area for a box with no top = 
where " l " is length, " w" is width and "h" is height.
Step 2.
Remember as well that
Volume of the box = 
Step 3
We can now use lagrange multipliers. Lets say,
and
By the lagrange multipliers method we know that
Step 4
Remember that
and
So basically you will have the system of equations
Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get
Then you would get
You can get rid of 
from these equations and you would get
And from those equations you would get
Now remember the original equation
If we plug in what we just got, we would have
