Answer:
The measure of each side of the cube is
<h2>15 inches</h2>
Step-by-step explanation:
Since it's a cube all it's sides are equal
To find the length of each side we use the formula
Volume of a cube = l³
where l is the measure of one side
From the question
Volume = 3375 cubic inches
Substitute this value into the formula and solve for l
That's
<h3>
</h3>
Find the cube root of both sides
That's
<h3>
![\sqrt[3]{ {l}^{3} } = \sqrt[3]{3375}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bl%7D%5E%7B3%7D%20%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B3375%7D%20)
</h3>
We have the final answer as
<h3>l = 15 inches</h3>
Hope this helps you
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
5 8/12 in the simplest form is 17/3
Step-by-step explanation:
The required sum
=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)
=2199(1+199)−266(3+198)−239(5+195)+213(15+195)
=199×100−33×201−39×100+13×105=10732
Answer:
54
Step-by-step explanation:
