For this case we have the following equation for the volume:

Rewriting the equation we have:

We factor the equation to find the roots of the polynomial.
We have then:

Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:

The height is:

The width is:

Thus, the dimensions are:

Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
Answer:
It is asking you to solve for x.
Step-by-step explanation:
You can find the hypotenuse of the triangle using the Pythagorean Thereom.
hope this clarifies the problem!
A² + B² = C²
Answer:
The quadratic equation has two complex solutions
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
Equate to cero
so
substitute in the formula
Remember that

so
therefore
The quadratic equation has two complex solutions
Answer: the degree will go down 90 degrees
Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.
Let's solve this problem step-by-step.
−3(1−2x)=3x+3(x−3)+6
Step 1: Simplify both sides of the equation.
−3(1−2x)=3x+3(x−3)+6
(−3)(1)+(−3)(−2x)=3x+(3)(x)+(3)(−3)+6(Distribute)
−3+6x=3x+3x+−9+6
6x−3=(3x+3x)+(−9+6)(Combine Like Terms)
6x−3=6x+−3
6x−3=6x−3
Step 2: Subtract 6x from both sides.
6x−3−6x=6x−3−6x
−3=−3
Step 3: Add 3 to both sides.
−3+3=−3+3
0=0
So, 0=0 or all real numbers.