Answer:
The area of the base B is equal to 
The volume is equal to 
Step-by-step explanation:
I will proceed to resolve the problem indicated in the attached figure.
The figure shown a inverted rectangular pyramid
The base is a rectangle
The area of the base B is equal to

To find how many cubic centimeters of titanium are needed to manufacture one tip, calculate the volume of the figure
<em>Find the volume of the inverted rectangular pyramid</em>
The volume of the pyramid is equal to

we have


substitute

Because in both ways, u are isolating a variable by inverse operations.
<span>Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in</span>
Area of the
frame given as the same, frame = 35 sq in also
<span>
Therefore the total area (picture & frame) will be 70 sq in</span>
<span>
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
</span>
<span>Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0</span>
<span>
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35</span><span>
</span><span> x = -b sqrt b^2 – 4*a*c divided by 2 * a</span><span>
x
= -24</span> ±<span>
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 </span>±<span>sqrt 576 -
-(560) divided by 8
x = -24 </span>± sqrt 576 + 560 divided by 8<span>
x = -24 </span>± sqrt1136
divided by 8<span>
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer</span>
<span> </span>
Thanks for the question!
When you multiply or divide both sides of an inequality, you flip the sign. "Flip," meaning greater than becomes less than and less that becomes greater than.
Hope this helps!