Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:

Factoring by finding two numbers that add up to 18 and have a product of 80:

The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
The third one I think I'm not sure
Answer:
the length of the first side of the triangle is 
the length of the second side of the triangle is 
the length of the third side of the triangle is
Step-by-step explanation:
Let
x-----> the length of the first side of a triangle
y----> the length of the second side of a triangle
z---> the length of the third side of a triangle
we know that
-----> equation A

-----> equation B
The perimeter of the triangle is equal to


so
-----> equation C
substitute equation A and equation B in equation C

solve for x


Find the value of each side
the first side of a triangle is x

the second side of a triangle is y

the third side of a triangle is z
Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Pyramid Surface Area = (.5 * 56 * 11) + 14 * 14Pyramid Surface Area = 308 + 196Pyramid Surface Area =504 square millimeters
Source:http://www.1728.org/volpyrmd.htm
Answer:
The answer is B
Step-by-step explanation:
The range is the difference between the greatest and least, so the difference between the most time spent surfing the internet and the least time surfing the internet would be the answer.