Answer:
(1/2, 3/2)
Step-by-step explanation:
solve the 1st variable in one of the equations and then substitute it and the result will be turned into the other equation.
<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12.
Let r = # of rows and s = # of seats in a row.
Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows.
Then
r x (r + 12) = 1564
or
r**2 + 12*r - 1564 = 0, which is a quadratic equation.
The general solution of a quadratic equation is:
x = (-b +or- square-root( b**2 - 4ac))/2a
In our case, a = 1, b = +12 and c = -1564, so
x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1
= (-12 +or- square-root( 144 + 6256 ) ) / 2
= (-12 +or- square-root( 6400 ) ) / 2
= (-12 +or- 80) / 2
= 34 or - 46
We ignore -46 since negative rows are not possible, and have:
rows = 34
and
seats per row = 34 + 12 = 46
as a check 34 x 46 = 1564 = total seats</span>
Answer:
Complete solution is given in the images attached below for better demonstration
9514 1404 393
Answer:
38
Step-by-step explanation:
The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.
<u>Answer:</u>
Trapezoid is the shape of the cross section of a rectangular pyramid.
<u>Step-by-step explanation:</u>
We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.
Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.
Refer to the figure below for better understanding.
