<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>
The relation between the width and the length is:
l = 3w + 1 --- (1) Perimeter = 2w + 2l --- (2) Put (1) in (2) » Perimeter = 2w + 2(3w+1) » Perimeter = 2w + 6w + 2 Perimeter = 8w +2
Answer:
the answer is 45
Step-by-step explanation:
Answer:
20.6
Step-by-step explanation:
Use the trig function Cosine to find the length of the ramp. The cosine function is defined as the ratio adjacent side over hypotenuse. The base 20 is the adjacent side to the angle 14 while the length of the ramp is the hypotenuse. Using the function we write, cos 14 = 20 / x. Solve for x.
Cos 14 = 20 / x
x*Cos 14 = 20
x = 20 / cos 14
x = 20.6
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.