Answer:
x = 6
Option A.
Step-by-step explanation:
We know that
If A, B and C are collineal points, they all pass through a common line.
<--------------14-------------->
A-----------B----------------C
<-----x-----><------x+2---->
Based on the problem and the diagram above,
(x) + (x+2) = 14
(2x+2) = 14
(2x) = 12
(x) = 6
<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:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
48 I believe :) pls like I need points
