If you are looking for the surface area of the cube, it is 169. The equation for the surface area of a square is base times height. This would mean it’s 13x13 since all the sides are the same. 13x13=169
Answer:
6 in
Step-by-step explanation:
A= bh
18 as our area= 3 as our base and (x) as the height
18/3 = 6
so 6 is the height
Let's make sure that the answer is right:
A= bh
A= 3(6)
A= 18
QPR = 1/2 (31 + 98)
Angle QPR = 64.5 degrees
Area of a square is given by multiplying the length by the width, but since a square has four sides of equal length, we will end up multiplying two numbers that are the same.
We want a minimum area of 80 square feet and at the maximum of 125 square feet
Think of the square numbers that are in between 80 and 125
8 × 8 = 64
9 × 9 = 81
10 × 10 = 100
11 × 11 = 121
12 × 12 = 144
There are three possible measurements of the patio:
9 by 9 and number of tiles left = 125 - 81 = 44 tiles
10 by 10 and number of tiles left = 125 - 100 = 25 tiles
11 by 11 and number of tiles left = 125 - 121 = 4 tiles
First notice that
<em>x</em> ² + 5<em>x</em> + 6 = (<em>x</em> + 3) (<em>x</em> + 2)
so you can rewrite everything with a common denominator:
5 / (<em>x</em> ² + 5<em>x</em> + 6) + 7 / (<em>x</em> + 2) = 6 / (<em>x</em> + 3)
5 / (<em>x</em> ² + 5<em>x</em> + 6) + 7 (<em>x</em> + 3) / ((<em>x</em> + 2) (<em>x</em> + 3)) = 6 (<em>x</em> + 2) / ((<em>x</em> + 3) (<em>x</em> + 2))
5 / (<em>x</em> ² + 5<em>x</em> + 6) + 7 (<em>x</em> + 3) / (<em>x</em> ² + 5<em>x</em> + 6) = 6 (<em>x</em> + 2) / (<em>x</em> ² + 5<em>x</em> + 6)
(5 + 7 (<em>x</em> + 3)) / (<em>x</em> ² + 5<em>x</em> + 6) = 6 (<em>x</em> + 2) / (<em>x</em> ² + 5<em>x</em> + 6)
As long as <em>x</em> ≠ -3 or <em>x</em> ≠ -2, the denominators are never zero, so we can cancel them and be left with
5 + 7 (<em>x</em> + 3) = 6 (<em>x</em> + 2)
Solving for <em>x</em> is easy from here:
5 + 7<em>x</em> + 21 = 6<em>x</em> + 12
7<em>x</em> - 6<em>x</em> = 12 - 5 - 21
<em>x</em> = -14
