Answer:
5
Step-by-step explanation:
<em>2 solutions</em>
<em>X= 16</em>
<em>X=49</em>
Step-by-step explanation:
<em>original equation</em>
<em>x-11√x+28 = 0</em>
<em> Isolate</em>
<em> -11√x = -x-28+0</em>
<em> Tidy up</em>
<em> 11√x = x+28</em>
<em> Raise both sides to the second power</em>
<em> (11√x)2 = (x+28)2</em>
<em>After squaring</em>
<em> 121x = x2+56x+784</em>
<em> Plug in 49 for x </em>
<em> 11√(49) = (49)+28</em>
<em>Simplify</em>
<em> 11√49 = 77</em>
<em> Solution checks !!</em>
<em> Solution is:</em>
x = 49
<em>Plug in 16 for x </em>
<em> 11√(16) = (16)+28</em>
<em>Simplify</em>
<em> 11√16 = 44</em>
<em> Solution checks !!</em>
<em> Solution is:</em>
x = 16
Answer:
135 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
To calculate h use Pythagoras' identity on the right triangle on the left
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h =
= 15 , thus
A = 9 × 15 = 135 units²
The question is missing the figure which is attached below.
Answer:
The last box that has dimensions 8 in × 8 in × 10 in
Step-by-step explanation:
Given:
Volume of the soil = 924 cubic inches.
There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.
The volume of the box must be at least 924 cubic inches to accommodate all of the soil.
Now, volume of the first box is given as:

Volume of the second box is given as:

Volume of the third box is given as:

Volume of the fourth box is given as:

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.
The charge on each house is 8 units