Answer:
The value of x would be 
Step-by-step explanation:
Given,
The dimension of the cardboard = 10 ft by 10 ft,
∵ After removing four equal squares of size x ( in ft ) from the corners,
The dimension of the resultant box would be,
Length = ( 10 - 2x ) ft,
Width = ( 10 - 2x ) ft,
Height = x ft,
The volume of box,

Differentiating with respect to x,

Again differentiating with respect to x,

For maxima or minima,



By quadratic formula,





For x = 5/3, V'' = negative,
While for x = 5, V'' = Positive,
Hence, the value of x would be 5/3 ft for maximising the volume.
Answer:15.2
Step-by-step explanation:380/25
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,


Alternate method:
![m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-%2840%5Cdegree%2B70%5Cdegree%2B90%5Cdegree%29%5D)
![\implies m\angle 1 = 180\degree- [360\degree-200\degree]](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-200%5Cdegree%5D)


<span>When your income is more than your expenses, y</span>ou have surplus
Answer:
<h3>Find the explanation below</h3>
Step-by-step explanation:
A) Given the equation z - 5 = 2
To get the solution, we will add 5 to both sides and find z as shown;
z - 5 = 2
z - 5 + 5 = 2 + 5
z + 0 = 2+5
z = 7
Hence z = 5 is not the solution of the equation but z = 7
B) Given the inequality expression t+2>5
Substract 2 from both sides of the equation;
t+2 - 2>5 - 2
t + 0> 3
t>3
Hence the solution t = 4 is not true for the expression. The solution is t > 3
C) Given the expression x-2=2, to get the solution to the expression, you will add 2 to both sides of the equation;
x - 2+ 2 = 2 + 2
x + 0 = 4
x = 4
Therefore x = 4 is the solution of this equation.
Based on the question, only Option C is correct