Solution: Estimated time for the work is 40 hour work week.
Estimated payment to 3 laborers working 40 hours at cost $14 per hour is:
$1680
Estimated payment to 6 masons working 40 hours at cost $24 per hour is:
$5760
Estimated cost of material = $3143
Contractor wishes to make a profit of $500
Therefore, the mathematical expression that will give the estimated cost of the job is:
The estimated total cost is:
Cost =$11083
Answer:
A = 504inch
Step-by-step explanation:
Formula = A = 2(wl + hl + hw)
or A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
2wl = 6inch × 12inch = 72inch × 2 = 144inch
2lh = 12inch × 10inch = 120inch × 2 = 240inch
2hw = 10inch × 6inch = 60inch × 2 = 120inch
Then add all
144inch + 240inch + 120inch = 504inch
A = 504inch
A quadrilateral is a kite if the diagonals are:
i) perpendicular
ii) bisect each other
iii) not equal ( together with conditions i and ii this would make the quadrilateral a square)
Another definition of the kite is :
a quadrilateral with 2 pairs of equal adjacent sides.
Let's check the choices one by one:
A. <span>∠M is a right angle and MK bisects ∠LMJ.
according to these, ML and MJ may well be not equal...
</span><span>B. LM = JM = 3 and JK = LK = √17.
</span>
this makes the quadrilateral a kite.
<span>C. MK intersects LJ at its midpoint
</span>
if they are not perpendicular, the quadrilateral is not a kite.
<span>D. The slope of MK is –1 and the slope of LJ is 1.
this only means that MK and LJ are perpendicular, but not whether they bisect each other,
Answer: only B</span>
Answer:
is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base = 
, height of the box = x
Volume of square box = Area * height = 
Differentiating the above equation and equating it to zero, we get –
d/dx 
d/dx
= d/dx 
d/dx 
On solving above equation, we get –
<u>Answer:</u>
<u>Step-by-step explanation:</u>
To find the solution to the equation, we have to rearrange the equation to make 
the subject:
⇒ 
[Subtracting 2 from both sides]
⇒ 
⇒ 
[Subtracting 
from each side]
⇒ 
⇒ 
[Diving both sides by 213]
⇒
