Answer:
Side of square bottom=6.46 m
Height of box=4.31 m
Step-by-step explanation:
Let s be the side bottom
Height of box=h
Volume of box=
Volume of box=
Cost of bottom=$40 per square m
Cost of sides =$30 per square m
Total cost=
Differentiate w.r.t s
Again,differentiate w.r.t s
Substitute s=6.46
Hence, the cost is minimum at s=6.46
Side of square bottom=6.46 m
Height of box=4.31 m
The answer is orange because true
Step-by-step explanation:
We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.
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Because this shape has 2 right angles, we can confirm that it has one set of parallel sides and is a trapezoid. Therefore, use the formula for area of a trapezoid, .5(b1+b2)(h)
.5(1+6)(12)
.5(7)(12)
42 units^2
Answer:
45.7
Step-by-step explanation:
Hello there!
We can calculate the missing angle using trigonometry
here are the trigonometric ratios
sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent
We are given x's opposite side length (8) and x's adjacent side length (7.8)
we are given the information to use the trigonometric ratio tangent
so now we create an equation (remember tan - opposite over tangent)
now we solve for x
we're left with
finally we want to get rid of the tan
To do so we take the inverse of tan (arctan^-1) and apply it to each side
so x = 45.7252243
finally we round to the nearest tenth and get that the answer is
45.7