Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Answer:
The weight of large and small box are 18.25 kg and 13.25 kg respectively.
Step-by-step explanation:
Let the weight of large and small box are x and y respectively.
It is given that a delivery of 5 large boxes and 3 small boxes has a total weight of 131 kilograms.
.... (1)
A delivery of 2 large boxes and 6 small boxes has a total weight of 116 kilograms.
.... (2)
On solving (1) and (2) using graphing calculator, we get
Therefore the weight of large and small box are 18.25 kg and 13.25 kg respectively.
To find percent error you use the following formula:
% error = (1.6 - 1.9)/1.9 * 100% = 15.79%
Answer:
A = 35 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 10)(7)
A = 35 cm^2
9514 1404 393
Answer:
(b) angle FOA
(c) angle EOA
(d) angle AOH
Step-by-step explanation:
(b) The rays of vertical angles are opposites that form intersecting lines.
The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.
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(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.
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(d) Similarly, the supplement to angle BOH is angle AOH.
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<em>Comment on supplementary angles</em>
Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.
