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madreJ [45]
2 years ago
9

HELP ME PLEASEEEEEEE

Mathematics
1 answer:
tatuchka [14]2 years ago
5 0
Okay so under the quadrilateral section the first one is a rectangle, the next one is a square, after that it’s a rhombus, and the last one is a trapezoid. Then on the triangles section the first one is an equilateral, the middle one is isosceles, and the last one is scalene. Hope this helped!
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2nd answer: :
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Negative 5 (2 1/6) equals.
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Answer: -65/6

Step-by-step explanation:

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3w-4z=8<br> 2w+3z=-6 solve
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If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

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Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
2 years ago
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