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muminat
3 years ago
11

I’m stuck. Need help on this one.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

-  \frac{2}{3}  {d}^{2} e {f}^{4}

the correct answer is ....

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A bicycle wheel has a 10-inch radius.How far does the wheel travel in one full turn
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Answer:

Approximately 62.83 inches.

Exactly 20π inches.

Step-by-step explanation:

It's simply the wheel's circumference.

<em>C</em> = 2π<em>r</em> = 2(10)(π) = 20π ≈ 62.83 inches

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is
lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

P= 2l+3.14 (w/2)+w

Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

A=lw +\pi \frac{w^2}{8}

A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57

Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

5 0
3 years ago
The length of a rectangle is 2x+1 and the width is 4x-3. Write an expression to calculate the area. (Note: Area= length • width)
maw [93]
(4x-3)(2x+1) expand the brackets: 8x^2 -2x -3 = area
7 0
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