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Dmitry [639]
3 years ago
15

Use the power-reducing formulas to rewrite each of the expressions in terms of the first power of the cosine. Sin^4cos^4

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

1/128 * (3 - 4cos2x + cos4x)

Step-by-step explanation:

See attachment for steps

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Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded
Anna11 [10]
Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x=[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x

so f(x)=4 x^{3}-260x^{2}+4000x

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

f'(x)=12x^{2}-520 x +4000=0

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

x=10 and x=33.333

plug in f(x) these values to see which greater:

f(10)=(80-20)(50-20)10=60*30*10=18000 cm cubed

f(33.333)=(80-66.666)(50-66.666)33.333= which is negative because (50-66.666)<0



Answer: 18000 cm cubed

5 0
3 years ago
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250 decreased by 35%
Sedbober [7]

Answer:250, percentage decreased by 35% (percent) of its value = 162.5

8 0
2 years ago
Just need these six questions answered for math :&gt;
8_murik_8 [283]

Answer:

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Step-by-step explanation:

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Find the area of the composite figure to the nearest hundredth.
Lyrx [107]

Answer:

745.31

Step-by-step explanation:

1.  12.5^2 * 2 = 312.5

2. (3,14 * 156,25)/2 = 245.31

3.  (30 * 12.5)/2 = 187.5

4. 187.5 + 245.31 + 312.5 = 745.31

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3 years ago
Factor each expression<br>(9 &amp; 10)
s344n2d4d5 [400]
9)
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11) 
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3 years ago
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