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3 years ago

Who knows 100 digits of pi?

Mathematics

2 answers:

ella [17]3 years ago

6 0

Answer:

3.14159265358979323846264338327950288419716939937510582

09749445923078164062862089986280348253421170679

allochka39001 [22]3 years ago

5 0

Answer:

Not me cause im dumb

Step-by-step explanation:

im really dumb ive never understanded school xd so yea.

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

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3 years ago

Jack had 26 marbles and Jill had 12 marbles. How many marbles would Jack need to give to Jill in order for them to have equal am

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Answer:

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Step-by-step explanation:

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Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?

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Answer:

4 quarters

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Step-by-step explanation:

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Suppose your top drawer contains different colored socks: 14 are white, 4 are black, 12 are pink, and 8 are blue. All socks in t

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Which complex number does NOT fall within the shaded region in this graph?

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