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3 years ago

Find the sum or difference.write your answer in simplest form 2/9+1/3=

Mathematics

1 answer:

aniked [119]3 years ago

4 0

The answer is 5/9. Just find the common denominator which is 9 and the new equation is 2/9 + 3/9 = 5/9

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BGR=2

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3 years ago

You placed a 11% down payment on a new home. Given that the amount of the down payment was $18,210.18, determine the price of th

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D its D gotta be 20 charecters

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3 years ago

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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

If there is a 30% chance of sun tomorrow and a 40% chance of wind and no sun, what is the probability that it is windy, given th

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A, 57%, because 0.40 divided by all possible outcomes, which is 0.70 because we know it will not be sunny tomorrow, is 0.57.

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3 years ago

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!!Please Help Asap!!Besides being a fraction, what is another way to describe the meaning of 35/11?

viktelen [127]

Answer:

Well if you are saying another way to write 35/11 that would be in a decimal which is 3.18182

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3 years ago