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3 years ago

Helppppp plz people!!!

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer:

Step-by-step explanation:

x^2/y

Let x=10 and y=5

10^2/5

100/5

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185÷5

oee [108]

Answer:

ill download in second ok? yes thnks!!!!

Step-by-step explanation:

4 0

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.

5 0

3 years ago

The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the

Blizzard [7]

Answer:

Step-by-step explanation:

Given that:

Cost of purchase and installation = 5323.50

Cost per window = 230.25

Cost of installation = 2100

Hence,

Total purchase cost of windows alone :

5323.50 - 2100 = 3,223.50

Therefore, the number of windows purchased is :

(Total purchase cost of windows alone / price per window)

(3,223.50 / 230.25)

= 14

Hence, 14 windows was purchased

7 0

3 years ago

How does the formula S=2B+Ph apply to finding the surface area of a right prism?

tigry1 [53]

Answer S−2BP=h

Explanation:isolate the Phterm on one side of the equation:S−2B=PhDivide both sides by P:S−2BP=h

Hopefully this helps!

brainlest if it rightt

8 0

3 years ago

A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy?

gtnhenbr [62]

In this question there are several information's of immense importance already given.
The number of pair of gloves that the merchant bought = 30 dozens
1 dozen = 12 gloves
Also
1 pair = 2 gloves
Then
The total numberof individual gloves bought
by the merchant = 30 * 12 * 2
= 720
The correct option among all the options given in the question is option "C" and it can be checked via the above solution.

3 0

3 years ago

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