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3 years ago

Find the different of 52.135 and 31.47

Mathematics

2 answers:

allsm [11]3 years ago

5 0

The difference is 20.665

Anvisha [2.4K]3 years ago

3 0

Answer:

20.665

Step-by-step explanation:

Don't forget to line up the decimals.

The numbers will stay the same no matter how many zeroes you add after it.

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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

How much is nine times eight ?

liubo4ka [24]

8 x 9 = 72

So 72 is your answer

3 0

3 years ago

When a number is doubled, the result is 48. What is the number

ddd [48]

The number u looking for is 28

3 0

3 years ago

Read 2 more answers

A shopkeeper sold a table for Rs 2400, he loses 6% of its cost price.find the cost price of the table.

egoroff_w [7]

Answer:

Table price is Rs 2544

Step-by-step explanation:

Table sold = Rs 2400

Losses = 6%

Now find 6% of 2400

( 2400 × 6 ) ÷ 100 = 144

Add this answer to table price sold

2400+ 144 = 2544

Mark brainliest if you understand

3 0

2 years ago

Simplify the expression to one number using order of operations:

geniusboy [140]

<h2><u>COMBINED OPERATIONS</u></h2><h3>Exercise</h3>

First, let's solve the subtraction (in parentheses):

$\mathsf{\dfrac{-8\left(2-6\right)}{2}}$

$\mathsf{\dfrac{-8(-4)}{2}}$

Now, let's solve the multiplication. Remember: in multiplication, two negative numbers will give a positive number:

$\mathsf{\dfrac{-8(-4)}{2}}$

$\mathsf{\dfrac{32}{2}}$

Finally, let's solve the division:

$\mathsf{\dfrac{32}{2} = 16}$

<h3><u>Answer</u>: 16</h3>

5 0

3 years ago