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2 years ago

What would the number, 4 tens + 3 + eight hundred thousand + 5000 look like?

Mathematics

2 answers:

MrMuchimi2 years ago

4 0

805,043 just add them

qwelly [4]2 years ago

3 0

805043 would be the answer i believe

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Find the volume of this irregular figure.

hammer [34]

Answer:

I would say that the Answer is 35 I hope this isnt wrong..

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3 years ago

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The factors of 55 are________________________________.I know that 55 is a (prime/composite) number because...

statuscvo [17]

Answer:

11 & 5 are the factors of 55

Step-by-step explanation:

Factors of 55

11 × 5 = 55

Thus, 11 & 5 are the factors of 55

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2 years ago

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3 years ago

Solve the equation on the interval [0,2π). 7 sec x-7=0, x=?

Oksanka [162]

$\huge \bf༆ Answer ༄$

Let's solve ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:7 \sec(x) - 7 = 0$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:7 \sec(x) = 7$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sec(x) = 7 \div 7$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sec(x) = 1$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = 0$

8 0

2 years ago

A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.

Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

$\Rightarrow z=\frac{19652}{xy}$ ......(2)

putting the value of z in the equation (1)

$f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})$

$\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}$

The partial derivatives are

$f_x=y-\frac{39304}{x^2}$

$f_y=x-\frac{39304}{y^2}$

To find the dimension of the box set the partial derivatives $f_x=0$ and $f_y=0$ .Therefore $y-\frac{39304}{x^2}=0$

$\Rightarrow y=\frac{39304}{x^2}$ .......(3)

and $x-\frac{39304}{y^2}=0$

$\Rightarrow x=\frac{39304}{y^2}$ .......(4)

Now putting the x in equation (3)

$y =\frac {39304}{(\frac{39304}{y^2})^2}$

$\Rightarrow y=\frac{y^4}{39304}$

$\Rightarrow y^3= 39304$

⇒y=34 cm

Then $\Rightarrow x=\frac{39304}{34^2}$ =34 cm.

Putting the value of x and y in the equation (2)

$z=\frac{19652}{34 \times 24}$

=17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0

3 years ago