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3 years ago

4. What is the distance of 350 Å units? [1 Å = 1 x 10-10 m.]

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

Answer:

Step-by-step explanation:

Multiply it by the conversion factor to get 350 x 10^-10 meters. You can simplify to 3.5 x 10^-8 meters

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A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

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3 years ago

Math question problem help

bagirrra123 [75]

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4 years ago

Find the value of x for which ABCD must be a parallelogram

Tamiku [17]

They are equal so...

15x+2 = 9x+20

15x-9x = 20-2

6x =18

x = 18/6 = 3

x = 3

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3 years ago

Please help!! I only have 30 minutes left!! Given that x and y are positive integers and (x·2)+x(2^2)+(y·2^3)+(y·2^4)=42, what i

Viktor [21]

Answer:

xy = 3

Step-by-step explanation:

The expression to be evaluated is:

$2\cdot x +4\cdot x + 8\cdot y + 16\cdot y = 42$

$6\cdot x + 24\cdot y = 42$

By some algebraic handling:

$6\cdot (x + 4\cdot y) = 42$

Where:

$x+4\cdot y = 7$

There is one possible solution:

x = 3, y = 1

And consequently,

xy = 3

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3 years ago

Geometry. Find the angle

lisabon 2012 [21]

Answer:

x = 10°; Angle A = 84°

Step-by-step explanation:

Angle A + Angle B = 180

5x + 34 + 2x + 76 = 180

7x + 110 = 180

7x = 70

x = 10

Angle A: 5(10) + 34 = 50 + 34 = 84°

7 0

3 years ago

Read 2 more answers

4. What is the distance of 350 Å units? [1 Å = 1 x 10-10 m.]​

4. What is the distance of 350 Å units? [1 Å = 1 x 10-10 m.]