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You didn't ask a question.....

Sin 32  = 20 / length       ( 32  is 90 - 58)

F = m * a   

    Given:   F = 400  m = 25   a = ?

F/m = a = .......... m/s²

Angle AOB is 44 degrees.

[4 / (4+7) ]  *  44 ==16/2 ==8 inches - the width of the rectangle.

[7 / (4+7) ]  *  44==28/2==14 inches - the length of the rectangle.

14574974877495961*2^25*3^15*7^6*11^3*13^2*17^2*19*23*31/(ln(e^7)*F(5))

=2077315 4760762281 5488729950 4201123992 6711137075.2

Hi, could you post the justification to this as well?

Thank you

2 + 6n = 26   

   solve for n ...the notepad cost

Smaller circles are radius 5

Larger circle area -   2 X   smaller circle area = shaded area

pi (10²)     -  2 X ( pi 5² ) = shaded area

the awser is 5.35

This occurs when:

a = 1   and    b = 9

Sum [1 + 9]== 10

1089 is the smallest 4-digit number.

1089 ?

The least possible value occurs when:

a = - 1   and   b = 3, which gives the result of:

- 8 / 9 - The least possible value.

12x + 5 = 21    subtract '5' from both sides of the equation

12x = 16          now divide both sides by 12 and you will have your answer (you may need to reduce the fraction)

x = ............

(84-71.40) / 84  x 100% = 15% discount

1 - [71.40 / 84] ==0.15  x  100 ==15% - the discount rate.

This one is kind of easy once you see how it works.

What you do is move all the numbers with "x" to one side and all the numbers to another side.

2x + 8 = -5x + 11

2x + 5x = 11 - 8

7x = 3 

x = 3/7

Ok so you have to divide 71.40 by 84, then you multiply the result by 100 to get a percentage.

71.40 / 84= 0.85

0.85*100= 85%

Edit: I forgot to subtract it from 100%. The answer would be 15%. :)

To minimize (1/a + 1/b)(1/b - 1/a), we take a = -5 and b = 1.  This gives us a minimum value of 24/25.

Not sure if I am answering your question because I am reading it as the smallest possible amount for 1/a +1/b.

The way to solve this is by picking the smallest numbers you can choose, which are -5 and 1.

It would solve as 1/-5 + 1/1= 1-1/5

The final answer would be 4/5.

Hopefully this helps.

The area of triangle PBO is 7/3.