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Hello there

Use PEMDAS

75-61=14

99*54=5346

5346/12=445.5

445.5+96=541.5

541.5-14=527.5

Hope this helped!

We have SSA (the ambiguous case) here..

Using the Law of Sines, we have

sinA / a = Sin B / b

sinA / 7 = sin40 / 5

sinA = (7/5)sin40

sin^-1((7/5)sin 40) =A = about 64.15 degrees

So, angle C is 180 - 40 - 64.15 = 75.85 degrees

And side C is given by

a / sin A = c / sin C

5 / sin 40 = c / sin 75.85 degrees

c = 5 sin75.85 / sin 40  = 7.54

But....angle A could also be a second quadrant angle = 180 - 64.15 = 115.85

So the other possible angles are 40, 115.85 and 24.15

And side c in this triangle is given by

5 / sin 40 = c / sin 24.15

c = 5sin24.15/sin40 = 3.18

So the two triangle are (sides, angles)

a = 7, b = 5,  c = 7.54    A = 64.15, B = 40, C = 75.85   and

a = 7, b = 5, c = 3.18    A= 115.85, B = 40, C = 24.15

Hello Hugekase

Now knowing that...is there anything specific in percent?

Percent is part of a whole

(64^4)^2/(8^2)^7

64^(4*2)/64^7

64^8/64^7

64^(8-7)

64^1=64

(64^4)^2 / (8^2)^7  simplify

64 ^8 / 8^14       note, 64 = 8^2

(8^2)^8 / 8^14  =

8^16 / 8^14 =

8^(16 - 14)  =

8^2 =

64

Is there supposed to be something to solve here???

100x^2 - 40x + 4 = 1    subtract 1 from both sides

100x^2 - 40x + 3  = 0   factor

(10x -3)(10x -1) = 0

So, setting each factor to 0, we have

10x - 3 = 0   →  10x = 3 →    x = 3/10

10x - 1 = 0   →  10x = 1 →    x = 1/10

"a" is correct

Quadrillion.....Quintillion......Sextillion......Septillion, etc.

x^2 - (3/2)x - 23/16  = 0

Add 23/16 to both sides

x^2 -(3/2)x   = 23/16

Take (1/2) the coefficient on x, square it and add to both sides

So (1/2)(-3/2) = -3/4   and squaring this, we have 9/16

x^2 - (3/2)x + 9/16 = 23/16 + 9/16   factor the left side and simplify

(x - 3/4)^2 = 2    take both roots of each side

x - 3/4 = ±√2      add 3/4 to both sides

x = ±√2 + 3/4

So, x = √2 + 3/4    or x = -√2 + 3/4

"d" is correct

Just divide $6.83 by 8 to get your answer......

the square root of pi = 1.772004514666935 or rounded up would be 1.8 . 

$${\left|{\mathtt{6}}{\mathtt{\,-\,}}{\mathtt{9}}\right|} = {\mathtt{3}}$$

I just typed it straight in.  

       Not a problem.

@@ End of Day Wrap    Tues 16/12/14       Sydney,   Australia      Time 3:10 am   (Really Wed morn)        ♬

Hello everone, 

Our great answerers today were geno3141, happy7, SelenaPubblT, Nickdavis97, Heureka, saseflower, StarMari, Oboeduck, CPhill, Alan, Mihail, Cue123smile.  Thanks for all you wonderful answers.  

Here are a few interest posts:

1) flflvm97's daily logic puzzle -  Thanks flflvm97   

Wed 17/12/14

1)  Mathhelpneeded messaged this to me.  

"Happy7 and CPhill are incredible!  I want you to add this in your wrap."

Thanks Mathhelpneeded.  It makes our day when people show their appreciation.  Happy7 and CPhill will be chuffed (very pleased).    

These people are playing an oboe.     

I have added this to the sticky Topics  "Logic Puzzles"  

Thanks flflvm97 

Logic Puzzle      (thanks flflvm97)     17/12/14

its should be C

The co in cosine stands for complementary.  Complementary angles add up to 90 degrees

$$\\cos\theta=sin(90-\theta)\\
so\\
90-\theta=\theta+20$$

and you can finish it. :)

1.4/2=0.7

0.7 squared =0.49

$$\\x^2+1.4x+0.49=1.2+0.49\\
x^2+1.4x+0.49=1.69\\
(x+0.7)^2=1.3^2\\
x+0.7=\pm 1.3\\
x=0.6 \;\;or\;\;x=-2$$

Try this site.  

I work 8 hours and 45 minutes 6 days in a row. How much time is this comined

45 minutes is 3/4 of an hour

(8+3/4)*6 hours 

8*6=48hours

3/4*6=9/2 hours = 4 and a half hours = 4hours and 30 minutes

total = 48+4 hours and 30 minutes