All Answers 358090 Answers

I'm assuming you meant save. If so, that is $3600

Personally i like 1/7 = 0,142857(142857)... 

We see that that the the two first decimals are 14 (7*2) followed by 28 (14*2) followed by 57 (28*2+1). Closely related are 22/7, used to approximate pi. 22/7 = 3,142857(142857)...

Other well known fractions are: 1/3 =0,33(3)...; 1/9=0,11(1)...; 1/11 = 0,0909(09)...; 1/6 = 0,166(6)...; and 1/14 = 0,07142857(714285)...

Here's a picture of the cross-section of the pyramid.....

AB = face height = 8     BC = 1/2 of the base length = 2

So the height =

√[(face height)² - (1/2 base length)²] =

√[ 8² - 2²]  = √(60) = about 7.746 ft.

TWENTY ONE jeezzz.... how can people be so dumb

yes indeed it is good sir

No prob, radio.....I gave you points for a "good effort"......it's always easy to make mistakes on here !!!!

Ahh. Forgot to combine on each step.

I think we have.......

a/5 + 15 = -(3 + 1/2)      change -(3 + 1/2)  to -3.5 

a/5 + 15 = -3.5               subtract 15 from both sides

a/5 = -15 -3.5                 simplify

a/5 = -18.5                     multiply both sides by 5

a =   (-18.5) *(5)      =    -92.5

We can find out how far each travels in one second by dividing the distance by the time taken.

$${\frac{{\mathtt{150}}}{{\mathtt{40}}}} = {\frac{{\mathtt{15}}}{{\mathtt{4}}}} = {\mathtt{3.75}}$$

$${\frac{{\mathtt{40}}}{{\mathtt{16}}}} = {\frac{{\mathtt{5}}}{{\mathtt{2}}}} = {\mathtt{2.5}}$$

150 yards in 40 seconds is faster because in one second, you travel 3.75 yards, but 40 yards in 16 seconds is only 2.5 yards a second.

150/40 = 15/4 = 3.75

40/16 =  5/2 = 2.5

The first thing is faster

Linear inequalities are very similar to linear equations.

Here is an example of a linear inequality and equation.

x+3=0

x+3<0

Move x to one side and the numbers to the other side while grouping like term.

x=3

x<3

When you multiply or divide by a negative number in inequalities, you need to remember to flip the inequality sign around.

-x<3

x>-3

or

x/-2>12

x<-24

Good job, geno......!!!!!

Another method is to just raise each side to the 30th power

This gives

10³  ??? 2¹⁰

1000 ???  (2⁵)²

1000 ???? (32)²

1000 < 1024

x = 6  tells you what the value for  x  is in the equation:  2 + 4(x - 1)  =  22

                                                                    because:  2 + 4(6 - 1)  =  22

                                                                                        2 + 4(5)  =  22

                                                                                           2 + 20  =  22

                                                                                                 22  =  22

This is a formula to turn centigrade temperature into fahrenheit temperatures.

Do you need help using it?

Since you don't have a right triangle, you can't use just sin, cos, or tan

Either use the Law of Cosines (if you have SAS or SSS) or otherwise use the Law of Sines.

Since you don't have either SAS or SSS, use the Law of Sines.

   sin(R) / r  =  sin(Q) / q                           

   sin(R) / 3.5  =  sin(70°) /6.2                       

This is as far as you have to go, but you could finish it:

   sin(R)  =   sin(70°) /6.2 x 3.5

     R  =  invSin(  sin(70°) /6.2 x 3.5 )

x = Sin C

Hey, Tori...... it's "D"......the Law of Sines says:

Sine of an angle/ It's opposite side = Sine of another angle/It's opposite side

4 x 10^3 x 2 x 10^2

Rearrange:  4 x 3 x 10^3 X 10^2

    =    12 x 10^5                   (add exponents when multiplying numbers with the same base)

    =    1.2 x 10^6

Get all the x-terms to one side and all the numbers to the other.

Subtract  7x  from both sides:

8x - 7x + 12  >  7x - 7x + 2

x + 12  >  2

Subtract  12  from both sides:

x + 12 - 12 > 2 - 12

x  >  -10

8x+12>7x+2

x+12>2

x>2-12

x>-2

RADIO......I love this kind of stuff  .....note another couple of neat ones you might find interesting.........

10000/99³ = .0103061015212836     ........each pair  of digits, starting from the left, is the sum of the first n digits (it fails after awhile!!)

1/9899 = .0001010203050813         ........each pair  of digits, starting from the left, begins the Fibonacci series  [00 being  Fib(0) ]

$${\frac{{\mathtt{a}}}{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15}} = {\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}$$

$${\frac{{\mathtt{a}}}{{\mathtt{5}}}} = {\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\mathtt{15}}$$

$${\mathtt{a}} = {\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\mathtt{15}}\right)$$

$${\mathtt{a}} = {\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\mathtt{15}}\right) \Rightarrow {\mathtt{a}} = -{\mathtt{87.5}}$$

Or if on the right side was-(3+1/2)

$${\frac{{\mathtt{a}}}{{\mathtt{5}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15}} = {\mathtt{\,-\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)$$

$${\mathtt{a}} = {\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{\,-\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{15}}$$

$${\mathtt{a}} = {\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{\,-\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{15}} \Rightarrow {\mathtt{a}} = -{\mathtt{2.5}}$$

$${\mathtt{\,-\,}}{\mathtt{6.8}}{\mathtt{\,-\,}}{\frac{{\mathtt{x}}}{{\mathtt{1.2}}}} = -{\mathtt{2.9}}$$

$${\mathtt{\,-\,}}{\mathtt{6.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.9}} = {\frac{{\mathtt{x}}}{{\mathtt{1.2}}}}$$

$${\mathtt{1.2}}{\mathtt{\,\times\,}}\left({\mathtt{\,-\,}}{\mathtt{6.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.9}}\right) = {\mathtt{x}}$$

$${\mathtt{1.2}}{\mathtt{\,\times\,}}\left({\mathtt{\,-\,}}{\mathtt{6.8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2.9}}\right) = {\mathtt{x}} \Rightarrow {\mathtt{x}} = {\mathtt{\,-\,}}{\frac{{\mathtt{117}}}{{\mathtt{25}}}} \Rightarrow {\mathtt{x}} = -{\mathtt{4.68}}$$

³√9  ≈ 2.08  ≈ 2.1 (rounded to the nearest tenth)

$${\frac{{\mathtt{1}}}{{\mathtt{81}}}} = {\mathtt{0.012\: \!345\: \!679\: \!012\: \!345\: \!7}}$$

Oh ok. I see.

This pattern works with $${\frac{{\mathtt{1}}}{{{\mathtt{99}}}^{{\mathtt{2}}}}}$$ which gives all the 2 digit numbers - 1 of them.