All Answers 358087 Answers

Call the distance to the westernmost building = x   ......and call the height of both buildings = h

So we have, with the respect to the westernmost building.....

tan 30  =  h/x     solving for h, we have ...... h = x * tan 30

And with respect to the easternmost building, we have

tan 45  = h/(500 - x)   =  x *tan(30)/ (500 - x)     simplify

tan 45/ tan 30  = x / (500 - x)

1/ [1/ √3] =  x/ (500 - x) 

√3  = x / (500 - x)   

√3(500 - x)  = x

√3*500 = x(1 +√3)

x = (√3)500/(1 +√3)    =    about 317 ft ....and this is the distance to the westernmost building

And  the distance to the easternmost building is  (500- x) ft = (500 - 317)ft =  about 183 ft

2/7 to the 6th power=(2/7)^6=64/117649

1/2*11*8=1/2*88=44

$${{\mathtt{10}}}^{{\mathtt{0.75}}} = {\mathtt{5.623\: \!413\: \!251\: \!903\: \!490\: \!8}}$$

700+1000000=1000700

We need to find out how long it takes the ball to reach the fence....so we have :

132 = 44cos(30)*t    simplify

132 = 44 [√(3) / 2] * t  =

132 = 22√(3) *t            divide both sides by 22√(3)

132/22√(3) = t = 3.46 sec to travel to the fence

And the height ( y ) at that point is given by:

y = 44(3.46)sin(30) - 4.9(3.46)^2 + 1 = about 18.46 m

So....the ball clears the fence by  (18.46 - 5)m = 13.46m

[ Alan, could you make sure this one is correct ??? ]

[Thanks to Dragonlance for pointing out my earlier error ....!!!]

LOL, Anonymous  !!!!.....If I could, I'd give you 6 points for that answer!!!  [However.....you must be registered to accumulate any points....just a thought....  ]

Who Thinks Sonic The Hedgehog Is Boring

Press the slash / button when using the calculator

21(2-x)+12x=44

→42-9x=44

Subtract 44 from both sides

-9x-2=0

Add 2 to both sides

-9x=2

Divide -9 to both sides

x=-2/9

80/125-900=16/25-900=-899.36

$${\mathtt{49}}{\mathtt{\,\small\textbf+\,}}{\mathtt{41}} = {\mathtt{90}}$$

Yes, we give help here ^-^ I'm assuming this is for homework, (hate homework) so I'll help you. Step  1  :

 2h h Simplify —— - — 3 3 

Adding fractions which have a common denominator :

 1.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 2h - (h) h ———————— = — 3 3 

Equation at the end of step  1  :

 h (— + 11) - 8 = 0 3 

Step  2  :

 h Simplify — + 11 3 

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

 11 11 • 3 11 = —— = —————— 1 3 

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 h + 11 • 3 h + 33 —————————— = —————— 3 3 

Equation at the end of step  2  :

 (h + 33) ———————— - 8 = 0 3 

Step  3  :

 h+33 Simplify ———— - 8 3 

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

 8 8 • 3 8 = — = ————— 1 3 

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 (h+33) - (8 • 3) h + 9 ———————————————— = ————— 3 3 

Equation at the end of step  3  :

 h + 9 ————— = 0 3 

Step  4  :

 h+9 Solve ——— = 0 3 

When a fraction equals zero :

 4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 h+9 ——— • 3 = 0 • 3 3 

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   h+9  = 0

Solving a Single Variable Equation :

 4.2      Solve  :    h+9 = 0 

 Subtract  9  from both sides of the equation : 
                      h = -9

One solution was found :

                   h = -9

Processing ends successfully

OK I use the words you give and add a few more for fun.

The famous martial artist Rosala create a large nuclear powered punch by picturing her BFs face in the ice. She do this punch by accelerating her arm. When her arm accelerates it has velocity. Multiply velocity by the mass of her arm it give it momentum and the force is with her.

When her fist is at maximum velocity it make contact with the ice and the momentum goes to zero as the force goes into the ice and her arm stop moving. When her arm reach zero velocity she pull it back as fast as she punch it forward leaving all the energy in the ice and that shatter it to pieces.

Now Rosala is happy. For cracking ice. :)

I think this is close to what you need. It use all the words anyway.

There is a lot on math in this.

P is momentum and m is mass and v is velocity.

P=m*v F is Force F= the change of velocity divided by the change of time.

The d mean change. I don’t know why d is use for this. Maybe it stand for the difference.

F=dv/dt

You not ask for energy but it is here.

E= 1/2m*v²

Lots of things to learn and lots of boys to beat up. :)

Do what is inside parentheses first:  16 ÷ 8  =  3=2  and  15 - 2  =  13

(2)2 + [13x32]

4 + 416  =  420

9(4 - 7x) - 3(2 + 5x)

Distribute first:

36 - 63x - 6 - 15 x

Simplify, by combining like terms:

30 - 78x

6(5 - 8v) + 12  =  -54

First:  use the distributive property:

30 - 48v + 12  =  -54

Now, simplify the left side:

-48v + 42  =  -54

Subtract 42 from both sides:

-48v  =  -96

Divide both sides by -48:

v  =  2

(5/2)^x - 1  =  4/25

Add 1 to both sides:

(5/2)^x  =  29/25

To solve an equation with the variable in the exponent, use logs:

log(5/2)^x  =  log(29/25)

An exponent in a log expression comes out as a multiplier:

x · log(5/2)  =  log(29/25)

Divide both sides by log(5/2):

x  =  log(29/25) / log(5/2)

x  =  0.162  (approximately)

How many 1/3^rds are there in 14 1/3?

Divide 14 1/3 by 1/3 to get the answer.

14 1/3  ÷  1/3

Write both as common fractions:

14 1/3  =  (14 x 3 + 1)/3  =  (42 + 1)/3  =  43/3

43/3  ÷  1/3

To divide by a fraction, multiply by its reciprocal:

43/3 x 3/1  =  (43 x 3) / (3 x 1)  =  129 / 3  =  43

(x - 6)²  =  (x - 6)(x - 6)

             =  x·x - 6x - 6x + 36

             =  x² - 12x + 36

Houston  =  5.2 x El Paso

46  =  5.2 x El Paso

Divide by 5.2:

8.85  =  El Paso   --->   El Paso receives about 8.85 inches of rain.