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Answered.....

Find the trapezoidal area

10 x (8+12)/2    = 100 in²

volume =  100 in²  x 20 in = 2000 in³

10 times per month x 12 months = 120 times per year

120 x 2000 = 240  000 in³       which converts to 138.89 cu ft per year

138.89 ft³ / 1.25 ft³/bag = 111.11 bags per yer ~~ 111 bags/yr

Hang in there .....it gets easier ! 

Hmmmmm.... if this is just a counting game....I count 30        How many did you find?

thanks, first time doing this kind of problems...

Tyler needs 5 lunches total

$ 4.50/ 3 lunches    *    5 lunches  =   $ 4.50/3   * 5 = $.........

if f(x)= (-3/4)x what is f(7/4)           put in   7/4   for 'x'

          = -3/4 * 7/4 =.......

H=8; M=15; A=abs((30*H) - (5.5*M));print"A =", A,"Degrees")

A = 157.5 Degrees

There are 34 possible values of b.

The answer is 3/(dmn).

x =  -(√6) + 4  x = (sqrt6) + 4

Oh! I get it now! Because we know that intersection point splits the lines directly in half, we get half of line PR/2=7 and QS/2=24!

With this information we can use the pythagorean theorem for the hypotnouse wich is also the side length is 25. Because all of the side lengths are the same we can just do 25 times 4 which gives us 100!

So this means that the perimeter of PQRS is 100

You start off by subracting one fourth of the houses so 3/4 of the houses are left. 3/4 of 3/4 is 9/16. 3/4 - 9/16 = 3/16. 3/16 of 64 is 12.

10÷2/3 = 10*3/2 = 15

ok, thanks

oh that explains the steps! I was just assuming that lines AP, BP, and CP were all 3. 

Thx!  

Is this just solve for x? so if then all positive numbers are soultions...

If you multiply by the LCM (least common multipier)

then you get the equation,

2x+3x=5x

When you simplify the left side you get

5x=5x

If you divide by 5 you get 

x=x

Or 

At the 5x=5x part and subtract you get 

0=0

So, this means that all real numbers are solutions. 

Hope this helps! 

~Wolfie

ContinueAP down to line AB. Call this point of intersection "Q".

Let  AP  =  BP  =  CP  =  x.

Then PQ  =  6 - x.

Triangle(APQ) is a right triangle with  AP  =  x,  AQ  =  3,  and  PQ  =  6 - x.

By the Pythagorean Theorem:  x²  =  3²  +  (6 - x)²

                                                  x²  =  9  +  (36 - 12x + x²)

                                                   0  =  9  +  36  - 12x

                                                12x  =  45

                                                    x  =  3.75  =  AP  =  BP  =  CP

PQ  =  CQ - CP

PQ  =  6 - 3.75  =  2.25

Area(triangle(APB)  =  ½·AB·PQ  =  ½·6·2.25  =  6.75 sq in. 

thank you!

x·y  =  36  for these points:

(1, 36)

(2, 18)

(3, 12)

(4, 9)

(6, 6)

(9, 4)

(12, 3)

(18, 2)

(36, 1)

Since there are two congruent quadrilaterals, each quadrilateral will get one-half of the perimeter of the square. The perimeter of the square is 8a, so each quadrilateral will have 4a.

Each quadrilateral also gets the length of the diagonal cut.

The left-hand end of the diagonal will occur when x = -a.

When x = -a, y = -a/2, so the point is (-a, -a/2).

The right-hand end of the diagonal occurs when x = a.

When x = a, y = a/2, so the point is (a, a/2).

Using the distance formula to find the length from (-a, -a/2) to (a, a/2):

distance  =  sqrt( (a - a)² + (a/2 - -a/2)² )  =  sqrt( (2a)² + (a)² )  =  sqrt( 5a² )  =  sqrt(5)·a.

So, the perimeter of each quadrilater is  4a + sqrt(5)·a  or  ( 4 + sqrt(5) )·a

Hi there!!

So, we know that 10 in fraction form is \(\frac{10}{1}\)

and when we divide fractions we  flip the second fraction so the numartor is in the demoninator and vise versa.

So we get the exspression

\(\frac{10}{1}\cdot \frac{3}{2}\)

I hope that you can figure it out from here!!

~Wolfie

A = 11   and    B = 13.    11^3  +  13^2 =1,331  +  169 = 1,500

For 8 tosses of a die, you have a total of :209,952 combinations that are multiples of 8. 

Therefore, the probability is: 209,952 / 6^8 =1 / 8

Oh that makes sense, thank you!