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1.  The period is 2 seconds

2.    For June.... t  = 6

And  sin  ( [ pi (6) / 6 ] )  =  sin  (pi)  = 0

So.......the first part of the function evaluates to  0

So..... the average min  in June  is 44.1°

3.   90°

A quadrilateral is called a "parallelogram" if both pairs of opposite sides are parallel. Show that if WXYZ is a parallelogram, then < W = < Y and < X = < Z.  

(< = angle)

I put the link in the problem title.

Remember, the Pythagorean theorem says...

(leg)² + (other leg)²   =   (hypotenuse)²

Since the legs of this triangle are sides of a square, they must be the same length.

Let's call the length of each leg  s , and plug in  5√2  for the hypotenuse.

s² + s²   =   ( 5√2 )²

                                         Now we can solve this equation for  s .

2s²   =   ( 5√2 )²

2s²   =   5√2 * 5√2

                                         Multiplication can be done in any order.

2s²   =   5 * 5 * √2 * √2

                                         And  √2 * √2  = 2

2s²   =   25 * 2

                                         Divide both sides of the equation by  2 .

s²   =   25

                                         Take the positive, since  s  is side length, square root of both sides.

s   =   5

1 The measure of the arc is twice that of the inscribed angle....so...2 * 55°  =  110°

2.  A little tricky

CAE  =  360 - CFE  =  360  - 240  =  120°

So.....This is the opposite of the first one.....the measure of the inscribed angle  CAE is 1/2  that of its intercepted arc  =   120°

3.   Twice the inscribed angle measure  = the intercepted arc.....so....

2 * ( 2.5x + 4 )  =  7x - 2    simplify

5x  +  8  =  7x  - 2         add  2  to both sides.....subtract 5x from each side

10  =  2x       divide both sides by 2

5  = x

4.    RS  is congruent to DF

And   125x^6   =   125 * x^6   =   125 * x * x * x * x * x * x  

Thanks so much :DD

125x^6   =  125x⁶

As Severoth says......this is a representation of an exponent

1. 

SAS Similarity Theorem

2.   

40/ 32  =  x / 4       multiply both sides by   4

      4 * 40  / 32  = x

      160 / 32 = x

        5  =  x

3.  Triangle ABC  is similar to triangle DFG

So...... each side of DEF  is 6 times that of the corresponding side of ABC

So  DG  =  6AC  =  6*6   =  36

So.....the perimeter of  DFG  =  18 + 24 +  36   =  78

4.  A segment drawn parallel to a base splits the sides in  corresponding ratios

 AB / BD  =  AC / CE      .....so......

AB / 15  = 8 / 10       multiply both sides by   15

AB  = 15 * 8  / 10    =   120/10  =   12

5.  A bisected apex angle sets up the following ratio

AC / BC  = AD / BD

5 / 6  = x / 4.2       mltiply both sides by  4.2

4.2 * 5  /  6  = x    

21 / 6  =  x  =  7/2  =   3.5

6.  

8 / 12  =  [ x + 4 ] / [ 2x + 1 ]     cross-multiply

8 [ 2x + 1 ]  = 12 [ x + 4 ]          simplify

16x  +  8   =  12x   +  48        subtract 8, 12x   from both sides

4x  =  40          divide both sides by   4

x  = 10

7.   path length   =  √ [ 65^2 + 34^2  ]  =  √ [ 5381  =  73.4 m

if i'm not mistaken, it is an exponent, or a power. 

Here is the definition: a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g., 3 in 2^3 = 2 × 2 × 2).

i am now 

hope you're having a good day as well!

What's the question  ???

[ x √y ]  / [ y √ x ]

Write in exponential form

[ x * y^1/2 ] / [ y * x^1/2 ]       and we can write

[ x^1 / x^1/2 ]  *  [ y^1/2  / y^1  ]

Remember that        a^m / a^n   =   a^( m - n)

So we have

x^(1 - 1/2)  *  y^(1/2  - 1)

x^1/2   *   y^(-1/2) =

√x / √y          multiply top/bottom by √y

[ √ x√ y ]  / y

√[ xy] / y  ⇒   "C"

Yes, they are asking you to make a spreadsheet for all three options:

Monthly payments, which I have already given you.

Bi-Weekly payments, which you have to calculate and make a spreadsheet for all 4 x 26 =104 payments.

Weekly payments, which again yo have to calculate and make a spreadsheet for all 4 x 52 =208 payments.

Using the above rate of bi-weekly compound, the bi-weekly payments would be=$209.51. Then you will have to make a spreadsheet for 104 payments and add up all the interest he would have paid, which should come to a total of =$209.51 x 104 - $20,000 =$1,789.04.

Do the same thing for a weekly compound, and the weekly payments should be =$104.71. Then you will have to make a spreadsheet for 208 payments and add up all the interest he would have paid, which should come to a total of=$104.71 x 208 - $20,000 =$1,779.68 .

Nice, killersteve....!!!

Thank you so much!

First one

2. Corresponding Angles

3.  Triangle JKL  similar to Triangle JMN            AA similarity

4.  Corresponding Parts of Similar Triangles form equal ratios

5. Segment Addition  Postulate

6. Substitution

9. Subtracion Property of Equality

Second one

They are similar by AA  congruency

The areas  are in ratio     PQ^2 / AB^2  =    (4k)^2 / 4^2  =  16k^2 / 16  =  k^2

Thank you for reading my question! i am pretty sure its asking about monthly, weekly and biweekly payments, while the compounds stay at 2..... is it not?

:D thanks

Answer is D

Explanation: "This response represents the table that does not represent a function. The student who selects this response understands that the table of a function is the set of ordered pairs consisting of an input and exactly one corresponding output. The ordered pairs (3, 4) and (3, −4) are examples where an input, x, has more than one corresponding output, y."

Probably just a coincidence......

(5x^2  - ab)^3     

Let  a  =  5x^2         and  b  =   (ab)  

So     (a  - b)^3   =   a^3  -  3a^2b   +  3ab^2 -  b^3

So we have

1 * (5x^2)^3  -   3(5x^2)^2*ab  +  3(5x^2)*(ab)^2 -  1(ab)^3  =

125x^6  -  75x^4ab  +  15x^2(ab)^2  - (ab)^3

You're welcome, OBT...!!!

thx for giving me best answer <3