CPhill

Top  13 * 16  =  208

Two triangles at front and back at the top  =  5 * 12   =  60

" Left Side"  at the top  = 5 * 16  =  80

Two sides  of 16*7  =  2*16*7  =  224

Front and back at the bottom part  =  2*12*7  = 168

Bottom  = 12 * 16  =  192

Adding all of these

208 + 60 + 80 + 224 + 168 + 192  =

932  ft^2

-5  + something  =  0   ⇒  something  = 5

-5  +  something  =   2 ⇒  something  = 7

So     (x + 5 , y + 7)

U'  = (-5 +  5, 1 + 7)  =   (0, 8)   =  "d"

3 right, 4 down ⇒  "a"

(x - 6, y + 4)   ⇒  "d"

YIPPPEEEEE!!!!

If the perimeter is 26....the length and width sum  is  1/2 of this  =  13

So.....using the Pythagorean Theorem

L    W

12  1   produces a diagonal of √ [12^2 + 1^2]   = √145

11  2      = √[11^2 + 2^2 ]  =  √125

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7   6       ≈ √ [ 7^2 + 6^2 ]  = √85

And this is the shortest diagonal possible for the given conditions

First one

We can use the sine, here

sin (67.4)  = 12 / r        rearrange as

r  =  12  / sin (67.4)  =     13

Second one

cosB  =  16/ 20   =  4/5

sinB  = √ [ 1 - cos^2B]  =√ [ 1 - (4/5)^2]  = √[9/25]  =  3/5

Third one :

tan A  =  a/b

Note that  angle  BAE  =  angle  ECD

And  angle ABE  =  angle  EDC

So....by AA congruency, triangle ABE  is similar to triangle CDE

And CD : AB   =   2: 3

Then the height  of CDE  = CF   is 2/3 height  of  ABE  = FB

So.... CF : FB  =  2 : 3

And angle BFE  = angle BCD

And angle BEF   =  angle BDC

So,again, by AA congruency, triangle BDC  is similar to triangle BEF

But  there are 5 parts  of BC....and  BF  is 3/5 of these

So......BF  is 3/5  of  BC 

So....EF  is 3/5  of DC   =  (3/5) (100)  =    60 (cm)

The x coordinate of each original vertex is shifted 3 units to the left   and the y coordinate is shifted 3 units  up

So.... "c"  is the only possibility

Notice that the number of fish  is

[52 + 61 + 87 ]  =  200

Since  800 fish  would be 4 times this....the  number of blue gill would also be 4 times as much  =

4 * 87   =

348

2.   ⇒   RQTS  =  EDCF

So......angle  R  is the image of angle E 

3. ⇒  DE  =  QR

2)

This parabola opens to the left  because the directrix  lies to the right of the vertex

So  we have the form

-4px  = y^2     ⇒   p   = 4.75

-4(4.75)x = y^2

-19x = y^2       divide both sides by  (-19)

x  =  (-1/19) y^2