CPhill

Note that   3-4-5  is a well-known RT

Any multiple  of this set is also a RT

So

5 (3 - 4 - 5)   =    15 - 20 - 25

The other side is

sqrt ( 360^2 - 160^2)  ≈  322.49 ft

So.....the perimeter is  2  (160 + 322.49)  = 964.98 ft

A circle is the set of all points in a plane that are the same distance from a fixed point called the center.

V  =  pi * r^2 * h

441 pi  =  pi * 7^2   * h       divide out pi

441   =  49 * h      divide both sides by 49

9 cm   =  h

First one :

We can use the tangent here

tan (90 - 27)  =  d  / 42        where d is what we are looking for

tan (63)  =  d / 42      multiply both sides by 42

42 * tan (63)  =  d  =  82.4 ft     ≈  82 ft

Correct  !!!

EP made a slight typo...

Vol   =  16^2  * 15 / 3  =   256 * 5  =   1280  ft^3

V   =

(723)^2  (341)  / 3  = 

59,416,863  ft^3

E

A

Note, RP

P  = (12, -4)

P'  =  ( 18, - 6)

We added  6  to the x coordnate of P  to get the x coordinate of P'

And we subtracted 2 from the y coordinate of P  to get the y coordinate of P'

So...we need to do the same to the coordinates of Q...so we have

(-16 + 6, 8 - 2)  =  (-10, 6)  =   Q'

x  = y   (1)

y = x^2 + 3x -3    (2)

Sub  (1)  into (2)

x  =  x^2  +3 x  - 3     subtract x from both sides

 0  =  x^2 + 2x - 3      factor

0  =  ( x + 3) ( x - 1)

Setting  both of the factors equal to 0  we have that

x + 3  =  0              x - 1  = 0

x  =  - 3                  x  =  1

Note..if  x  = y   .....then  (1, 1)  is a solution  ⇒  "C"