When a hockey player attempts a shot he is 26 feet from the left post of the goal and 30 feet from the right post. The distance between a hockey goals posts is 6 feet. What is the players shot angle to the nearest degree? A. 15 degrees
B.13 degrees
C. 11 degrees
D.9 degrees

D.   9º

Step-by-step explanation:

Law of Cosines

c² = a² + b² - 2ab * cosC

6² = 26² + 30² - 2(26)(30) * cosC

36 = 676 + 900 - 1,560 * cosC

36 = 1,576 - 1.560 * cosC

Subtract 1,576 from both sides

-1,540 = - 1,560 * cosC

Divide both sides by -1,560

0.9871794872 = cosC

∅ = arccos 0.9871794872

∅ = 9.184497765314714

Rounded

∅ = 9º

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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