Answer:
Step-by-step explanation:
a^2+6^2 = 23^2
a^2 = 23^2 - 6^2
a^2 = 529 - 36
a^2 = 493
a = √493
a = 22,20
Answer:
$12.15/3
3 games
$4.05
It would cost $4.05 per game.
Step-by-step explanation:
The easiest way to solve this is by elimination.
3x - y = 6
6x + y = 21
Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:
9x = 27
Then solving for x leaves you with x = 3
Then you take the x value of three and plug it into to either of the equations, so
3(3) - y = 6
9 - y = 6
subtracting 9
-y = -3
then dividing by -1
y = 3
so the solution is x = 3 y = 3 or (3,3)
To get the height to the nick we use the trigonometry formula:
tan θ=opposite/adjacent
θ=73°
opposite=h ft
adjacent=38 ft
plugging our values we get:
tan 73=h/38
thus
h=38 tan 73
h=124.29~124.3 ft
Answer: <span>C. 124.3 ft</span>
