An army of orcs has marched upon King Amit's stronghold, setting up camp a safe distance away (or so they
think!). What the orcs don't know is that the king and his engineers have spent the past decade developing
advanced catapulting technology
King Amit has created a map to help him compute the distance from each of his two best catapults to the
enemy orc camp (shown below).
To what distance should King Amit calibrate catapult B to fire?
Do not round during your calculations, Round your final answer to the nearest meter.
Enemy ore camp
?
96
58°
B
А
145 m

Step-by-step explanation:

Sin(26) / 145 = sin (96) /d

d x sin (26)= 145 x sin (96)

d = 145 x sin( 96) / sin(26)

Which should sum up to d ~329m

the answer is b.)

< 1=< 2

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.