Answer:
n = (-4)
Step-by-step explanation:
Firstly expand the bracket
;2[3(1 - n) -2(1+n)]
;2[ 3 - 3n - 2 - 2n ]
;2[ -5n + 1 ]
; -10n + 2
then go back to the question and substitute the bracket with the simplified form above,
; 7n - 10n + 2 = 14
; -3n = 14 - 2
; -3n = 12...then divide both sides by (-3)
;Hence... n = (-4)
The answer for the empty space is 15
Answer:
Step-by-step explanation:
According to Pythagoras Theorem a² + b² = c²
And the questio is having a right triangle in it so,
(Height of the building)² + (Length of the shadow)² = (The distance from the top of the building to the tip of the shadow)²
⇒ a² + (12)² = (20)²
⇒ a² = (20)² - (12)²
⇒ a² = 400 - 144
⇒ a² = 256
⇒ a = √256
⇒ a = 16
Answer:
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees