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Algebra 2/Trigonometry help?
2. If the terminal side of an angle in standard position intersects a circle at (-5, -12), what is the value of the sin of this angle?
3. The pendulum of a clock swings through an angle of 2.5 radians as its tip travels through an arc of 50 centimeters. Find the length of the pendulum, in centimeters.
4. Solve for x: log4 ( x^2 + 3x) - log4 (x + 5) = 1
If these could be answered it would be truly appreciated...
1 Answer
- MacArthurLv 48 years agoFavorite Answer
2. sinθ = y/r
y= -12 , and r =√((-5)^2+(-12)^2) = √(169)=13
sinθ = -12/13 [ANSWER]
3. S =Rθ
50 cm = R (2.5 radians)
R = 20cm [ANSWER]
4). log4 ( x^2 + 3x) - log4 (x + 5) = 1
log4 ((x^2+3x)/(x+5)) =1
(x^2+3x)/(x+5) = 4
(x^2+3x) = 4(x+5)
x^2+3x=4x+20
x^2-x-20= 0
(x-5)(x+4)=0
x=5, -4 [ANSWER]
