Answer:
sin θ = 
Step-by-step explanation:
Given that,
cos θ = 
From the trigonometric functions,
cos θ = 
⇒ adjacent = 
, and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
= 
+ 
= 
+ 
9 = 3 +
= 9 - 3
= 6
x = 
Thus, opposite side =
So that,
sin θ = 
=
Therefore,
sin θ =
Answer:
B. 3(a + 7) + 3/(a + 2)
Step-by-step explanation:
Just substitute (a+2) in for every (x) in the equation:
f(a + 2) = 3 ((a + 2) + 5) + 4/(a+2)
= 3 (a + 7) + 4/(a+2)
Answer:
y=1/4x+5
Step-by-step explanation:
So remember that paralell lines have the same slope
y=1/4x-6
1/4=slope
so we set up a new equation in slope intercept form
y=mx+b
m=slope
b=y-intercept
y=1/4x+b
one solution si (-1,5) where x=-1 and y=5
subsitute
5=1/4(-1)+b
5=-1/4+b
add 1/4 to both sides
5+1/4=21/4=b
the answer is y=1/4x+21/4
Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0
