Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = 
cosθ = 
cos(30°) = 
= 
= 
sin(30°) = 
= 
= 
cos(60°) =
=
=
sin(60°) = =
=
=
Options (1), (2), (3) and (4) are the correct options.
She can break up the nine in to 3 three time and add it to 35
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
<span>The first equation is
x + y = 27
For the second equation, there are twice as many girls (y) as boys (x), so you write:
y = 2x
Now you have a system of equations:
x + y = 27
y = 2x</span>
Answer:
7th grade team
Step-by-step explanation:
6th grade team: 16/4= 4 pumpkins per min
7th grade team: 48/8= 6 pumpkins per min
Therefore, the 7th grade team picked more pumpkins per min
