Answer:
To find a
sin 30=a/6in
1/2=a/6in
2a=6in
a=6in/2
a=3in
To find b
cos 30=b/6in
/3/2=b/6in
2b=/3*6in
b=2/3(two radical three)
I don't get the radical sign so I use / sign on the last 3 steps on the second
Sin θ = opposite / hypotenuse
sin A = 8 / 10
sin A = 4 / 5
Option B is your answer.
Answer:
F(n) = 2n – 2
Step-by-step explanation:
The sequence 0, 2, 4, 6
First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)
This is illustrated:
Let us calculate the common difference (d)
Common difference (d) = 2nd term – first term
Common difference (d) = 3rd term – 2nd term
=> 2 – 0 = 2
=> 4 – 2 = 2
The common difference (d) = 2.
Common ratio (r) = 2nd term /1st term
Common ratio (r) = 3rd term /2nd term
=> 2/0 = undefined
=> 4/2 = 2
There is no common ratio.
Since we have a common difference, therefore the sequence is arithmetic progression.
Now, let us obtain an expression for the sequence.
This can be obtained by using the arithmetic progression formula as shown below:
F(n) = a + (n – 1)d
a is the first term
n is the number of term
d is the common difference.
The sequence 0, 2, 4, 6
The first term (a) = 0
Common difference (d) = 2
F(n) = a + (n – 1)d
F(n) = 0 + (n – 1)2
F(n) = 2n – 2
Answer:
(f+g)(x) = 3x² + (3/2)X - 9
Step-by-step explanation:
f(x) = 1/2*x - 3
g(x) = 3x²+x-6
then (f+g)(x) i f(x) + g(x)
1/2*x - 3 + 3x²+x-6
3x² + 1.5X - 9
3x² + (3/2)X - 9
