Answer:
10. 20.9°
11. 73.2°
Step-by-step explanation:
The inverse sine function is used to find the angle from its sine value.
<h3>10.</h3>
In each case, the equation is of the form ...
a/sin(x) = b/c
Multiplying both sides by c/b·sin(x), we find the solution is ...
sin(x) = ac/b . . . . . find sin(x)
x = arcsin(ac/b) . . . . . find the corresponding angle
For the given values a=7.2, b=13, c=sin(40°), we have ...
x = arcsin(7.2sin(40°)/13) ≈ 20.9°
<h3>11.</h3>
For the given values a=6.53, b=√40, c=sin(68°), we have ...
x = arcsin(6.53sin(68°)/√40) ≈ 73.2°
Answer:
a) 34
b) 30
Step-by-step explanation:
so the nth term is just the position on the term, so if u want to find the 5th term you just have to substitute 5 in for n and solve!
a) 6n + 4
= 6(5) + 4
= 30 + 4
= 34 --> the 5th term for a sequence defined by 6n+4 is 34
b) n^2 + 5
= (5)^2 + 5
= 25 + 5
= 30 --> the 5th term for a sequence defined by n^2 + 5 is 30
hope this helps!
<span>Proportions happen because two events or scenarios are related or associated with one another </span>
G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)
= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)
g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0
x = 2 or x = 0.5