What are the values of m and theta diagram below? (43 pts) (e2020)

answer

m = (√3)/2

θ = 30°

explanation

the diagram in the question is unit circle.

part 1

we can find the value of m using pythagoras theorem.

c² = a²+b²

1² = (1/2)² +m²

m² = 1 - 1/4

=3/4

m = √(3/4)

=(√3)/2

part 2

to find the angle we can use the sine rule

sin θ = (1/2)/1

= 1/2

θ = sin⁻¹(1/2)

= 30°

i must say, that graph is very very misleading, for an angle θ open like that, the y-coordinate, namely the sine is definitely not 1/2, but it's claiming it's.

anyhow, if you check your unit circle, and you should already have one, if you haven't, this is a good time to get one, that angle is 30° or π/6, whose cosine,sine pair is .

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.