If cos∠b = sin∠a and m∠a = 32°, what is the measure of ∠b?
32
58
90
148
not sure if its 58 or 90 but and explain why !

  58

Step-by-step explanation:

Consider the right triangle ABC, with C as the right angle. The sides opposite those angles are a, b, c, where c is the hypotenuse.

The mnemonic SOH CAH TOA tells you

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

so, ...

  sin(A) = a/c

  cos(B) = a/c = sin(A)

We know that in a right triangle, angle A and angle B are complementary. So, if angle A is 32°, angle B will be 90°-32° = 58°.

answer: $34.31

step-by-step explanation:

$11.99 x 3 = $35.97

$35.97 - 10% = $32.37

$32.37 + 6% = $34.31

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!