In triangle abc, ∠a and ∠b are complementary, where cos a = 0.24. what is the measure, to the nearest degree of, ∠b?

Step-by-step explanation:

we know that

In this problem, if angle A and angle B are complementary, then triangle ABC is a right triangle

If two angles are complementary, then their sum is equal to 90 degrees and the cofunction identities state that the sine of one equals the cosine of the other and vice versa

so

sin(A)=cos(B)

cos(A)=sin(B)

we have

therefore

Find the measure of angle B

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

7 is the median   7.875 is the mean

step-by-step explanation:

3,4,5,6,8,11,13,13