The sum of two numbers is 98. One number is 76 less than the other.

11 and 87

Step-by-step explanation:

Let's create an equation to solve this. (I know that it is just subtraction, but equations are great ways to understand concepts.)

We can represent each number as "n"

In that case, we have:

n + (n - 76) = 98

Grouping n's:

2n - 76 = 98.

Adding 76 to both sides:

2n = 174

Dividing by 2:

87.

Plug-and-chug:

87 + (87 - 76) = 98

Thus, our final answer is that one number is 11, the other 87.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92