First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
Answer:
y=x^4 is a function
Explanation:
A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value. Therefore, x^4 is a function.
Since 20 percent of 175 is 35, the total cost of the meal is 210. Dividing that between 5 people, each person would pay $42.
We need the equivalence 1 lbs = 16 oz
We convert the 82 lbs to oz using the equivalence, that is:
82(16) = 1312
therefore 82 lbs are equivalent to 1312 oz, so the total of ounces we have is:
1312 + 11 = 1323
and that is the figure we have to divide by 9
1323/9 = 147
that is 147 oz
we can convert to lbs by dividing by 16
147/16 = 9.19
therefore the result is 147 oz or 9.19 lbs