Answer:
Let x be the amount of money
and n be the number of tickets:
Anything with || around it is a whole value. It’s always a positive. For example, |-56|=56. Now, if the negative was on the outside, it would be a negative like so; -|10| =-10
The sqrt of 19 is between 4.3 and 4.4.
The sqrt of 18 is between 4.2 and 4.3.
The sqrt of 22 is between 4.6 and 4.7.
And finally, the sqrt of 21 is between 4.5 and 4.6.
The 81 balls need to be split into some number of boxes. To figure out how many boxes, we can divide the 81 balls by the 7 ball capacity of a single box.
81/7 = 11.571
This means that we will need 11 full boxes, but there will be a remainder of balls which did not fit. Since we can't have a fraction of a box, we need to round up to 12 boxes to hold all 81 balls.
The answer is 12 boxes.
Answer:
Step-by-step explanation:
step 1
Find cos α
we know that
we have
substitute
Remember that Angle α lies in quadrant II
so
sec α is negative
Find the value of cos α
so
step 2
Find sin α
we know that
we have
substitute
step 3
Find sin β
we know that
we have
substitute
Remember that
Angle β lies in quadrant IV
so
sin β is negative
step 4
Find cos(α−β)
we know that
we have
substitute the given values
