Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
Answer:
$283.05
Step-by-step explanation:
first divide $244.80 by 32, to find out how much you are making hourly. in this case you are making $7.65 an hour
next, multiply $7.65 by 5, to add the 5 hours, in this case you get $38.25.
next, add $38.25 to $244.80 and you get your answer!
Answer:75+5.5x equal or greater than 130
Step-by-step explanation:
41) you have a 40 day period
two visits with +75 centimeter growth each
3 visits with +6 each
in total 2*75+3*6=150+18=168
divide this by 40 days to get the average: 168/40=4.2 centimeters per day or 1.65 inches/day
42)
7x total
3x20
2x15
1x13
1x16
if you order these into a list:
13,15,15,16,20,20,20
the median is the middle value, in this case 16$
the mode is the most common value: 20$ which exists 3 times
You would want to go by reverse order of operations. This is a one step equation. You subtract 2 on both sides, in which you will get: -14 = k.
