Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
Answer:
Part 1: 
or 
Part 2: 
Step-by-step explanation:
To start things off, you must put everything on the opposite side of y so that you only have the y variable left.
In this case, put x onto the other side, making it negative since it's flipped, so you get 
(since the x is negative you're using subtraction from 11).
Next, divide both sides by 5 to make 5y into y:
Then in this case you turn y=f(x), but the system did it for you, so all you have to put is .
For the second part you must replace x with 2 since you need to find f(2).
Your answer for part 2 is .
Answer:
Step-by-step explanation:
Answer:
- 37
Step-by-step explanation:
5 • 2 • ( - 4 ) + 6 ÷ 2
= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]
= 10 • ( - 4 ) + 3
= - 40 + 3
= - 37
Answer:
54 -3n²
Step-by-step explanation:
The square of a number (n) is represented by n². Three times that value is represented by 3n².
The relation "a is subtracted from b" is represented as ...
b - a
When 3n² is subtracted from 54, the appropriate representation is ...
54 -3n²
