Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
Answer:
x = 120
Step-by-step explanation:
First you want to get the equation into the form cosx = a
2 cos
=1
Divide both sides by two to get it into the form.
cos= 
Now, on your calculator, use the inverse of cos, to solve for .
= 
( )
= 60
Now you want to find x, so multiply both sides by 2.
x = 60 * 2 = 120
x can have many solutions; however, I have only given you one.
What do you mean by expanded form?
Answer:
x = 29
y = 6
Step-by-step explanation:
Let the two numbers be represented as x and y
x + y = 35
x = 5y - 1
Substitute x as 5y -1 in equation one
5y -1 + y = 35
5y + y -1 = 35
Add 1 to both sides
6y - 1 + 1 = 35 + 1
6y = 36
Divide both sides by 6
6y/6= 36/6
y = 6
Now substitute y as 6 in any of the equations to get x.
Using equation one ,
We have
x + y = 35
x +6 = 35
Subtract 6 from both sides
x + 6 - 6 = 35 - 6
x = 29
