Answer/Step-by-step explanation:
✔️Find k:
Reference angle = 60°
Hypotenuse = k
Opposite = 9
Therefore, using trigonometric ratio, we have:
Multiply both sides by k
Divide both sides by sin(60)
Rationalize
✔️Find f:
Reference angle = 60°
Opposite = 9
Adjacent = f
Therefore, using trigonometric ratio, we have:
Multiply both sides by f
Divide both sides by tan(60)
Rationalize
Answer:
The last one
Step-by-step explanation:
45,000x.20=9,000
Given:
An exponential function 
passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
Taking square root on both sides.
For an exponential function b cannot be negative. So, 
.
Therefore, the value of a is 12000 and the value of b is 
.
Answer:
Area of 9 cm circle = PI*radius^2 = 254.47
Area of 9 cm sircle = PI*4*4 = 50.27
Are of shaded region = 254.47 -50.27 = 204 sq cm
Answer is the bottom one on the list.
Step-by-step explanation:
To compare fractions you need a common denominator, then you can make a
comparison. You would divide the number line between 0 and 1 (or any 2
whole numbers on the number line) based on that common denominator. For
example... if you were trying to compare 3/4 and 2/8, you would find
the common denominator (in this case 8) and convert the fractions...
3/4 = 6/8
2/8 stays as 2/8
Now
you would go to the number line between 0 and 1 and divide it into 8
equal pieces. 3/4 would go over the 6th division and 2/8 would go over
the second division.
That would give you a good visual that 2/8 < 3/4
[ / / / / / / / ]
0 2/8 3/4 1
