Answer:
91 degrees
Step-by-step explanation:
We will find the inverse of the given functions:
y = x + 2 / x-2
(x-2) y = x + 2
-2y + xy = x + 2
-2y + xy = x + 2
x (y - 1) = 2 + 2y
x (y - 1) = 2 (y + 1)
x = 2 (y + 1) / (y - 1)
f (x) ^ - 1 = 2 (x + 1) / (x - 1)
The inverse is different.
f (x) = x + 1 / x-1
y = x + 1 / x-1
(x-1) y = x + 1
-y + xy = x + 1
x (y - 1) = 1 + y
x (y - 1) = (y + 1)
x = (y + 1) / (y - 1)
f (x) ^ - 1 = (x + 1) / (x - 1)
The inverse is the same.
Answer:
f (x) = x + 1 / x-1
f (x) ^ - 1 = (x + 1) / (x - 1)
f (x) = f (x) ^ - 1
Answer:
<h2>The volume of water in the vase is 339.33 in^3</h2>
Step-by-step explanation:
To calculate the volume of water in the vase we need the following parameters
1. the diameter/radius of the vase
2. the height /level of water in the vase
Given data
diameter d= 6 in
radius = d/2= 6/2 = 3 in
height of water h= 12 in
we know that the expression for the volume of a cylinder is given as
Inserting our data we have
Exact Form:
x = 34/7
Decimal Form:
x= 4. 857142
Mixed Number Form:
x= 4 6/7
Answer:
- The circumference of the circle in term of pi = 10π inches
- The circumference of the circle us 3.14 as pi = 31.4 inches
Step-by-step explanation:
Given
The radius of the circle = r = 5 in
We know that diameter is twice the radius.
so d = 2r = 2(5) = 10 in
<u>Finding the circumference of the circle in terms of pi</u>
Using the formula to find the circumference of the circle
C = dπ
C = 10×π
C = 10π inches
Thus, the circumference of the circle in term of pi = 10π inches
<u>Finding the circumference of the circle using π = 3.14</u>
We know that the formula to find the circumference of the circle
C = dπ
Given
π = 3.14
substituting π = 3.14 to find the circumference of the circle
C = 10×3.14
C = 31.4 inches
Thus, the circumference of the circle = 31.4 inches
