The entire circle has a central angle of 360°.
Because the radius is 6 mi, the area of the circle is
π(6)² = 36π mi².
The sector has a central angle of 60°, therefore it occupies 60/360 = 1/6 of the area of the circle.
The area of the sector is
(1/6)*36π = 6π mi² = 18.85 mi²
Answer: 6π mi² or 18.85 mi².
Step-by-step explanation: Let
Let
y
be the total fee, and
x
the number of months.
Equation 1:
y
=
50
+
55
x
Equation 2:
y
=
200
+
45
x
Solve the system for
x
and
y
:
50
+
55
x
=
200
+
45
x
10
x
=
150
x
=
15
y
=
200
+
45
(
15
)
y
=
875
∴
The total amount paid to both gyms is equal after
15
months and will be
$
875
.
Hopefully this helps!
f(x) = 6x
To find the inverse, replace f(x) with Y:
y = 6x
Now switch the variables:
x = 6y
Solve for Y by dividing both sides by 6:
y = x/6
Now replace y with f^-1 (x):
f^-1 (x) = x/6
The mean is the average number from the group of numbers.
In this case, the average of the numbers 2, 4, 0, 3, 4, 1, 3, 1, 1, 5 is 2.4.
This is discovered by adding all the numbers together (which in this case is 24) and dividing that number by the amount of numbers in the group (in this case it's 10).
24 ÷ 10 = 2.4
Therefore the mean is 2.4.
