the answer is 5.10729613...
Diameter of the semicircle = 10 km.
Explanation: perimeter of semicircle = 1 2
the circumference + diameter Given: perimeter of semicircle = 25.7 k
m
Circumference of circle with radius r
= 2
π
r where 2
r
= diameter ⇒
25.7
=
22
π
r
+
2
r
⇒
25.7
=
π
r
+
2
r
=
r
(
π
+
2
) ⇒
25.7
=
r
(
3.14
+
2
)
=
r
(
5.14
) ⇒
r
=
=5m
⇒d
i
a
m
e
t
e
r
=
2
r
=
10
k
m
Answer:
The correct option is C.
Step-by-step explanation:
The bike shop owner rents out bikes and scooters.
The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.
Rent of bike = Fixed rent + Variable rent
The rent function of a bike is

Where, t is number of hours.
The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.
The rent function of a scooter is

Where, t is number of hours.
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
So by slope intercept form the rate of change of bike is $8 and rate of change of scooter is 5.
8>5
Therefor option C is correct.
Answer:
x =17.6
The three angles are
6x = 105.6
x-3 =14.6
3x+7 = 59.8
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
6x + x-3 + 3x+7 = 180
Combine like terms
10x +4 = 180
Subtract 4 from each side
10x+4-4= 180-4
10x = 176
Divide each side by 10
10x/10 =176/10
x =17.6
The three angles are
6x = 6*17.6= 105.6
x-3 = 17.6-3 =14.6
and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8
Domain is your x values, Range is your y values.