Answer: the area is 20 square centimeters.
Step-by-step explanation:
The area of an arc of angle x in a circle of radius r is:
A = (x/3.14)*3.14*r^2 = x*r^2
here we have x = (4/5)*3.14 and r = 5cm
Then the area is:
A = (4/5)*(5cm)^2 = 20cm^2
There was 3 erasers in each pack because 2 times 3 is 6 plus 2 equals 8. so there are 3 in each pack.
Answer: she wants to rent the car for 11 days.
Step-by-step explanation:
Let x represent the number of additional days that Pamela wants to rent the car for.
Customers can pay $40 to rent a compact car for the first day plus $6 for each additional day. This means that the total cost of using this special for x days would be
40 + 6(x - 1) = 40 + 6x - 6
= 34 + 6x
Also, they can rent the same car for $30 the first day and $7 for every additional day beyond that. This means that the total cost of using this special for x days would be
30 + 7(x - 1) = 30 + 7x - 7
= 23 + 7x
Since she found out that the two specials are equivalent for x days, then
34 + 6x = 23 + 7x
7x - 6x = 34 - 23
x = 11
So find g(0) and g(3)
G(0) = 0^2 -5(0) +3 = 3
And g(3) = 3^2 - 5(3) +3 = 9 - 15 + 3 = 3 so there is no change in g(x) for that interval.
H(0) = 8(0) + 10 = 10
And h(3) = 8(3) + 10 = 34
So the change in h(x) for that interval is 24.
By the Pythagorean theorem
.. 15^2 = 10^2 +a^2
.. 225 = 100 +a^2
.. 125 = a^2
.. √125 = a
.. 5√5 = a ≈ 11.18
The missing side length is 5√5 cm.
