Answer:
16 cm
Step-by-step explanation:
We have to first find the radius of the circle.
The area of a sector is given as:

where α = central angle of the sector = 120°
r = radius of the circle
Therefore:

The diameter of a circle is twice its radius, therefore:
D = 2 * 8 = 16 cm
The diameter of the circle is 16 cm
Let s = #small notebooks
Let L = #large notebooks
We Can set up two equations from the info given.
s + L = 6 bought 6 notebooks total
8s + 10L = 56 spent $56
Solve equation 1 for one variable.
L = 6-s
Plug 6-s in equation 2 in place of L
and solve for s
8s + 10(6-s) = 56
8s + 60 - 10s = 56
-2s + 60 = 56
-2s = -4
s = (-4)/(-2)
s = 2
We know s+L = 6 and s=2
2+L = 6
L = 4
4 large notebooks and 2 small notebooks
were purchased
The answer is x=4.5 because 9÷2=4.5 and 4.5×2=9
Answer:
The Current Insurance cost = $685.43
Step-by-step explanation:
Given that Dan pays £714.73 a year on his car insurance.
Reduced Percentage = 4.1%
so
Reduced Amount = 4.1% × 714.73
= [4.1 / 100] × [714.73]
= 0.041 × 714.73
= $29.30
The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.
so
Current Insurance cost = 714.73 - 29.30
= $685.43
Therefore, the Current Insurance cost = $685.43