Answer:
The cost of 8 comic books is $14
Step-by-step explanation:
Given
Required
Determine the cost of 8 books
First, we need to determine the cost of 1 book
Divide through by 20
Then multiply both sides by 8 to get the cost of 8
Hence;
<em>The cost of 8 comic books is $14</em>
The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2
Answer:
7. The numbers 14/81 are relatively prime
8. b=3
9. 0.00001
19. 11
Step-by-step explanation:
7. Relatively prime numbers have no common factors. We only have to factor each number and compare
14=2*7
35=5*7
38=2*19
81=9*9
91=7*13
The first two numbers have 7 in common
The second have 2 in common
The third set have no common factors
The fourth set have 7 in common
The numbers 14/81 are relatively prime
8. ![b^{-3}=\frac{1}{27} => b^3=27 => b=\sqrt[3]{27} =3](https://tex.z-dn.net/?f=b%5E%7B-3%7D%3D%5Cfrac%7B1%7D%7B27%7D%20%3D%3E%20b%5E3%3D27%20%3D%3E%20b%3D%5Csqrt%5B3%5D%7B27%7D%20%3D3)
9. 
10. 100,000,000,000=10*10*...10 as many times as zeroes there are, so
9514 1404 393
Answer:
- arithmetic: 130
- geometric: ±50
Step-by-step explanation:
<u>Arithmetic sequence</u>
The terms of an arithmetic sequence have common difference. If the missing term is x, then the difference between terms is the same:
x -250 = 10 -x
2x = 260 . . . . . . add 250+x to both sides
x = 130 . . . . . . . . divide by 2
The missing term of an arithmetic sequence is 130.
(the common difference is -120)
__
<u>Geometric sequence</u>
The terms of a geometric sequence have a common ratio. If the missing term is x, then the ratios between terms are the same:
x/250 = 10/x
x^2 = 2500 . . . . . . . multiply both sides by 250x
x = ±√2500 = ±50 . . . take the square root
The missing term of a geometric sequence is +50 or -50.
(the common ratio is ±1/5)
