Answer:
b=8
Step-by-step explanation:
7b = 56
divide each side by 7
7b/7 = 56/7
b = 8
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
cos(2π/15) cos(4π/15) cos(8π/15) cos(14π/15) <span>
= cos(2π/15) cos(4π/15) cos(8π/15) cos(π – (π/15))
= cos(2π/15) cos(4π/15) cos(8π/15) * -cos(π/15)
= -cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15)
= -16sin(π/15) cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15) / [
16 sin(π/15) ]
= -8 * [ 2sin(π/15) cos(π/15) ] cos(2π/15) cos(4π/15)
cos(8π/15) / [ 16 sin(π/15) ]
= -8 sin(2π/15) cos(2π/15) cos(4π/15) cos(8π/15) / [ 16
sin(π/15) ]
= -4 * [ 2 sin(2π/15) cos(2π/15) ] cos(4π/15) cos(8π/15) / [
16 sin(π/15) ]
= -4 sin(4π/15) cos(4π/15) cos(8π/15) / [ 16 sin(π/15) ]
= -2 * [2 sin(4π/15) cos(4π/15) ] cos(8π/15) / [ 16 sin(π/15)
]
= -2 sin(8π/15) cos(8π/15) / [ 16 sin(π/15) ]
= -sin(16π/15) / [ 16 sin(π/15) ]
= -sin(π + π/15) / [ 16 sin(π/15) ]
= -1 * -sin(π/15) / [ 16 sin(π/15) ]
<span>= 1/16</span></span>
Answer: You need to find the radius...
Step-by-step explanation:
Answer:
Statement 3
Step-by-step explanation:
<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.
Suppose n = 25 (25 is positive integer), then
Since 5 is rational number, this statement is false.
<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.
Suppose n = 8 (8 is positive integer), then
Since is irrational number, this statement is false.
<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.
If n is a positive integer and square root of n is rational, then n is a perfect square.
If n is a positive integer and n is a perfect square, then square root of n is a rational number.
This statement is true.