Answer: The largest common factor of 28 and 32 is 4.
Step-by-step explanation:
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 32 are 1, 2, 4, 8, 16, 32
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
B) 40 because if you add the two angles at the bottom which are shown to be congruent, then subtract 180 from the sum of those two, then you are left with your answer
The angle = 67<span>° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:
cos 67 = 137 / x
Solving for x;
x = 350.62 ft</span>
A.would be 50 cents and im not entirely sure about b but i think its 8
