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iragen [17]
3 years ago
5

What is the relationship between the sine and cosine of complementary angles? a They are the same. b They are reciprocals. c The

re is no relationship d They equal 0.
Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

A. They are the same.

Step-by-step explanation:

The sine of any acute angle is equal to its cosine.

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Find a recursive formula for the sequence:
SVETLANKA909090 [29]

Answer:

  a_n=-2a_{n-1}+1

Step-by-step explanation:

Successive terms do not have a common difference or ratio, so the sequence is not arithmetic or geometric. We can get a clue as to its nature a couple of places:

  1. from the alternating signs, says there is a negative multiplier involved
  2. from the answer choices

It is helpful to look at the differences of terms:

  -5-3 = -8

  11 -(-5) = 16

  -21-11 = -32

These have a common ratio of -2, so match an exponential form with a ratio of -2 (the last answer choice). Trying that choice with n=1, 2, 3, 4 gives ...

  a[1] = 3

  a[2] = -2(3) +1 = -5

  a[3] = -2(-5) +1 = 11

  a[4] = -2(11) +1 = -21

These match the given sequence, so the appropriate recursive formula is ...

  \boxed{a_n=-2a_{n-1}+1}

4 0
3 years ago
Read 2 more answers
The Stem-and-Leaf plot shows the class average on the last math test. Select the true statement below.
Anestetic [448]
I think it's c. the mean was 89
6 0
3 years ago
In a classroom,
hodyreva [135]

Answer:

2 other students

Step-by-step explanation:

3 0
3 years ago
Will someone please help me with number 13 and 14 ?
Rina8888 [55]
13. side a = 330, side b = 180
      angle x = 180 - 25 = 155

side x = x^2 = a^2 + b^2 - 2ab*cos(x)

330^2 + 180^2 - 2(330)(180)*cos(155) = 498.6 = 499 miles

14. 72.1 degrees
5 0
3 years ago
What is the recursive rule for the sequence 1, −6, 36, −216, ... ? an=6⋅an−1 , a1=1 an=−6⋅an−1 , a1=1 an=−16⋅an−1 , a1=1 an=16⋅a
labwork [276]

Answer:

Option 2) a_n = -6(a_{n-1})            

Step-by-step explanation:

We are given the following sequence in the question:

1, -6, 36, -216, ...

We have to find the recursive relation for the sequence.

a_1 =1\\a_2 = -6 = -6(1) = -6(a_1)\\a_3 = 36 = -6(-6) = -6(a_2)\\a_4 = -216 = -6(36) = -6(a_3)

Thus, continuing in the following manner, we get,

a_n = -6(a_{n-1})

Thus, the recursive rule is given by

Option 2) a_n = -6(a_{n-1})

5 0
3 years ago
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