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evablogger [386]
2 years ago
12

Angles A and B are complementary. If cos A = 7x − 9 and sin B = 4x + 15, what is the value of x?

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

The value of x according to the described angles is; 8

<h3>Complementary angles</h3>

If two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.

From the statement above, it follows that;

  • 4x + 15 = 7x -9

Collect like terms;

  • 15 +9 = 7x - 4x

  • 3x = 24

Divide both sides by 3;

x = 24/3 = 8.

Read more on complementary angles;

brainly.com/question/16281260

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4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference
san4es73 [151]

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

6 0
3 years ago
Dillon says that 4b and -2b are not like terms because 4b is positive and -2b is negative. Is he correct? Explain.
Novosadov [1.4K]
No, that is not a factor to make it not a like term.
6 0
3 years ago
Read 2 more answers
PLEASE HELP PLEASE HELP PLEASE
WARRIOR [948]

f is given as -3

-3 is greater than -4, so use the second equation 3x-5.

replace x with -3 and calculate:

3(-3) - 5 = -9 - 5 = -14


The answer is -14.

6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
kipiarov [429]
\frac{5x^{5}-3x^{3}+2x^{2}-x}{x+2}=5x^{4}-10x^{3}+17x^{2}-32x+63- \frac{126}{x+2}

The coefficient of the x term is -32.
7 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Nadya [2.5K]

Answer: b) rolled three times, number of 2s rolled

              d) rolled twice, number of odds rolled

<u>Step-by-step explanation:</u>

A binomial experiment must meet the following criteria:

  1. There must be a fixed number of trials (rolls)
  2. Each trial (roll) is independent of the others
  3. There are only two outcomes (success or fail)
  4. The probability of each outcome remains constant from trial to trial

a) rolled twice --> satisfies #1 & #2 (n = 2)

   X is the sum --> fails #3 (more than two outcomes)

b) rolled three times --> satisfies #1 & #2 (n = 3)

   X is the number of 2s rolled --> satisfies #3 & #4 (P success = 1/6)

c) rolled an unknown number of times - fails #1

d) rolled twice --> satisfies #1 & #2 (n = 2)

   X is the number of odds rolled --> satisfies #3 & #4 (P success = 1/2)

5 0
3 years ago
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