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s2008m [1.1K]
3 years ago
9

Please Help me To solve this Problem

Mathematics
1 answer:
mart [117]3 years ago
3 0

You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.

Recall the Pythagorean identity,

cos²(φ) + sin²(φ) = 1

Multiply the equation uniformly by 1/cos²(φ),

cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)

1 + tan²(φ) = sec²(φ)

Solve for sec(φ) :

sec(φ) = - √(1 + tan²(φ))

Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then

sec(φ) = - √(1 + 4²) = -√17

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A house was valued at $100,000 in the year 1987. The value appreciated to $165,000 by the year 2002.
iris [78.8K]

Answer:

  A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.

  B) 3.39% per year

  C) $182,000

Step-by-step explanation:

A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.

  165000 = 100000(1 +r)^15

  1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root

  1.03394855265 -1 = r ≈ 0.0339

The value was multiplied by about 1.0339 each year.

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B) The value increased by about 3.39% per year.

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C) S = $100,000(1.03394855265)^18 ≈ $182,000

8 0
3 years ago
7(2x+5) = 11x-9-x <br><br> Please HELP
mr_godi [17]

Step-by-step explanation:

7(2x+5)=11x-9-x

14x+35=10x-9

4x+35=-9

4x=-44

x=-11

3 0
3 years ago
What numbers are a multiple of both 5 and 15
Aneli [31]

Answer: is 3


Step-by-step explanation: this is because you need to divide the two numbers and 3 go into 5 and 15.


4 0
3 years ago
For mutually exclusive events we can use the ____ Principle of Counting.
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Fundamental principle of  counting
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3 years ago
This is for middle school 9th grade please help me :)
Stolb23 [73]

Answer:

i think it's undefined

Step-by-step explanation:

7 0
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