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Mathematics

1 answer:

Orlov [11]2 years ago

5 0

Answer: p=5+3/2 or p=5-3/2

Step-by-step explanation:

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Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

Traverion wants to find the answer to the question “How much money does the average college professor make?” He surveys 50 profe

Grace [21]

Answer: The results do not represent the population because the sample does not represent professors from different areas.

Step-by-step explanation:

Since Traverion wants to find the answer to the question “How much money does the average college professor make?”

He only surveys 50 professors from the university in his hometown.

Although he should survey professors from different areas but he only perform his survey only a specific university in his hometown.

Therefore, the survey is biased as the sample size is too small.

Hence, The results do not represent the population because the sample does not represent professors from different areas.

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