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2 years ago

6

Given that θ=

(\frac{3}{5} )" alt="cos^{-1} (\frac{3}{5} )" align="absmiddle" class="latex-formula">,find the exact value of tan²θ
step by step

1 answer:

GalinKa [24]2 years ago

5 0

What? Can you re-type this?

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4x + 12 = -7y<br> -y + 12 = 4x<br> Solve with elimination

statuscvo [17]

Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y

Then add the first equation to the second equation
4x +12 = -7y
<u>-4x + 12 </u>=<u> y </u> this eliminates the x's
<u>24</u> = -<u> 6y</u> then divide by - 6
- 6 - 6
- 4 = y<u>

</u>So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers<u>
</u> <u> 16 </u> = <u>4 x </u> then divide by 4<u>
</u> 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?

4 0

3 years ago

Read 2 more answers

HELP ME OUT PLS!!!!!!

Citrus2011 [14]

Answer:

The measure of angle 7 is 34 degrees.

Step-by-step explanation:

Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.

5 0

2 years ago

Please help find domain and range

Oxana [17]

<h3>Answer: Choice A</h3>

Domain: x > 4
Range: y > 0

========================================================

Explanation:

We want to avoid having a negative number under the square root. Solving $x-4 \ge 0$ leads to $x \ge 4$

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

-------------

The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression $\frac{3}{\sqrt{x-4}}$ is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

-------------

The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

3 0

2 years ago

Read 2 more answers

Round the decimal 0.575 to the nearest hundredth

soldier1979 [14.2K]

Answer:

0.58

Step-by-step explanation:

hundredths place is 2 after the decimal

any number 5 or higher will round up

so the 7 rounds up to a 8

Hope this helps!

7 0

2 years ago

Read 2 more answers

. A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age

Setler [38]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : $\mu=25$

Standard deviation : $\sigma=3.2$

Sample size : $n=50$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 24

$z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.21$

The p-value = $P(z\leq-2.21)= 0.0135526\approx0.0136$

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

3 0

2 years ago