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blondinia [14]
3 years ago
5

Which is an asymptote of the graph of the function y=tan(3/4x)?

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

ANSWER

x =  -  \frac{2\pi}{3}

EXPLANATION

The given function has equation

y =  \tan( \frac{3}{4}x)

This can be rewritten as

y =  \frac{ \sin( \frac{3}{4}x ) } { \cos(\frac{3}{4}x )}

The asymptote occurs at:

\cos(\frac{3}{4}x ) = 0

This implies that,

\frac{3}{4} x =  \frac{ \pi}{2}

x =  \frac{ \pi}{2}  \times  \frac{4}{3}

x =  \frac{2\pi}{3}

Or

\frac{3}{4} x =  -  \frac{ \pi}{2}

x =  \frac{ -  \pi}{2}  \times  \frac{4}{3}

x =   - \frac{2\pi}{3}

The second choice is correct.

MArishka [77]3 years ago
6 0

Answer:

B) x = \frac{2\pi }{3}

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps! :)

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Mr. Granville needs some plywood that is about three over four-inch thick. Which plywood is closest to three over four-inch thic
Makovka662 [10]

Answer:

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

Step-by-step explanation:

we have

3/4 in

Verify each value

case A) 13/16 in

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Find the difference

13/16-12/16=1/16 in

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we know that

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Find the difference

24/32-11/32==13/32 in

case C) 1/2 in

we know that

1/2 in=2/4 in ----> multiply by (2/2)

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case D) 3/8 in

we know that

3/4 in=6/8 in ----> multiply by (2/2)

Find the difference

6/8-3/8=3/8 in

<em>Compare the values of the difference and find the less value</em>

we have

case A) 1/16=2/32 in

case B) 13/32 in

case C) 1/4=8/32 in

case D) 3/8=12/32 in

The less value is case A) 2/32 in

therefore

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

4 0
3 years ago
The sixth grade has collected $116 for a local animal shelter. Thief goal is to collect $500. They have three weeks left how muc
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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.  

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}

And now, 15 degrees is 11 times smaller than the other  

Then other angle = 11 times of 15 degrees

\text {Other angle }=11 \times 15=165 \text { degrees }

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

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3 years ago
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Answer:

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