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PIT_PIT [208]
3 years ago
7

Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.

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does BD bisect angle EBC?

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On a piece of paper, draw a box plot to represent the data below. Then
777dan777 [17]
Since they are already in order you know the 22 and the 61 are the upper and lower extremes. To find the median you find the number that is in the middle which is 42. To find the lower quartile find the middle number starting from the first number and the number to the left of the median (22 and 36 in this case). The loser quartile is 25. To find the upper quartile, fine the middle number between the number to the right of the median and the last number (44 and 61 in this case.) the upper quartile is 57 you then just plot it and graph it

The work is attached

6 0
3 years ago
At the end of 8 years, Anna paid $400 interest for a loan. If the simple annual interest rate was 4%, how much did Anna borrow?
antiseptic1488 [7]

$1250

Use the formula i = prt

In this case, we don't know P or Principal amount

i = 400

r = .04 *found by diving 4/100*

n = 8

Set formula to solve for P like: P= i/r(n)

P=400/.04(8)

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6 0
4 years ago
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You use 4 gallons of water on 14 plants in your garden.At this rate, how much water will it take to water 35 plants?
Naddika [18.5K]

For this case we can make the following rule of three:

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x --------------------------> 35 plants

From here, we clear the value of x.

We have then:

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3 years ago
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Answer:

Option C is correct.

Step-by-step explanation:

We need to find the pattern as the exponent decreases.

the first value in the table is 125.

if we divide 125 by 5 i.e 125/5 we get 25

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if we divide 5 by 5 i.e 5/5 we get 1

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if we divide 1 by 5 i.e 1/5 we get 1/5

the next value in the table is 1/5

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the next value in the table is 1/25

So, the pattern is if we divide the previous value by 5 we get the next value in the table.

So, Option C is correct.

5 0
3 years ago
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