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Dovator [93]
3 years ago
15

Find the common difference for the given sequence.

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0
The answer is you add 0.05 every time
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If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?
dem82 [27]

Answer:

Value of \sec \theta = \frac{5}{4}

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of \sec \theta.

By definition of secants;

\sec \theta = \frac{1}{\cos \theta}

Now, first find the cosine of angle \theta

As the point (12 , -9) lies in the IV quadrant , where \cos \theta > 0

Consider a right angle triangle;

here, Adjacent side = 12 units and Opposite side = -9 units

Using Pythagoras theorem;

(Hypotenuse side)^2= (12)^2 + (-9)^2 = 144 + 81 = 225

or

Hypotenuse = \sqrt{225} =15 units

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

\cos \theta = \frac{Adjacent side}{Hypotenuse side}

then;

\cos \theta = \frac{12}{15} = \frac{4}{5}

and

\sec \theta = \frac{1}{\cos \theta}= \frac{1}{\frac{4}{5}} = \frac{5}{4}

therefore, the value of \sec \theta is, \frac{5}{4}

5 0
3 years ago
Read 2 more answers
May I have some help?
chubhunter [2.5K]
For whatcha problem hun
8 0
3 years ago
Solve for b r = 9(b-a)​
zvonat [6]

r=9b_9a =r+9a/9=9b/9=b=r+9a/9

7 0
2 years ago
PLEASE HELP
Pavel [41]

Answer:

15.06

Step-by-step explanation:

I don't have a step-by-step explanation, but i hope this helps!!!

7 0
3 years ago
Which of the following is the correct graph of the linear equation below?<br> 4+2<br> 2-3x+1
e-lub [12.9K]

Answer:

okay lets start with 3 times 1, 3 times 1 is 3-2=1+6=7 your answer is 7

Step-by-step explanation:

3 0
2 years ago
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