Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta​

Let Tan Theta= 5/12, Where Sin Theta> 0.Find The Exact Value Of Sec Theta

Answers

Answer 1

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13


Related Questions

Ms.Sandy Bought A Package Of Pencils. Out Of Every 10 Pencils​, 8 Are Black. If There Are 30 Pencils In The​ Pack, What Fraction Of The Pencils In The Pack Are​ Black? What Percent Of The Pencils In The Pack Are​ Black? What Fraction of The Pencils In The pack Is​ Black?

Answers

Answer:

Step-by-step explanation:

Fraction: 24/30 or 4/5 Percentage: 80%

An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

Answers

Hi

Let's call X  the amount in the beginning.  

we  have X*1.03^6 = 1819.77

                X =  1819.77 /  1.03^6

                X ≈ 1524.03

Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.

3 + 6 = 3 – 4

A
unique solution

B
no solution

C
infinite solutions

Answers

Answer:

No solution

Step-by-step explanation:

3+6=9

3-4=-1

9 doesn't equal -1 therefore no solution.

List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows

Answers

Answer:

{1,2,4,8,16,32,64}

Step-by-step explanation:

1×64=64

2×32=64

4×16=64

Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?

Answers

Answer:

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 76503, standard deviation of 8850.

This means that [tex]\mu = 76503, \sigma = 8850[/tex]

a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?

This is 1 subtracted by the pvalue of Z when X = 100000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{100000 - 76503}{8850}[/tex]

[tex]Z = 2.66[/tex]

[tex]Z = 2.66[/tex] has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

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Lesson 5.16 - Problem Solving with Mixed Numbers (D)
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Problem Solving with Mixed Numbers
Jada made 3 1/6gallons of lemonade. Jada served 5/6
gallon to her friends.
How much lemonade does Jada have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.


Answers

Answer:

Try Reasearching it! I hope you have a fantastic day/night ;-;

Step-by-step explanation:

thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)​

Answers

Answer:

A.

x + 2 + 12

Step-by-step explanation:

Thomas (t) = Andrew (x) * 2 + 12

I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY

Answers

Q5 is 115. Hope this helps! :) ✨

I can't see the numbers on Q6 sorry :((

Please help Due in 3 Min!

Answers

^ wrong it’s 16 trust me

rachel has 4 notebooks.Her mother gives her n notebooks.she wants to use the same number of notebooks in each of her 7 classes. which expression shows the number of notebooks rachel will use for each class?
A.n+4/7
B.4÷7/n
C.4n+7
D.4+n+7​

Answers

Answer:

i think its b

Step-by-step explanation:

which one is bigger ₃₄₅ 1

Answers

Answer:

1 is bigger

Step-by-step explanation:

Given = x= [b a 4 a ] Y =[c d a b] and z = [a c 16 b] What is Y if x-2y=Z?​

Answers

Answer:

a  [2, -4, -6, -2]

Step-by-step explanation:

The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

What is matrix?

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Here, we have,

Calculating the matrix Y

From the question, we have the following parameters that can be used in our computation:

Given that

X - 2Y = Z

So, we have

b - 2c = a

a - 2d = c

4 - 2a = 16

a - 2b = b

So, we have

4 - 2a = 16

-2a = 12

a = -6

Next, we have

a - 2b = b

-6 - 2b = b

3b = -6

b = -2

Next, we have

b - 2c = a

-2 - 2c = -6

-2c = -4

c = 2

Lastly. we have

a - 2d = c

-6 - 2d = 2

-2d = 8

d = -4

The matrix Y is given as: Y =[c d a b]

So, we have

Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

Read more about matrix at

brainly.com/question/11989522

#SPJ2

Find the missing lengths!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] =  13

Finish the problem yourself :) What is the length of the c? 225 = c^2

Answers

Answer:

c= 15

Step-by-step explanation:

c^2 = 225

(square root both sides)

c= square root of 225

c= 15

In your own words, state what you know about piecewise-defined function. Use complete sentences.

Answers

Answer:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Given that A'B'C' is the image of ABC under a reflection, enter that equation of the line of reflection.

Answers

Answer:

sooooo

Step-by-step explanation:

1/2 to the power of 3

Answers

0.125 or 1/8
hopes it helps you


An appliance repair company charges $22 per hour to do repairs. In addition, the company charges a $35 flat-rate
fee per repair visit. Which equation represents the total cost, C, of a single repair visit that takes h hours?
A c (22 35)
B. C3522
C. C2335

Answers

The answer is C to your question

What are the graphs vertex ?

Answers

There are two of theme dudgeon

Ron wants to save $5,000 in 5 years. Can he do this by having $100 deposited into a payroll savings plan each month? Explain. use a calculator if you like.

Answers

Answer:

Yes.

Step-by-step explanation:

Yes because 100 times the 12 months in a year equals $1,200 and $1,200 times 5 is $6,000 and $6,000 is greater than $5,000, so yes.

Evaluate 2x – 5y for x = 3 and y = –9.

Answers

Answer:

-2 or 2 i cant find the hole thing

Step-by-step explanation:

HELPP ME IM FAILING IN MATH

Answers

Answer:

-2, 4

Step-by-step explanation:

a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true

Answer:

Plot (-3,5)

I hope this is right ; -;

John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?

Answers

Answer:

3/4 of a cookie

Step-by-step explanation:

Please help me

X*1+ x/1

Pick one of these
x
1
2x
1+x

Answers

Answer:

2x

Step-by-step explanation:

x*1 is x

x/1 is also x

x+x=2x

How do you simplify (3a^2b) /(5ac) x (10c) /(6ab) given that A, B, C does not equal to 0?

Answers

Answer:

1

Step-by-step explanation:

(3a²b) /(5ac) x (10c) /(6ab) = (3ab)/(5c) × (5c)/(3ab)1

Answer:

solution given:

(3a^2b) /(5ac) x (10c) /(6ab)

[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]

1 is your answer

Which rectangular equation represents the parametric equations x = 3t Superscript one-half and y = 6t?

y = 2x2, for x ≥ 0
y = Two-thirdsx2, for x ≥ 0
y = 54x2, for x ≥ 0
y = StartFraction 1 Over 54 EndFractionx2, for x ≥ 0

Answers

Answer:

B

Step-by-step explanation:

I got it right

Answer:

Its b

Step-by-step explanation:

what is the distance between -8 and 535 on a number line

Answers

Answer:

527

Step-by-step explanation:

because i did it in the calculator

Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Answers

Answer:

Step-by-step explanation:

hello :

here is an solution

free 20 points. just answer this question please XD.
what is m<5 if m<2 is 45 degrees and m<3 is 60 degrees?

Answers

Answer:

Ty for the points.

m<5 is 90 degrees.

Answer:

90

Step-by-step explanation:

an object is launched at 4 ft./s from 88 foot tall platform the objects height H in feet after T seconds is given by the equation H=-16T^2+8t+80 when does the object strike the ground

Answers

Answer:

1.5seconds

Step-by-step explanation:

When the ball hits the ground, the height is equal to zero. So find t when H=0:

H=16t²+8t+80

0=16t²+8t+80

0=2t²+t+10

0=(2t-3)(t+2)

So (2t-3)=0, or (t+2)=0

So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds

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