If 0≤θ≤90 and sin(θ) = p, then which of the following gives the value of tan(θ)?

1)p/1-p

2)(√ 1-p^2)/p

3)p/(√ 1-p^2)

4)√1-p^2

Answers

Answer 1

Answer:

p/√(1-p^2)

Step-by-step explanation:

Firstly we can write our sin (θ) = p/1

Mathematically, the sine of an angle refers to the ratio of the opposite to that of the hypotenuse. Hence we can say that p is the opposite while 1 is the hypotenuse of the right-angled triangle.

Now to get the third side of the right angled triangle, we use the pythagoras’ theorem. This states that the square of the hypotenuse equals the addition of the squares of the other two sides of the right angled triangle. Thus, mathematically:

1^2 = p^2 + adjacent^2

Adjacent^2 = 1 - p^2

Adjacent = √(1-p^2)

The tan of an angle refers to the ratio of the opposite to the adjacent.

Thus, our tan here will be p/√(1-p^2)

Tan θ = p/√(1-p^2)

Answer 2

Answer:

3)p/(√ 1-p^2)

Step-by-step explanation:

In trigonometry, the three fundamental or basic functions are represented by the notation SOH CAH TOA where

SOH

Sin θ = opposite/hypotenuse

Cos θ = Adjacent / hypotenuse

Tan θ = Opposite / Adjacent

And from Pythagoras theorem,

Opposite ² + Adjacent ² = Hypotenuse²

Hence if  Sin θ = p/1, the opposite side is p, the hypotenuse side is 1 then

the adjacent side from the equation above

Adjacent side² = 1 - p²

Adjacent side = √(1 - p²)

Tan θ = p/√(1 - p²)


Related Questions

Describe when you would need to solve a system of linear equations, instead of a single linear equation

Answers

Answer:

See explanation below

Step-by-step explanation:

A system of linear equations is a system that is formed when you have two or more variables, for example:

[tex]x=2y+z\\3y-4x=7y+2z\\2y+z=4x+3y[/tex]

In this case, we have 3 equations with 3 variables in total (x, y and z). Thus, we would need to solve a system of linear equations (they are linear because none of the variables have exponents).

On the other side, a single linear equation has only one variable that we need to find, for example:

[tex]3x=\frac{5}{3}[/tex]

In this case we would just have to solve for x

[tex]3x=\frac{5}{3} \\9x=5\\x=\frac{5}{9}[/tex]

Thus, we need to solve a system of linear equations when we have more than one variable (and more than one equations) as opposed to when we have just one variable and a single equation (single linear equation)

Which arc measures 180°
А.
8
AE
BD

Answers

the correct answer is A

d or DC

Hope this helps!! :)

What is the percent composition of sulfur in SO2?

Answers

Answer:

50.052%

Step-by-step explanation:

Answer:

              32.1 g

            -----------     x 100%

(32.1 g + 16.0 g + 16.0 g)  

Explanation:

A P E X :)

last question, please help.

Answers

Answer:

i thought it was just the area i dont know how to do literal area yet sorry

Step-by-step explanation:

Which histogram represents a set of data that is left-skewed? A graph shows the horizontal axis numbered 56 to 126. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 56 to 77 then a downward trend from 77 to 119. A graph shows the horizontal axis numbered 60 to 114. The vertical axis is numbered 1 to 4. The graph shows a downward trend from 60 to 72, an upward trend from 72 to 84, then a downward trend from 84 to 108. A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701. A graph shows the horizontal axis numbered 252 to 1,260. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 630, a downward trend from 630 to 756, an upward trend from 756 to 882, then a downward trend from 882 to 1,341.

Answers

Left skewed histograms are shown by the left tail , smaller values, being longer then the right tail, larger values.

The answer is: A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701

Answer:

A

Step-by-step explanation:

EDGE 2021

Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7)

Answers

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

:)

solve the following
2(X+3)=X-4​

Answers

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

Using the distributive law, work out
the solution for the following:
87 x 63 + 87 x 37

Answers

Answer:

the answer is 8700

Step-by-step explanation:

(87 x 63) + (87 x 37)= 8700

hope this helps :-)

Use a net to find the surface area of the prism 8 in 6 in 15 in

Answers

The area is 8*6*15=720 in^3

how to get the answer ?

Answers

Answer:

c

Step-by-step explanation:

it has to be a negative graph so a and d aren't right and the y intercept is 3 so c is right

Answer:

the answer is C

Step-by-step explanation:

1st step to write the slope intercept form then first u need to find the two points that ur going to use, then u get the slope

FIND THE SLOPE:

point 1: (2,0)

point 2: (0,3)

slope= y2-y1/x2-x1

s= 3-0/0-2

s= -3/2

2nd step is to find the y-intercept, to find that u take the slope intercept form which is y=mx+b

m=slope

b=y-intercept

and now substitute the variable for the known value

pick any of the two points, so u can substitute the variable X and Y

x=2

y=0

b=-3/2

0=2(-3/2)+b

solve to find B

distribute 2

2(-3/2)=-6/2 or -3

0=-3+b

and now add 3 to both sides

0+3=-3+3+b

b=3

now the slope intercept formula is y=-3/2x+3

to check the answer u can substitute the X and Y of one of the points and see if u get the solution as 0 or 3 (it depends on which point u chose)

How many ways can Gary, Cayla, and
Pinak finish a bicycling race in first, second,
and third place?

Answers

Answer:

6

Step-by-step explanation:

G,C,P

C,P,G

P,G,C

G,P,C

P,C,G

C,G,P

If f(x)=5x2−3x+8, find f(0)

Answers

Answer:

8

Step-by-step explanation:

f(x)=5x^2−3x+8

Let x=0

f(0) = 5(0) -3(0) +8

     = 8

Sam has 3 cards and he buys a more. Write an expression for the number of cards Sam has.

Answers

Answer:

T=(3)+A

Step-by-step explanation:

A is how many more

t is total

3 is how many cards he owns

hope this helped

Express -23 in the form bi where b is a real number TIME SENSITIVE

Answers

Answer:

A

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

The ratio of the number of left handers to the number of right handers in a middle school is 6:15. If there are 120 left handers, how many right handers are there? (WILL GIVE BRAINLIEST)

Answers

Answer:

300 right handers

Step-by-step explanation:

Answer:

The answer is 300 right handers.

Step-by-step explanation:

I looked up the question on google, and found the workbook that it came from. Towards the bottom of the book is the answers so I matched the question to the list of answers and found that it is 300 right handers.

A clock face a circumference of 166 cm. what is the diameter

Answers

Answer: Approximately 52.87 cm.

Step-by-step explanation:

Circumference is diameter times pie to divide the circumference  by pie.

166/3.14    use 3.14 as an approximation for pie.

166/3.14 = 52.87  rounded to the nearest hundredth

The answer should be 52.8662420382cm you can round however needed

diamete = circumferance divided by pi

what is -13/6 as a repeating decimal​

Answers

Answer:

-2.16 repeating

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. The probability of spinning an odd number, flipping heads, then spinning a yellow is .

Answers

The correct question is;

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. Find the probability of spinning an odd number, flipping heads, then spinning another odd number? Write your answer as a fraction in simplest form.

Answer:

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed

Step-by-step explanation:

The answer will depend on whether the spinner has an odd or even number of spaces.

Now, if we suppose that the spinner has an even amount of numbers on it, there will be an equal number of odd and even numbers.

Thus the probability of spinning an odd number is ½.

Also, the probability of flipping heads on a coin is ½.

Thus, the probability of spinning an odd number, flipping heads, then spinning another odd number is;

= ½ × ½ × ½ = ⅛

Similarly,

If the spinner has an odd amount of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 5 spaces on the spinner, the probability of spinning an odd number will be

3

However, if there are 9 spaces, the probability will be 5/9

So,we can conclude that;

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed.

The experimental probability that a blue car will pass in front of joe's house is 25%. If 24 cars pass joe's house on Tuesday, how many of the cars are expected to be blue?
A 4
B 8
C 5
D 6

Answers

Answer:

B Will be your answer

Answer:

idk

Step-by-step explanation:

idk

A ball is thrown into the air with an upward velocity of 13 ft/s. Its height h in feet after t seconds is given by the function h = −2t^2+ 13t + 24. In how many seconds does the ball reach its maximum height?

Answers

Answer:

3.25 seconds

Step-by-step explanation:

The maximum height will occur when the velocity of the ball reaches zero in the air.

Velocity is given as the derivative of height, dh/dt.

The equation of height given is:

[tex]h = -2t^2+ 13t + 24[/tex]

Differentiating height, h, with respect to time, t, we have:

[tex]v = dh/dt = -4t + 13[/tex]

When v = 0:

[tex]0 = -4t + 13\\\\=> 4t = 13\\\\t = 13 / 4 = 3.25 secs[/tex]

Therefore, it will take 3.25 seconds for the ball to reach maximum height.

fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each sides of the sheet.

Answers

Answer:

IF THE question is After Fathi prints, what will be the balance in his printing account?

then it is: $1.9

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

Answer:

The answer is $-1.90

Tell whether 12/8 and 3/6 form a proportion

Answers

Answer:

yes they do.... multiply 3/6 by 3 = 12/8

12/8 multiply by 1/3 = 3/6 or 1/2

Step-by-step explanation:

Don't you dare delete again eupora you are dum

my answer was correct you evil

vvvvvvv help me plzzzzzzzzzzzzzzz

Answers

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

. If they set up their camera 322 meters from the base of the mountain and the mountain is 597 meters high, what angle should he point his camera from the horizantal.

Answers

Answer:

the angle required for them to point their  camera to the horizontal should be at 61.66°

Step-by-step explanation:

Given that the base of the camera is 322 meters from the horizontal and the height is 597 meters.

We can use the tangent of the trigonometric equation.

tan θ = opposite / adjacent

tan θ = 597/322

tan θ = 1.854

θ = tan⁻¹ (1.854)

θ = 61.66°

Hence, the angle required for them to point their  camera to the horizontal should be at 61.66°

Answer:

Step-by-step explanation:

The position of the camera forms a right angle triangle. The horizontal distance from the base of the mountain represents the opposite side of the triangle while the height of the mountain represents the adjacent side of the triangle. To determine the angle, # that he should point his camera from the horizontal, we would apply the tangent trigonometric ratio which is expressed as

Tan # = opposite side/adjacent side

Tan# = 597/322 = 1.85

# = Tan^-1(1.85)

# = 61.61°

You buy two ads in a newspaper. One ad takes up 58 of a page, and the other ad takes up 18 of a page. How much space did you buy for ads?

Answers

The answer is 76... I just added the two numbers together

There are 76 space did you buy for ads.

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

One ad takes up 58 of a page, and the other ad takes up 18 of a page.

Now,

Since, One ad takes up 58 of a page, and the other ad takes up 18 of a page.

Hence, The total space did you buy for ads = 58 + 18

                                                                    = 76

Thus, The total space did you buy for ads is 76.

Learn more about the addition visit:

https://brainly.com/question/5454147

#SPJ2

On your birthday you receive an iPhone valued at $899. The value of the iPad decreases by 25% each year. What will its value be 4 years from now?

Answers

Answer:

284.765625

Step-by-step explanation:you get by subtracting 25% from 900 4 times

Answer: 56.18

Step-by-step explanation:    if you know about the line equals line method, that should be able to help.        

 224.75             25%

----------------=-----------------    

899                  100%

you then cross multiply 899 and 25 then divide it by 100.  

that will be the drop per 1 year so than divide 224.75 with 4 and then your answer should be 56.18

What is the probability of Red and yellow?

What is the probability of NOT BROWN?

What is the probability of Purple?

Answers

Answer:

3/8 for red and yellow

1 for not brown

0 for purple

Step-by-step explanation:

Answer:

probability of red and yellow: [tex]\frac{3}{8}[/tex]

probability of not brown: [tex]\frac{8}{8}[/tex]

probability of purple: [tex]\frac{0}{8}[/tex]

Step-by-step explanation:

The denominator will always be 8 because that is the total number of things that could be spun. The numerator will change based on the question.

Solve the system of equations and choose the correct ordered pair.
3x+2y= 12
6x + 3y = 21
A. (3,2)
B. (4.0)
C. (4,3)
D. 2, 3)

Answers

Answer:

(D)

Step-by-step explanation:

Solve by graphing:

Use a graphing tool to graph the lines 3x+2y= 12 and 6x + 3y = 21.

The line intercept at (2,3).

Therefore, option D is the correct answer.

Brainiest Appreciated.

How many 5 card hands are possible with four black cards and one red card?

Answers

Answer:

1 i believe

Step-by-step explanation:

which best describes the diameter of a circle

Answers

The diameter of a circle is like a circle that’s a line through

Answer: The distance across the middle of the circle

Step-by-step explanation:

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