Given that the sine of a certain angle is 513, and that the angle lies in quadrant 1 of the coordinate plane, what is the tangent of the angle?

Answers

Answer 1

The question is an illustration of trigonometry ratio, and the tangent of the angle is 12/13

How to determine the tangent of the angle?

Let the angle be x.

The sine of the angle is given as:

sin(x) = 5/13

The sine of an angle is calculated using:

sin(x) = opposite/hypotenuse

By Pythagoras theorem, we have:

Hypotenuse^2 = Adjacent^2 +Opposite^2

This gives

13^2 = Adjacent^2 + 5^2

Rewrite as:

Adjacent^2 = 13^2 - 5^2

Evaluate

Adjacent^2 = 144

Take the square root of both sides

Adjacent = 12

The tangent is then calculated using

tan(x) = Adjacent/Hypotenuse

So, we have:

tan(x) = 12/13

Hence, the tangent of the angle is 12/13

Read more about trigonometry ratio at:

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Related Questions

Please help me!!!!!!!!

Answers

Answer:

A. 7 and 8

Step-by-step explanation:

Mode is the number that has occured the most often. 7 and 8 both occured the most

Answer:

OPTION C

Step-by-step explanation

MODE MEANS THE NUMBER THAT OCCURED THE MOST OUT OF  THE BUNCH

Need help ASAP! TYSM simplify 4√6/√30

Answers

Answer

4

5

5

Step-by-step explanation:

In the society library, there are 3,98,456 old books. The management decided to add 67,876 new books. How many books will be there in library?

Answers

Answer:

do addof. old books and new

Frances has $5 in her bank. She finds $0. 25 under her bed. Then she finds $0. 40 more in her pocket. How much money does Frances have in all?

Answers

Step-by-step explanation:

Add all the money

$5+ 0.25+ 0.40= $5.65

-12x - 7=53 ill give brainlies

Answers

Answer:

x=-5

Step-by-step explanation:

-12x-7=53

     +7=+7

-12x=60

divide both sides by negative 12

60/-12= -5

so x =-5

   

The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation with a single variable 'x' is given below.

- 12x - 7 = 53

Simplify the equation, then we have

- 12x - 7 = 53

- 12x = 60

x = 60 / (-12)

x = - 5

The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.

More about the solution of the equation link is given below.

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Show work, solve by using square root method

Answers

Answer:

4[tex]x^{2} - 2x^{2} = 16\\x^{2} - 4 = 16\\ ||||-4 ||-4||\\x^{2} =20\\\\\sqrt{x} ^{2} = \sqrt{16} \\x = 4[/tex]

Step-by-step explanation:

x

please help me.... asap (no links)

Answers

Answer:

3

Step-by-step explanation:

they give you all the possible outcomes, all they are asking for is how many of those outcomes have only one head in it

Answer:

3; HTT, THT, TTH

H means heads, T means tails, therefore there are 3 pairs with 1 letter H.

Willl mark as brainlyest. Please help!!!

Answers

The answer is -6. Hope this helps!

Answer:

-6

Step-by-step explanation:

Based on order of operations/ pemdas

help me with this..!!?

Answers

Answer:

y ≤ 1

Step-by-step explanation:

Range is the values of y that the graph can have

A rabbit jumps across the floor at an angle of 30° with an initial speed of 7 ft/s.
Determine how long the rabbit was in the air. Round to the nearest hundredth.

Answers

The time of flight of the rabbit whose motion is described rounded to the nearest hundredth is; 0.71s

How long did the rabbit stay in the air?

According to the task content;

It follows that the motion of the rabbit was a projectile motion.

Hence, the time of flight of the rabbit is;

T = 2(7) sin 30/9.8.

T = 0.71s

On this note, the time of flight for which the rabbit stayed in the air is; 0.71s.

Read more on time of flight;

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Which expression is equivalent to n2 26n 88 for all values of n? (n 8)(n 11) (n 4)(n 22) (n 4)(n 24) (n 8)(n 18)

Answers

The factor of the given polynomial n² + 26n + 88 is (n + 4) and (n + 22). Then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

n² + 26n + 88

Then the factor of the given polynomial will be

n² + 22n + 4n + 88

n(n + 22) 4(n + 22)

(n + 4)(n + 22)

More about the factorization link is given below.

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Find the surface area of the prism.

Answers

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

what do you know about math

Answers

Answer:

that it is formed by numbers and steps followed are BODMAS

the width of a rectangle is 3x+1. the length is three times the width. what is the simplified expression of the total perimeter of this rectangle?

Answers

Answer:

The total perimeter here is P =21x + 7

Step-by-step explanation:

Let W and L represent the width and length of the rectangle.  Then the perimeter is P = 2W + 2L.  Substituting 3x + 1 for W and 3(3x + 1) for L, we get

P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7

Dorado County, which has a population of about 6,720, is divided into 4 townships. About 1/4
of Dorado County's population lives in Emerson Township, which has an area of 344 square miles. What is the population density of Emerson Township?

If necessary, round your answer to the nearest whole number.

Franco Township is also in Dorado County. Franco Township's population is about 30% greater than Emerson Township's, and its area is 512 square miles. What is the population density of Franco County?

If necessary, round your answer to the nearest whole number.

Answers

Density of population = total population / area of the township

Emerson township:
Population of Emerson = 6720 * (1/4)
= 1680
Density of population = 1680 /344
= 5 per square miles

Franco township:
30% of 1680 = 0.3 * 1680 = 504
Population = 1680 + 504
= 2184
Density = 2184/512
= 4 per square mile

Simplify 2 little 3 x 2 little 4

Answers

when we multiply numbers with the same root we just add=2^3*2^4=2^7
The answer is choice A (2^7)

Because when you have 2 cubed multiplied by 2 to the power of 4, you have to add the exponents (3+4) and keep the base number the same (2)

What is the solution to the inequality x^2 + 2x ≤ 24?
A)
x < 4 or x > –6

B)
–6 ≤ x ≤ 4

C)
–6 < x < 4

D)
x ≤ –6 or x ≥ 4

Answers

Answer:

B. -6 ≤ x ≤ -4

Step-by-step explanation:

1. Rewrite the inequality in standard form:

x² + 2x - 24 ≤ 0

2. Factor x² + 2x - 24:

(x-4)(x+6) ≤ 0

3. Identify the intervals:

x - 4+4 = 0+4, x + 6-6 = 0-6

x = 4, x = -6

In conclusion:

-6 ≤ x ≤ -4

hope this helps!

find m ED
find m COB
find m AB
find m BOE

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

Angle ED = 90° - 15° ==> 75°

Angle COB = 180° - 15° ==> 165°

Angle AB ==> 15° ..( vertically opposite angles)

Angle BOE ==> 90° + 15° ==> 105°

Please answer for me.

Answers

Answer:

The following is equivalent to -1.

Step-by-step explanation:

[tex]\text{Use PEMDAS to solve this equation.}\\\frac{4^3/(-12+2^2)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 squared in the first parenthesis.}\\\frac{4^3/(-12+4)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate -12 + 4 in the first parenthesis.}\\\frac{4^3/-8}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 times 3 in the next parenthesis.}\\\frac{4^3/-8}{(6^2+(-5*2*3)+2}\\\text{Evaluate -5 times 2 in the next parenthesis.}\\\frac{4^3/-8}{6^2+(-10*3)+2}\\\text{Evaluate -10 times 3 in that parenthesis.}\\[/tex]

[tex]\frac{4^3/-8}{6^2-30+2}\\\text{Now that the parenthesis are finished, start evaluating exponents, start in the numerator.}\\\frac{64/-8}{6^2-30+2}\\\text{Evaluate the remaining exponent.}\\\frac{64/-8}{36-30+2}\\\text{Evaluate the division in the numerator.}\\\frac{-8}{36-30+2}\\\text{Finally, evaluate the numbers in the denominator.}\\\frac{-8}{6+2}\\\frac{-8}{8}\\\text{Divide -8 by 8 to get your final answer:}\\-1[/tex]

if a table shows the side length of a triangle and side 1 is 2(a+3) and side 2 is 3a-1 and the perimeter of the triangle is 6a-3. what is side 3

Answers

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

1: 4.331 L =_____ mL
2: 4.85 m =____mm
3: 256 cm =____m
4: 13.3 m =_____cm
5:0.32 kg =____g
6:18.5 cm =____km
7:140 cm =____km
8:0.5 kg =____g

Answers

Answer: 4331ml, 4850mm, 25.6m, 133cm, 320g, 0.000185km, 0.0014km, 500g

Step-by-step explanation: All listed above

please no links
Solve -7 + 21 > -14.
A. x<5
B. x< -1
C. x<5
D. x< -1

Answers

Hey there!


-7x + 21 > -14


SUBTRACT 21 to BOTH SIDES

-7x + 21 - 21 > -14 - 21


SIMPLIFY IT!

NEW EQUATION: -7x > -35


DIVIDE -7 to BOTH SIDES

-7x/-7 > -35/-7


SIMPLIFY IT!


x < 5


Therefore, your answer is: x < 5



Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Answer:

X<5

Step-by-step explanation:

Isolate the term of x from one side of the equation.

-7x+21>-14

First, subtract by 21 from both sides.

-7x+21-21>-14-21

Solve.

Add or subtract the numbers from left to right.

-14-21=-35

Rewrite the problem down.

-7x>-35

Then, multiply by -1 from both sides.

[tex]\sf{\left(-7x\right)\left(-1\right) < \left(-35\right)\left(-1\right)}[/tex]

Solve.

7x<35

Divide by 7 from both sides.

7x/7<35/7

Solve.

Divide the numbers from left to right.

35/7=5

x<5

Therefore, the correct answer is x<5.

I hope this helps! Let me know if you have any questions.

can any one help me with this question I don't really get it please help​

Answers

Answer:

104.5 is what I got, tell me if that's wrong.

Answer:

104 1/2

Step-by-step explanation:

The answer is 104 1/2 since the formula for volume is LWH. You have to do 6 1/3*3*5 1/2.

6 1/3=19/3

5 1/2=11/2

19/3*3/1=57/3.

57/3*11/2=627/6.

627/6=104.5 or 104 1/2.

125% of what number is 476?

Answers

Answer:

The answer is 380.8

Step-by-step explanation:

476 is 125% of 380.8

Answer: 380.8

Step-by-step explanation: 125 % of 380.8 is 476 . This means 380.8 is the total because in percentage what comes after the word of is the total . PLEASE GIVE BRAINLIEST .THANKS HOPE IT HELPS .



Help Help please :3

Answers

360

Step-by-step explanation:

im not too sure tho

Question 5 of 10
Solve the rational equation:
4x/x+5 = x/x+4

Answers

Answer:

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Step-by-step explanation:

I assume the denominators are x + 5 and x + 4 although that is not what you wrote.

[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(4x) = (x + 5)(x) [/tex]

[tex] 4x^2 + 16x = x^2 + 5x [/tex]

[tex] 3x^2 + 11x = 0 [/tex]

[tex] x(3x + 11) = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x + 11 = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x = -11 [/tex]

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

A figure was rotated around a vertical line segment resulting in the object below.
Which of the following figures was rotated?

Answers

Answer:

Rectangle (Brainliest please)

Step-by-step explanation:

HEELLPP WILL GIVE BRAINLEST TO WHOEVER ANSWERS.

Answers

Answer:

B

Step-by-step explanation: The 2nd number in the equation represents the y axis so if its moving 7 units down its -7 on the y axis which makes it 9x-7

Answer: C

Step-by-step explanation:

The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are _____. a. a and b b. B0 and B1 c. y and x d. a and B

Answers

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

What is a population model?

A population model can be represented by the equation:

[tex]\mu_y=\beta_1x + \beta_o[/tex]

Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

Find out more on population parameters at: https://brainly.com/question/2292917

Which of the following functions is graphed below?

Answers

Answer:

Answer A

Step-by-step explanation:

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