How do I this math problem? If tan8 theta = cot 7 theta then theta =?

How Do I This Math Problem? If Tan8 Theta = Cot 7 Theta Then Theta =?

Answers

Answer 1

Given:

[tex]\tan 8\theta =\cot 7\theta[/tex]

To find:

The value of [tex]\theta[/tex].

Solution:

We have,

[tex]\tan 8\theta =\cot 7\theta[/tex]

We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].

Using the trigonometric property, we get

[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]

On comparing both sides, we get

[tex]8\theta =90^\circ -7\theta[/tex]

[tex]8\theta +7\theta=90^\circ [/tex]

[tex]15\theta=90^\circ [/tex]

Divide both sides by 15.

[tex]\theta=\dfrac{90^\circ}{15}[/tex]

[tex]\theta=6^\circ[/tex]

Therefore, the value of [tex]\theta[/tex] is 6 degrees.


Related Questions

Please help thank you! Sorry for spamming

Answers

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

Find the value of X and TQ

Answers

ok I don't know go to school or sum

Please Help !!
The picture of the question is attached. ​

Answers

Answer:

x = 90°

Step-by-step explanation:

Using the identity

cos²x = 1 - sin²x

Given

cos²x - sin x + 1 = 0

1 - sin²x - sin x + 1 = 0

- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )

sin²x + sin x - 2 = 0 ← in standard form

(sinx + 2)(sinx - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1

sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°

solution is x = 90°

Joan is buying airline tickets for her family. Each airline ticket costs $232 with a baggage fee of $13. The airline
charges a booking fee of $45 for the entire set of tickets. Joan spent a total of $1,515. If x represents the number of
tickets, which equation can be used to find the value of x?
O 245+45x = 1,515
O 232x+45x - 1,515
O 232x+45= 1,515
452455

Answers

Answer:

232x + 45 = 1,515

Step-by-step explanation:

45 is a one time fee for book several tickets at one. 232 is the cost of each ticket and 232 get x because we dont know how many family members Joan bought tickets for.

Enter an expresion equivalent to
(5x – 6y + 7) - (-x + 5y - 8)

Answers

(3x - 8y + 7)-(-x + 7y - 6)

ctividad 1:

Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8


Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda

Answers

Respuesta:

Media = 6

Mediana = 6

Modo = 6

Desviación media = 1

Desviación estándar = 1.317

Explicación paso a paso:

Dados los datos:

5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8

Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8

La media: Σx / n = 96/16 = 6

El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)

La mediana = 1/2 (n + 1) ésimo término

Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6

La desviación media = Σ (x - media) / n

Usando la calculadora, la desviación media = 1

La desviación estándar = √ (Σ (x - media) ² / n-1)

Desviación estándar = 1.317

Solve for x.

•none of these
•21.8
•68.2
•66.42
Please helppp

Answers

Answer:

21.8

Step-by-step explanation:

5m is adjacent and 3m is opposite so you use the formula

tan theta=opposite/adjacent

Plz, help ASAP!! NO FILES!

Answers

Answer:

y = x - 5

Explanation:

Where ever the line touches on the y-axis is the y-intercept. In this case it is -5.

the slope is 1 because the y and the x is going up by one

Expand. If necessary, combine like terms. (x+3)(x-3)=

Answers

Answer:

[tex] {x}^{2} - 9[/tex]

Step-by-step explanation:

[tex](x−3)(x+3)[/tex]

[tex]x(x+3)−3(x+3)[/tex]

[tex]x \times x+x \times 3−3x−3 \times 3[/tex]

[tex]x \times x−3 \times 3[/tex]

[tex] {x}^{2} - 9[/tex]

Hope it is helpful....

The measure of EC bisects

Answers

Answer:

The value of x = 20

Step-by-step explanation:

Given:

∠BOC = 3x - 15

∠COD = 2x + 5

Find:

The value of x

Computation:

⇔ ∠BOC + ∠COD = 90

⇔ 3x - 15 + 2x + 5 = 90

⇔ 5x - 10 = 900

⇔ 5x = 90 + 10

⇔ 5x = 100

⇔ x = 100 / 5

⇔ x = 20

The value of x = 20

Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*

Answers

Check out the screenshot.

Two angles are complementary. One angle is
fifteen more than twice the other angle.
What is the measure of each angle?

Answers

Step-by-step explanation:

Hey there!

Let "x°" be the first angle.

According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }

Also, we know that complementary angles sum is 90°.

Then;

x° + 2x° + 15° = 90°

3x ° = 90°-15°

3x = 75°

x = 75°/3

Therefore, the angles are 25° and 65°.

Hope it helps!

Help
Find the volume of this sphere.
Use 3 for pi

Answers

Answer:

V = 1372cm3

Step-by-step explanation:

See the image above

Please help me with this thanks

Answers

Answer:

I believe it is 60 degrees

Step-by-step explanation:

90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60

Find the geometric mean of each set of numbers (Write answers in simplest radical form):
a) 15 and 20
b) 18 and 30

Answers

Answer:

Step-by-step explanation:

a.

G.M. between between 15 and 20=√(15×20)

=√(300)

=√(100×3)

=10√3

b.

G.M. between 18 and 30

=√(18×30)

=√(3×3×2×2×3×5)

=3×2√15

=6√15

This table shows the number of goals scored in 25 Premier League football matches

Work out the
mean range and median

I need help with number 3 plz! And if u can can u also help me with 4 and 5!

Answers

The answer is attached above. I hope this helps!

Please someone help me

Answers

Answer:

A

Step-by-step explanation:

Because not drawing the circle graph of the burger could lead you to draw the wrong conclusion

Answer:

A

Step-by-step explanation:

If your not drawing the circle graph of the burger could lead you to draw the wrong conclusion

Please help this is due today!!

Answers

Answer:

F(x) plus or minus would shift up or down...

1/3 f(x) "shrinks everything down by 1/3

the first answer is the correct choice

Step-by-step explanation:

1 1/4 hour =
minutes. .​

Answers

Answer:

165 minutes

Step-by-step explanation:

We know,

1 hour = 60 minutes

Therefore,

[tex] \frac{11}{4} hour =( 60 \times \frac{11}{4} )minutes[/tex]

= 165 minutes (Ans)

If m>BFC = 8x+13 and m

Answers

Answer:

12x - 73

Step-by-step explanation:

DFE + CFD = 12x + 7

DFE + 90 = 12x + 7

DFE = 12x + 7 - 90

DFE = 12x - 83

therefore

DFE = AFB ( vertically opposite angles are equal)

AFB = 12x - 83

Find the value of two numbers if their sum is 170 and their difference is 144.

Answers

x + y = 144
x - y = 22
2x = 166
x = 83
83 + y = 144
y = 144 - 83
y = 61

Answer:

The two numbers are 157 and 13

Step-by-step explanation:

Let x and y be the two numbers

x+y = 170

x-y =144

Add the two equations together

x+y = 170

x-y =144

-------------------

2x= 314

Divide by 2

2x/2 = 314/2

x =157

Now find y

x+y = 170

157+y = 170

y = 170-157

y =13

Any answers for this question?

Answers

Answer:

1. - A; 2. - A.

Step-by-step explanation:

'1' = '1' = 8 / √2 = 4√2.

What is the volume of this. Pyramid

720 cm2
1080cm2
1440 cm2
2160 cm2

Answers

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(9)(15)[/tex]

                                             = 67.5 cm²

Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

Surveys, observational studies, and experiments are examples of

Answers

Answer: B data gathering

Step-by-step explanation:

all of those examples are examples of gathering data

Can I get help with these questions 17,18,20,22,23,27,30 &31
Only reply if you are seriously going to help me please
No spam I would really appreciate it

Answers

Answer:

17) just take the root of 100. the text says its square(d).

10m

And checking it gives 10m * 10m = 100m²

18) you need to learn some square numbers to ace this topic. it isn't that complicated, just multiply natural numbers with themselves

like

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

Now we can see that a) sqrt(55) lies between 7 and 8, and that its value is somewhere in between

7 < a < 8

(ignoring the negative solution to the root oc)

try b, c and d yourself. if you struggle, leave a comment.

I got a problem finding exercises 19 to 21, seriously....

22) well...

a * b = 18ft²

6ft * 3ft seems just right. pure guesswork here, seems to be to easy with these numbers.

but we can also write it as a system of two functions

a * b = 18ft²

a = 2b

and then solve it by substituting a in line one with 2b, since a is 2b this is allowed.

2b * b = 18

2 b² = 18

b² = 9

b = 3

(we ignore -3 as a solution bc negative length makes no sense)

plugging that b into line two of the system gives

a = 2 * 3

a = 6

27) rationale can we written as a ratio (a fration)

it almost sounds too simply

rationals are either the root of square numbers, bc they can be solved cleanly, or they got a repeating pattern after the point.

b and c apply to these rules, a and d not

30) lol, I just figured out where the missing exercises are hidden XD

31) just add up the three rectangles (easy part) with the two triangles top and bottom each triangle is just 12m * 16m / 2 (bc it's a triangle, not a rectangle). since you got two triangles you just multiply by two (it's like ignoring the decision. also, the two triangles together would indeed make just a n9ce rectangle).

if you really need the values, leave a comment, but that will not help you in any test.

you can also post your solutions and I'll check them.

32) area of the circle times two

plus area of a rectangle wrapped around the cylinder.

circle are is pi*r² -> pi * (28 in)²

(remember to double for two circles)

rectangle is the circumference of the circle (pi * 28in) times the height of the cylinder

like in 31), feel free two post your results or ask for values if you really struggle to grasp the pattern here.

hope you have a great day and that you understand some more of the topic. you can ace it :)

PLEASE HELPP
1/4, 1/2, 1, 2 converging or diverging

Answers

Answer:

diverging

Step-by-step explanation:

A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.

So, if for example, we have:

[tex]A_n > A_{n-1}[/tex]

We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.

In this case we have the series:

1/4, 1/2, 1, 2

So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.

[tex]\frac{1}{3}x^{2} +5x+\frac{4}{3}=2x-\frac{1}{3} x^{2}[/tex]

Answers

x1= -4, x2= -1/2 is the correct answer

Mike has 25 cards and Ali has 55. How many cards must Mike give Ali so that Ali will have 4 times as many cards as Mike?

Answers

Answer:

9 cards

Step-by-step explanation:

Mike will have to give Ali 9 cards

Mike 25 -9 = 16

Ali 55 + 9 = 64

you can see that Ali 4 times as many cards as mike

64 : 16

4 : 1

what is the measurement of SRT
A: 101 degrees
B: 79 degrees
C: 99 degrees
D: 69 degrees

Answers

Answer:

79°

Step-by-step explanation:

Remember, the sum of all the angles in a triangle is 180

So 180-RST-RTS=180-53-48=79

Anyone know this question ??

Answers

Answer:

no but i can create a code from this:

Step-by-step explanation:

java:

int steps = 4;

for (int i = 0; i < steps; i++) { }

this part is psuedocode:

print(i) blocks

there will be 36 squared.

each new step adds one more than the last step added.

f(1) = 1

f(2) = 3 = 1+2

f(3) = 6 = 1+2+3

f(4) = 10 = 1+2+3+4

the pattern is now clear hopefully

f(8) = 1+2+3+4+5+6+7+8 = 1+8 + 2+7 + 3+6 + 4+5 = 9+9+9+9 = 9*4 = 36

Other Questions
How far does a train travel in 12 hours at 115 miles per hour?1,509 mi1,265 mi1,380 mi The following hypothetical data represent a sample of the annual numbers of home fires started by candles for the past several years.5640, 5090, 6590, 6380, 7165, 8440, 9980The population has a standard deviation equal to 1210. Assuming that the data is from a distribution that is approximately normal, construct a 90 % confidence interval for the mean number of home fires started by candles each year What were some ways that geographic factors influenced the outcomes of the battles of Gettysburg and Vicksburg? What is the answer to this? What is 3.99408317124 rounded to the nearest tenth What is the surface area and volume of the sphere shown below?Your response should show all necessary calculations and diagrams. What "Super Union" had taken on railroad companies and factories to improve the conditions for workers?( 1 )Knights of Labor( 2 )International Workers of the World (IWW)( 3 )American Federation of Labor (AFL)( 4 )American Railway Union (ARU) ans this question plsssssssssssssssss b. He often invited me to visit him. (Underline adverb) c. There are plenty of tomatoes in the fridge. You....... buy any. (m needn't, may not, should not) d. Many students ..........want to take examination. (don'tdoesn't) e. Don't make noise the baby.......... (Sleep). (Correct form of verb f. He said, "I Have a computer?" (Reported Speech) g. He will repair her cycle. (Passive) h. He will not come it rains. (Conjunction) i. I talked to the girl ........ car had broken down in front of the sho (Relative Pronoun) j. My friend is good at. .... (play) volleyball. (Gerund) Do as instructed. Why did General Grant adopt the total war strategy?to bring the war to a speedy endto prove that he was worthy of the jobto seek revenge against General Leeto wage a defensive campaign define the 5 plot orders Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.9 ft2.5 ft9.4 ft7.5 ft At approximately 8265 feet, _______ is the second highest peak in Texas. a - el Capitanb - mt. livermorec - guadalupe peakd - big bend national park g Which of the following statements is true of clustering? A. It uses different suppliers and distribution channels for interdependent companies within an industry. B. It seldom uses specialized labor. C. It helps a firm gain an increase in efficiencies. D. It typically increases the costs of production and distribution. Please help! Geometry10 points! Developing countries1.A situation in which people work together to do something2.A decision by a corporation to turn over much of the responsibility for production to independent suppliers.3.The interconnected economies of the nations of the world; economic activity that crosses national borders4.Countries with little industrial and economic activity where people generally have low incomes Ok this really isnt a question but I need help, Im wondering if a Samsung galaxy 9 is a good phone Which of the following is equivalent to 2a^7 + 5a^7? qual alllllllllllllllllllllll Quadrilateral QRST is inscribed in the circle. Find the measurements of each of the angles in Quadrilateral QRST. Show your work. (x-6) (x+12) (x-4)