Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. Show work.

Answers

Answer 1

Step-by-step explanation:

the given data is

tanθ = 2.773 and 0<θ<π/2

this implies θ = tan inverse(2.773)

⇒ θ =  70.16°

Therefore, sinθ = sin70.16° = 0.9406

similarly,cosθ =  cos70.16° = 0.3393

therefore, values of sinθ and cosθ are  0.9406 and 0.3393 respectively.


Related Questions

If one candy bar weighs 3 ounces, what is the weight of 11 candy bare

Answers

Answer: 3 times 11 would be 33 ounces.

Step-by-step explanation:

33 is the answer.

The answer would be 33

f(x) = 3x - 4

x is -2

Answers

plug in -2 in x. Which will give you x=2/3

Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer. ​

Answers

The equation has infinite solutions, because each side is equal to 3x + 2. Therefore, whatever variable the x replaces will give the same answer every time.

Which of the following conditions are sufficient to show that the two polygons are congruent?


A. Slopesc = Slopen and slopezo = slopeo


B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.



C. None. The polygons cannot be congruent because they have different orientations.


D. The rise and run of the translation between each pair of corresponding points are the same.​

Answers

Answer:

(B) Two number is the answer of your question.

arrange in order ^6√5,^3√3 and √2
plz help​

Answers

⁶√5 < √2 < ³√3

Step-by-step explanation:

Given: ⁶√5, ³√3, √2

[tex] = {5}^{ \frac{1}{6} } , \: {3}^{ \frac{1}{3} } , \: {2}^{ \frac{1}{2} } \\ = {({5}^{ \frac{1}{6} })}^{6} , \: {({3}^{ \frac{1}{3} })}^{6} , \: {({2}^{ \frac{1}{2} })}^{6} \\ = 5, \: {3}^{2} , \: {2}^{3} \\ = 5, \: 9, \: 8 \\ \\ 5 < 8 < 9 \\ = {5}^{ \frac{1}{6} } < \: {2}^{ \frac{1}{2} } \: < {3}^{ \frac{1}{3} } \\ [/tex]

Solve the equation to find the value of m and n.
2m + 3n = -5
5m + 3n = 1

Answers

Answer:

m = 2, n = - 3

Step-by-step explanation:

Given the 2 equations

2m + 3n = - 5 → (1)

5m + 3n = 1 → (2)

Subtract (2) from (1) term by term to eliminate n

2m - 5m = - 5 - 1

- 3m = - 6 ( divide both sides by - 3 )

m = 2

Substitute m = 2 into either of the 2 equations and solve for n

Substituting into (1)

2(2) + 3n = - 5

4 + 3n = - 5 ( subtract 4 from both sides )

3n = - 9 ( divide both sides by 3 )

n = - 3

Step-by-step explanation:

2m + 3n = -5

5m + 3n = 1

(Multiply each equation by a suitable number so that the two equations have the same leading coefficient)

6m + 9n = -15

15m + 9n = 3

(Subtract the second equation from the first)

15m- 6m = -15-3

-9m= -18

-9m/-9= -18/-9

m= 2

(Solve this new equation for m)

5(2) +3n = 1

10+3n=1

3n=1-10

3n=-9

3n/3 = -9/3

n= -3

(Substitute m = 2 into either Equation 1 or Equation 2 above and solve for n )

A 9 year old boy has $12 saved.
He decides to start saving on a regular basis because he selss aluminum
cans
He figures out that he can save $2.50 per day.
What is the total amount he will have saved after 1 day?
2 days?
3 days?
17days?
X days?
Organize the information however you think is best and find out the totals.
Do...
g
in

Answers

Answer:

.............................

The graph of f(x) = x^2+ 3 is translated to produce the graph
of g(x) = (x + 2)^2+ 3. In which direction was the graph of f
translated?
left
right
up
down

Answers

Answer:

the graph of f(x) is translated 2 units to the LEFT

Step-by-step explanation:

The original function, f(x) = x^2 + 3, has its vertex at (0, 3).  If we translate the graph h units to the right, this function becomes g(x) = (x - h)^2 + 3.  The x-coordinate of the vertex appears h units to the right of the original vertex.

In this case g(x) = (x + 2)^2 + 3, which tells us that h = -2.  The effect of inserting the "-2" is that the graph of f(x) is translated 2 units to the LEFT.

If, on the other hand, we went from f(x) = x^2 + 3 to g(x) = (x - 2)^2 + 3, the original graph would be translated 2 units to the right.

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

Answer:

Step-by-step explanation:

Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.

20% tip on a bill of $945.41

Answers

Answer: 189.082

189.082 is 20% of 945.41

Step-by-step explanation:

What is 20% of 945.41?

Y is 20% of 945.41

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 20% * 945.41

Converting percent to decimal:

p = 20%/100 = 0.2

Y = 0.2 * 945.41

Y = 189.082

Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?

Answers

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer:

[tex]\frac{1}{4}[/tex] of the lasagna

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]

Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?

Answers

Answer:

Number of kilometer he run in 3 week = 147 kilometer

Step-by-step explanation:

Given:

Cleiton's daily run = 7 km

Find:

Number of kilometer he run in 3 week

Computation:

Number of days in a week = 7

Number of days in 3 week = 7 x 3

Number of days in a week = 21 days

Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week

Number of kilometer he run in 3 week = 7 × 21

Number of kilometer he run in 3 week = 147 kilometer

a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?​

Answers

Answer:

30/100×150=

24/5%, that is the answer


(15% * x) + x = $150
x = about $130.44
$130.4347… * 2 = $260.80

Un deposito de agua tiene forma de un cubo de 10 metros de arista ¿cual es la capacidad del deposito?

Answers

Respuesta:

1000m³

Explicación paso a paso:

La capacidad del tanque viene dada por el volumen del cubo;

El volumen, V del cubo se da como: a³

V = a³

El borde del cubo mide 10 metros.

Por eso,

Volumen = 10³

Volumen = 10 * 10 * 10

Volumen = 1000 m³

Por lo tanto, la capacidad del tanque de agua es de 1000 m³.

The area of a trapezoid is represented by the expression 12x2 + 7x – 10. The other dimensions are shown in the diagram below. Determine an expression for the height of the trapezoid.

Answers

Answer:

(24x^2 + 14x – 20) /(3x+5) =  h

Step-by-step explanation:

The area of a trapezoid is given by

A =1/2 (b1+b2) h

12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h

Multiply each side by 2

24x^2 + 14x – 20 =  ( x+3+ 3x+2)h

Combine like terms

24x^2 + 14x – 20 =  ( 4x+5)h

Divide each side by (4x+5)

(24x^2 + 14x – 20) /(4x+5) =  ( 4x+5)h/(4x+5)

(24x^2 + 14x – 20) /(4x+5) =  h

Find the solution of y = 6x + 1 for x = 5

Answers

Answer:

y = 31 when x = 5

Step-by-step explanation:

We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.

Substituting 5 for x in y = 6x + 1, we get

                                     y = 6(5) + 1  = 31

y = 31 when x = 5

Problem:

Find the solution of y = 6x + 1 when x = 5.

[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]

[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]

Hence, the final answer is:

[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]

_______

#LetsStudy


Find the equation of the line that passes through points A and B.

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

Step 1 :  Find slope:

          [tex]slope , m = \frac{y_B - y_A}{x_B - x_A}[/tex]

                       [tex]=\frac{-1 - 7}{-3-1} \\\\= \frac{-8}{-4}\\\\ = 2[/tex]

Step 2 : Find the equation of the line :

[tex](y - y_A) = m(x - x_A) \ or \ (y - y_B) = m(x - x_B)\\\\we \ will \ consider \ points \ of \ A :\\\\[/tex]

                                          [tex](y - 7) = 2(x -1)\\\\y - 7 = 2x - 2\\\\y = 2x - 2 + 7\\\\y = 2x + 5[/tex]

Which statement is true?

Answers

D (2 and 4), vertical angles oppose eachother, and are always congruent (identical).

Answer:

I believe it is the 3rd one down

Step-by-step explanation:

Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees

PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.

Answers

Sorry for the wrong answer

Answer:

0.46 Newtons

Step-by-step explanation:

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

f = k/d²

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

to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.

0.35 = k/8²

0.35 = k/64

multiply both sides by 64

22.4 = k

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

Work out F (rounded to 2 DP) when d=7 metres.

f = 22.4/7²

f = 22.4/49

f = 0.46

Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que excede en 27 unidades al anterior¿De q número se trata ?

Answers

Answer:

El número es el 47

Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11

47        4  +  7  =  11

38         3  +  8 =  11

29         2   + 9  = 11

Si se cambia el orden de los dígitos:

47       se convierte en    74        74 - 47  =  27

38                  "    "             83        83 - 38 =  45

29                  "    "             92        92 - 29 = 63

Entonces el número solicitado es el 47

1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?​

Answers

Please mark Brainliest

Answer:
1 Hour

Explanation:


•A horse ride costs P120.00 per person for the
first 30 minutes.
•P50.00 for every additional 10 minutes.
I Spend P270.00, I Subtracted P120.00 For the
first 30 minutes.
270 - 120 = 150
150/50 = 3
If I Spend P50.00 for every additional 10 minutes
Then:
3 * 10 = 30
P120.00 For the first 30 minutes.
30 minutes + 30 minutes = 60 min = 1 Hour

Which refers to a method that relies on sound waves and is used by different animal species for navigation, communication, and finding food? echolocation analog signaling infrared detection digital location

Answers

Answer:

I believe echolocation

Answer:

echolocation

Step-by-step explanation:

Please help? I really need it

Answers

Answer:

216 in²

Step-by-step explanation:

a = bh

a = 18 * 12

a = 216

216 in2 this is because you are finding the area meaning you multiple your two sides

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism.

Answers

Answer:

I don't see the triangular prism.

Step-by-step explanation:

here is the problem if you want to help them

Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?

Answers

Answer:

creo que es 96%

Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.

What are the names of the segments in the figure

Answers

Answer:

C. The three segments are segments AB, CA, and AC

María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm

Answers

Answer:

The length of each piece is 13 m.

Step-by-step explanation:

Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?  

a) Each piece measures 312m

c) Each piece measures 13m

d) each piece mites 92m

b) Each piece measures 9m and 75cm

Total length, L =  78 m

Number of pieces, n = 6

length of each piece,

d = L/n = 78/6 = 13 m

So, the correct option is (c).  

Anyone.....................​

Answers

Answer:

[tex] \frac{1}{p - q} [/tex]

Step-by-step explanation:

[tex] \frac{ {p}^{2} + 2pq + q}{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{ {p}^{2} +2 \times p \times q+ {q}^{2} }{p^2−pq^2+p^2q−q^3} [/tex][tex] \frac{(p + q {)}^{2} }{p^3−pq^2+p^2q−q^3} [/tex][tex] \frac{( p+ q {)}^{2} }{p(p^2−1q^2)+q(p^2−q^2)} [/tex][tex] \frac{ (p + q {)}^{2} }{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{(p+q {)}^{2} }{(p+q)(p−q)(p+q)} [/tex]

[tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)

[tex] \frac{1}{p - q} [/tex]Hope it is helpful...

The triangles are similar by
1-AA
2-ASA
3-SSS
4-SAS

Answers

Answer:

It will be the 1st one that is The triangles are similar by AA

The answer is AA

Hope it helped

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
• Points S, P, Q, and Rare midpoints of ABCE
• T, N, L, and Mare midpoints of PQRS
Write the equation of line ML. Show your work.

Answers

Answer:

ML = √[¼ (EC)²]

Step-by-step explanation:

ML² = ½(QR)²

QR² = ½(EC)²

so, ML² = ¼ (EC)²

=> ML = [¼ (EC)²]

The equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex]   .

Concept:We will find the length of SE and ER.Then we will find the length of SR by using the Pythagoras theorem in Δ ESR.Then, we will find the length of MR and RL and hence, again using the Pythagoras theorem in Δ MRL and find the length of ML.How to solve the given question?Since, S is the midpoint of AE.
           [tex]SE = \frac{AE}{2}[/tex]
Similarly, [tex]RE = \frac{CE}{2}[/tex]In Δ SER, ∠E = 90°,
∴ By Pythagoras theorem, SR² = SE² + ER²
∴ [tex]SR^2 = (\frac{AE}{2})^2 + ( \frac{RE}{2})^2 = \frac{AE^2 + CE^2}{4}[/tex]   ...... (1)
∴ Similarly, [tex]RQ^2 = \frac{BC^2 + CE^2}{4}[/tex]          ............ (2)
Since, M & L are the midpoints of SR and RQ.
           [tex]MR = \frac{SR}{2}[/tex] &  [tex]RL = \frac{RQ}{2}[/tex]
In Δ LMR, ∠R = 90°,
∴ By Pythagoras theorem, ML² = RM² + RL²
∴ [tex]ML^2 = (\frac{SR}{2})^2 + ( \frac{RQ}{2})^2 = \frac{SR^2 + RQ^2}{4}[/tex]

Substituting value of SR and RQ from 1 and 2.
[tex]ML^2 =\frac{1}{4} [ \frac{AE^2 + CE^2}{4} + \frac{BC^2 + CE^2}{4} ][/tex]

As ABCE is parallelogram, BC = AE
∴ [tex]ML^2 =\frac{1}{4} [ \frac{2AE^2 + 2CE^2}{4} ] = [ \frac{AE^2 + CE^2}{8} ][/tex]
[tex]ML = \frac{AC}{2\sqrt{2} }[/tex]

Thus, the equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex]   .

Learn more about parallelogram here:
https://brainly.com/question/970600

#SPJ2

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names of agencies that are responsible for first aid in emergency situation Do the ordered pairs (2, 20), (5, 15), (12, 19), and (14, 13) represent a function? DUE TODAY!!! PLS HELP IF YOU KNOW!!! You can either go to a movie or go bowling. If you choose the movie, (3 points) Select one: a. you will spend far more on the movie then you would on bowling b. you will have made the choice that has the most benefit c. your opportunity cost is the amount of money you pay for the movie d. your opportunity cost is the time and experience of bowling Which legislation did Theodore Roosevelt sign as president regarding his philosophy of conservation?the regulation of the drug industry.the creation of new railroads.the creation of new national parks.the regulation of the food industry. EXERCISE 22.2A1 A heater uses 3 units of electricity in 40 minutes.How many units does it use in 2 hours?2 A machine prints 1500 newspapers in 45 minutes.How many does it print in 12 hours?3 A bricklayer lays 1200 bricks in an average 8-hour day.How many bricks does he lay in a 40-hour week?4 A combine harvester produces 9 tonnes of grain in 6 hours.How many tonnes does it produce in 54 hours?5 A machine puts tar on a road at the rate of 4 metres in 5 minutes.a) How long does it take to cover 1 km of road?b) How many metres of road does it cover in 8 hours?181 speech about cyberbullying should be suspended from school a map shows that the top of a hill is 200m above sea level and the bottom of a lagoon is 15m below sea level. express these distancesat a distances from sea level and what is difference between the two heights if m 7=99 degrees and m 1=32 degrees then what is m 4 + m 5 A university schedules summer school courses based on anticipated enrollment. The cost for faculty compensation, laboratories, student services, and allocated overhead for a computer class is $8500. If students pay $420 to enroll in the course, how large would enrollment have to be for the university to break even If a magnifying glass has a power of 10.0 D, what is the magnification it produces when held 6.55 cm from an object? can u pls answer 22, 23, 24 The cylinder has a radius of 5 feet and height of 20 feet. What is the volume of the cylinder in cubic feet? (x^2-5)(x+3)+(x+4)(x-x^2) A delivery service tells you it will deliver your package to a customer for a flat fee of $7.50,plus $0.28 per mile from your business to the customer's location. The customer is located53 miles from your business. What will it cost you to use the delivery service? factorise completely 15p^2 + 24pt PLSSSS HELP ASAP !!! PLSSS WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT Determine the period of this Function. Quistion in picture only for WXI Guys I need help with this