Hello, please I need the right answer for this:

Step-by-step explanation:

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. The correct option is C, -7/25.

What are Trigonometric Identities?

Trigonometric Identities are equalities that utilize trigonometry functions and hold true for all variables in the equation. There are several trigonometric identities relating to the side length and angle of a triangle.

Given that the value of tan(x) = -4/3 and x is in quadrant 2.

In order to find the value of cos(2x), we can use the trigonometric identity of cos(2x), therefore, for cos(2x) we can write,

\cos(2x) = \dfrac{1-\tan^2(x)}{1+\tan^2(x)}cos(2x)=

1+tan

2

(x)

1−tan

2

(x)

Since the value of tan(x) is known, substitute the value in the identity,

\begin{gathered}\cos(2x) = \dfrac{1-(-\frac{4}{3})^2}{1+(-\frac{4}{3})^2}\\\\\cos(2x) = \dfrac{1-(\frac{16}{9})}{1+(\frac{16}{9})}\\\\\end{gathered}

cos(2x)=

1+(−

3

4

)

2

1−(−

3

4

)

2

cos(2x)=

1+(

9

16

)

1−(

9

16

)

cos(2x) = (-7/9) × (9/25)

Cancelling 9 from the numerator and the denominator,

cos(2x) = -7/25

Hence, if tanx=-4/3 and x are in quadrant 2 then cos2x=-7/25.

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    There are 14 girls and 19 boys in the chess club.

    Let x be girls and y be boys in the chess club. First, we need to write the system.

    We know there are 33 students in total.

x + y = 33

    We also know there are five more boys than girls in the club.

x + 5 = y

x + y = 33

x + 5 = y

    First, we will solve for y with substitution:

x + y = 33

x + (x + 5) = 33

2x = 28

x = 14

    Now, we will plug in this x-value:

x + y = 33

(14) + y = 33

y = 19

           There are 14 girls and 19 boys in the chess club.

Answer:

f(4) = 8

Step-by-step explanation:

Hello!

You can find f(4) by substituting 4 for x in 3x - 4.

The value of f(4) is 8.

Answer:

Step-by-step explanation:

h(x)=-2x-3 h(6)

Answer:

16

Explanation:

It states the answer in the question. Unless you meant something else?

Hope this helps!

Have a good day :)

Answer: He shared 16.

Step-by-step explanation:

The missing digits are 0, 4, and 5 in descending order

The complete division operation is

    8 2 0 R 5

6 |4, 9 2 5

 - 4  8

       1 2

  -    1 2

          0  5

From the question, we are to determine the missing digits in the division operation

From the diagram,

The first two digits of the divided were divided by the divisor, this resulted into a quotient of 8 and a remainder of 1.

The divisor is 6

Let the value of the first two digits be x

Thus,

x / 6 = 8 1/6

x/6 = 49 / 6

By comparison,

The first two digits is 49

Therefore,

The dividend of the division operation is 4,925

Now, we can complete the division operation

      8 2 0 R 5

6 |4, 9 2 5

 - 4  8

       1 2

  -    1 2

          0  5

Hence, the missing numbers are 0, 4, and 5

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The length of metal flashing needed to be purchase is [tex]1\frac{5}{8}[/tex] feet's.

He needs 6 ½ feet of metal flashing to complete a household project.

He has two small pieces measuring 3 1/8 feet and 1 3 / 4 feet.

Therefore, the length of metals for him to purchase can be calculated as follows;

The length he has = 3 1 / 8 + 1 3 / 4

The length he has = 25  /8 + 7 / 4

The length he has =  25 + 14/ 8

The length he has = 39 / 8 feet

Therefore

length required to purchase =  [tex]6\frac{1}{2} - \frac{39}{8}[/tex]

length required to purchase = [tex]\frac{13}{2}-\frac{39}{8}[/tex]

length required to purchase =  [tex]\frac{52-39}{8}[/tex]

length required to purchase = [tex]\frac{13}{8}[/tex] feet

Therefore,

length of metal flashing required to be purchase = [tex]\frac{13}{8}[/tex] feet = [tex]1\frac{5}{8}[/tex] feet

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The most appropriate choice for trigonometric function will be given by -

sin 45° =  [tex]\frac{1}{\sqrt{2} }[/tex]

cos 45° =  [tex]\frac{1}{\sqrt{2} }[/tex]

tan 45° =  1

cot 45° =  1

sec 45° =  [tex]\sqrt{2}[/tex]

cosec 45° =  [tex]\sqrt{2}[/tex]

What are trigonometric functions?

Trigonometric functions are those functions which shows the relationship between side and angle of a right angled triangle.

There are six trigonometric functions-

[tex]sin \theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]

[tex]sin \theta[/tex] = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]cos\theta[/tex] = [tex]\frac{Base}{Hypotenuse}[/tex]

[tex]tan\theta[/tex] = [tex]\frac{Perpendicular}{Base}[/tex]

[tex]cot\theta[/tex] = [tex]\frac{Base}{Perpendicular}[/tex]

[tex]sec\theta[/tex] = [tex]\frac{Hypotenuse}{Base}[/tex]

[tex]cosec\theta[/tex] = [tex]\frac{Hypotenuse}{Perpendicular}[/tex]

Here,

The diagram of the square has been attached with this answer

∠ABC = 90° [Side of a square is 90°}

∠BAC = [tex]\frac{90}{2}[/tex]

          = [tex]45[/tex]°

Side of square = 1 unit

Length of diagonal of a square = [tex]\sqrt{2}[/tex] [tex]\times[/tex] side

                                                    = [tex]\sqrt{2}[/tex] [tex]\times[/tex] [tex]1[/tex]

                                                    = [tex]\sqrt{2}[/tex] units

From [tex]\Delta[/tex] ABC,

sin 45° = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

           = [tex]\frac{BC}{AC}[/tex]

           = [tex]\frac{1}{\sqrt{2} }[/tex]

cos 45° = [tex]\frac{Base}{Hypotenuse}[/tex]

           = [tex]\frac{AB}{AC}[/tex]

           = [tex]\frac{1}{\sqrt{2} }[/tex]

tan 45° = [tex]\frac{Perpendicular}{Base}[/tex]

           = [tex]\frac{BC}{AB}[/tex]

           = [tex]\frac{1}{1}[/tex]

           = 1

cot 45° = [tex]\frac{Base}{Perpendicular}[/tex]

           = [tex]\frac{AB}{BC}[/tex]

           = [tex]\frac{1}{1}[/tex]

           = 1

sec 45° = [tex]\frac{Hypotenuse}{Base}[/tex]

           = [tex]\frac{AC}{AB}[/tex]

           = [tex]\frac{\sqrt{2} }{1}[/tex]

           = [tex]\sqrt{2}[/tex]

cosec 45° = [tex]\frac{Hypotenuse}{Perpendicular}[/tex]

           = [tex]\frac{AC}{BC}[/tex]

           = [tex]\frac{\sqrt{2} }{1}[/tex]

           = [tex]\sqrt{2}[/tex]

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - y = 3

x + y = 27

add them:

2x = 30

x = 15

from x+y=27, we can see that y = 12

The x value of 24 makes the equation to be true

The equation is given as

x/2 - 2 = x/4 + 4

Add 2 to all sides of the equation

So, we have

x/2 = x/4 + 6

Subtract x/4 from all sides of the equation

So, we have

x/2 - x/4 = 6

Multiply through by 4

So, we have

2x - x = 24

So, we have

x = 24

Hence, the value of x in the equation is 24

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Answer: The answer is a scale factor of 6

Step-by-step explanation:

5 feet is 60 inches, and on the drawing the closet is 10 inches while the real closet is 5 feet, so just divide 60 by whatever gets you 10.

Step-by-step explanation:

sgshshsbhehdbdbdbsbehebebdbebd

The cosine function that has an amplitude of 4 and a phase shift of pi over 4 is given by:

f(x) = 4cos(2x - π/4) + 4.

The cosine function is defined as follows, considering it's coefficients:

y = acos(bx - c) + d.

The meaning of the coefficients is given as follows:

In this problem, we want an amplitude of 4, hence coefficient a has a value of:

a = 4.

We also want a phase shift of π/4, hence the coefficient c has a value of:

c = π/4.

Among the given options, the one that gives a cosine function with the desired amplitude and phase shift is:

f(x) = 4cos(2x - π/4) + 4.

Which is the first option.

The options are missing, and are given by the image at the end of the answer.

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Answer:

2x + 14

Step-by-step explanation:

8 + 2(x + 3) = 2x + 14

2x + 14 = 2x + 14

0 = 0; True

All real numbers

The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

It should be noted that a fraction is simply used to represent the numbers that aren't whole.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{ \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(\underset{b}{8})(\underset{h}{6}) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(14)(6)~~ + ~~(14)(8)~~ + ~~(14)(10)}} \\\\\\ 48~~ + ~~84~~ + ~~112~~ + ~~140\implies \text{\LARGE 384}~cm^2[/tex]

Answer:

A = 0.041138659 Sq. Mi.

Step-by-step explanation:

now I'm guessing that mark's backyard is GIGANTIC

and according to the info the question gave I know his back yard is also a Rectangle, knowing this we can safely say the formula to find the Area of a rectangle: A = LW to break this down it's like saying:

Area = length × width

the question already states that the width was 4/5 of a mile and the length was 1/2 of a mile we would convert the miles to feet

1 mile = 5,280 ft

4/5 × 5,280 = 4,224 ft

so, 4/5 of a mile would be 4,224 ft

similarly, 1/2 of a mile would be 2,640

1/2 × 5,280 = 2,640

GREAT we found our new length and width

length= 2,640 ft

width=4,224 ft

plug it in the formula

A= L×W

A= 2,640 ft · 4,224 ft

A= 1,146,880 sq. ft.

change that into square miles by dividing by 27878000

0.041138659 Square Miles

Sebastian has solved the expression wrongly and the correct answer will be 536.

We are given the expression:

(87 × 8) - (4 × 40)

We need to simplify the expression.

For this, we need to follow the rule of PEMDAS.

So, we get that:

696 - 160

= 536

Sebastian has simplified it wrong as he has not followed the rule of PEMDAS and first subtracted 4 from 8.

Therefore, we get that, Sebastian has solved the expression wrongly and the correct answer will be 536.

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Answer: 5

Step-by-step explanation:

The weights of meteorite A and meteorite B are 69 tons and 23 tons respectively.

It is given in the question that the weight of meteorite A is 3 times the weight of meteorite B.

Also, the sum of their weights is 92 ​tons.

We have to find the weights of meteorite A and meteorite B.

According to the data given in the question,

Let the weight of meteorite B be x and,

The weight of meteorite A be 3x

Hence, we can write an algebraic equation,

3x + x = 92 tons

4x = 92 tons

x = 92/4 tons

x = 23 tons

Hence, 3x = 3*23 = 69 tons.

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The order of the scales from smallest to largest would be,

inch, centimeter, yard, meter

In this question, we have been given a scale drawing of a car is presented in the following three scales.

We need to order the scale drawings from smallest to largest.

We know that,

1 cm = 2.54 inch

and 1 meter = 1.1 yards

We know that the metric conversion,

1 meter = 100 centimeters

And 1 cm = 2.54 inch

So, 1 meter = 254 inches

This means, meter is the largest scale and inch is the smallest scale.

1 yd = 91.44 cm

This means, yard is greater than centimeter.

Therefore, the order of the scales from smallest to largest would be,

inch, centimeter, yard, meter

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Answer:

A = 1

B = 5

Step-by-step explanation:

The solution of the equation 11kx+13kx= 6 is x = 1/(4k)

The given equation is 11kx+13kx = 6

To solve this equation first we have to take x as common and rearrange the equation, so we can group the like terms together

x(11k+13k) = 6

Add the like terms in the equation

x(24k) = 6

Move 24k to the right hand side of the equation

x = 6/(24k)

Here we have to simplify the value of x, for that we have to divide 6 by 24k in the equation

x = 1/(4k)

Hence, the solution of the equation 11kx+13kx= 6 is x = 1/(4k)

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Answer:

1_y=3(0)-5

y=0-5

y=-5

(0,-5)

2_y=3(-1)-5

y=-3-5

y=-8

(-1,-8)

3_y=3(2)-5

y=6-5

y=1

(2,1)

Step-by-step explanation:

Based on Jaylen's equation and the distance, as well as the time, the missing values are:
                 Distance                               Time minutes

                      2.89                                        24.0

                       3                                             24.9

                     4.34                                          36.0

                       6                                             49.8

The missing values can be found by Jaylen's equation where y is the Time in minutes and x is the distance.

With a time of 24 minutes, the distance is:

24 = 8.3x

x = 24/8.3

= 2.89

With a distance of 3, time would be:

= 8.3x

= 8.3 (3)

= 24.9 minutes

With a time of 36 minutes:

= 36 / 8.3

= 4.34  

With a distance of 6, the time is:

= 6 x 8.3

= 49.8 minutes

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Answer:

Step-by-step explanation:

The graph starts at 70 and decreases by 5 temp after 15 mins

70

65               o

60                                      o

55                                                            o

50

45

40

35

30

25

20

15

10

5                 i                      i                     i

0   5   10   15   20   25   30   35   40   45   50

                      time