Find the length of a using the Pythagorean theorem

Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.

The study of relationships among triangle angles and angles is known as trigonometry. Mathematical modeling is a fundamental idea in all of geometry because it can be used to reduce any straight-sided form to a collection of triangles. Amazingly complex connections exist between trigonometry and other areas of mathematics, particularly mathematics, real or complicated, infinite series, logarithms, and infinite series.

Here,

Given : Cosx = 9/26 (First quadrant)

To find : Cos2x

We use the formula:

=>Cos2x = 2Cos²x -1

=> Cos2x  = 2(9/26)² - 1

=> Cos 2x = -0.760355

Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.

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2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.

4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.

6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know a relation is a function if it is one-to-one and many-to-one.

But a function can not be one to many means the same value of x can not lead to different values of y.

2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.

4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.

6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.

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The LCM is

( x − 1 ) ( x + 2) ( x + 3)

Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.

The sum of the solutions of the equation 4x(x - 3) = 23 is 3.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, An equation 4x(x - 3) = 23.

Now, Distributing the terms in the LHS we have,

4x² - 12x = 23.

4x² - 12x - 23 = 0.

By applying Sridhar acharya's formula we have,

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\left(-23\right)}}{2\cdot \:4}[/tex].

[tex]x=\frac{3+4\sqrt{2}}{2},\:x=\frac{3-4\sqrt{2}}{2}[/tex].

Therefore, The sum of the solutions of the equation is,

x + x = (3 + 4√2)/2 + (3 - 4√2)/2.

= (3 + 4√2 + 3 - 4√2)/2.

= 6/2.

= 3.

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Answer:

100 people

Step-by-step explanation:

if u notice the points are (2,6) and (6,18). 6÷2=3 and 18÷6=3, so if you catch this pattern than you can do 300÷3=100

Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.

Answer:

1) Let D be the number of dimes and Q be the number of quarters. We can set up the following system of equations to represent the given information:

D + Q = 65

0.1D + 0.25Q = 10.70

The first equation represents the total number of coins Victoria has, and the second equation represents the total value of those coins in dollars. Solving this system of equations will give us the number of dimes and quarters Victoria has.

2) Let M be the number of hours Max spends mowing lawns and T be the number of hours he spends tutoring. We can set up the following system of equations to represent the given information:

M + T = 14

12M + 15T = 192

The first equation represents the total number of hours Max worked over the weekend, and the second equation represents the total amount of money he made during that time. Solving this system of equations will give us the number of hours Max spent on each job.

Answer: The ratio 18:26 simplified is 9:13.

Step-by-step explanation:

To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.

The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13

Answer:9/13

explanation: k12

Answer:

a1 =2

an = an-1  * 4

Step-by-step explanation:

We can tell this is geometric by the way it increases

To find the common ratio, take the second term and divide by the first term

8/2 =4

Check to make sure

2*4=8

8*4 =32

32*4 =128

The recursive formula is

a1 = the first term

an = an-1 *r

a1 =2

an = an-1  * 4

Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]

The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:

A(B + C) = AB + AC

Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.

Since the general rule is that:

a(b + c) = ab + ac

Then, 4[3+2]=4[3]+4[2]

Therefore, the given statement elaborates the Distributive property.

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Answer:    7

Step-by-step explanation:

234577788

        ^

the number in the middle is 7

Answer:

False

Step-by-step explanation:

The slope in the graph is not negative.

The correct equation for the graph would be [tex]y = \frac{3}{2} x+3[/tex]

Tasha, because she has the lowest ratio since 0.7 < 0.625

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratio of hits compared to total attempts is their batting average

Each player on the team wants to have the highest batting average to help their team the most.

Jana has hit the ball 7 times out of 10 attempts.

Average is 7/10=0.7

Tasha has hit the ball 10 times out of 16 attempts.

Tasha Average is 10/16=0.625

We need to find the player who has better batting average

Tasha, because she has the lowest ratio since 0.7 < 0.625

Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625

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Answer:

he will do 34 the next month

Answer:

yes it's smaller

Answer:

24.

Step-by-step explanation:

Because AD is equal to 18 that means that both parts together equal 18 divide 18 by 2, and you get 9. Same thing for AC and this time you get 15. Add them together and you get 24.

Answer:

Step-by-step explanation:

The key words that changes or shows the operation you are going to use in order to solve.

Answer:

Addition, Subtraction, Multiplication, Division and Equals

Answer:

lesser x= -2

greater x= -3/2 or -1.5

Step-by-step explanation:

f(x)=(-x-2)(-2x-3)

-x-2=0

+2 +2

-x=2

-1 -1

x=-2

-2x-3=0

+3 +3

-2x=3

-2 -2

x=-3/2

The zeros of the function are x = -2 and x = -1.5.

The lesser value of x is -2, and the greater value of x is -1.5.

A function's zeros, also known as roots or solutions in mathematics, are the values of the independent variable (typically represented as x) for which the function evaluates to zero. In other terms, a function's zeros are the x-values that make the function equal to zero.

To find the zeros of the function f(x) = (-x - 2) (-2x - 3), we set the function equal to zero and solve for x:

(-x - 2) (-2x - 3) = 0

To find the zeros, we need to consider each factor separately and set them equal to zero:

First factor: -x - 2 = 0

Solving for x, we add 2 to both sides:

-x = 2

Multiplying both sides by -1 to isolate x:

x = -2

Second factor: -2x - 3 = 0

Solving for x, we add 3 to both sides:

-2x = 3

Dividing both sides by -2 to isolate x:

x = -3/2 or -1.5

So, the zeros of the function are x = -2 and x = -1.5.

Therefore, the lesser value of x is -2, and the greater value of x is -1.5.

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Answer: 21.3

Step-by-step explanation:

1. Cross multiply

8(8) = 3(x)

2. Simplify

64 = 3x

3. Divide by 3 on both sides to get the variable by itself

64/3 = 3x/3

4. Simplify

21.3333333333 = x

you can round the answer to the nearest tenth, which would be 21.3

Answer:

Step-by-step explanation:

To solve for r, you need to first find the values of x that make y equal to 24. These values of x are called the roots of the polynomial equation y = (x+3)(x-2)(x-r).

To find the roots of the equation, you can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation y = ax^2 + bx + c.

In this case, the coefficients are:

a = 1

b = -3

c = -24

Substituting these values into the quadratic formula, we get:

x = (3 +/- sqrt(9 - 96)) / 2

= (3 +/- sqrt(-87)) / 2

Since sqrt(-87) is not a real number, there are no real roots for this equation. Therefore, the value of r cannot be determined.

The linear equation y = 15x +100. And the graph and table are given in the attached image.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.

She also gets a $100 bonus for agreeing to start right away.

Let x be an hour, she worked.

And y be the total earnings.

So, the equation,

y = 15x + 100

The table is given in the attached image.

And the graph is also given.

Therefore, the equation is y = 15x + 100

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Answer:

100

Step-by-step explanation:

because if you add it all up you will find the sum

Answer: 2.2214

Step-by-step explanation:

0.07 x 39.98 = 2.7986 (is tax)

2.7986 + 39.98 = 42.7786

45.00 - 42.7786 = 2.2214

Answer:

17

Step-by-step explanation:

We will use angle A as theta in our trigonometric function equation.

We are dealing with hypotenuse and opposite, so the trig ratio is sine.

[tex]sin(39) = x/27[/tex]

[tex]27sin(39)=x[/tex]

[tex]27(0.6293) = x[/tex]

[tex]x=16.992[/tex]

When rounded to the nearest tenth, [tex]x=17[/tex]

Answer:

The researcher compiled a data set consisting of variables such as age, income, and marital status for a sample of 100 retired men

Step-by-step explanation:

A discrete variable is a type of variable that can only take on specific, distinct values that can be counted. Examples of discrete variables include the number of countries visited, shoe size, and number of pets living in a household.

On the other hand, a continuous variable is a type of variable that can take on any value within a certain range through measurement. Examples of continuous variables include pounds of chocolate consumed in the past and height in inches.

Answer:

Answer: Choice B.

Step-by-step explanation:

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21