sin x = 4/5, cos x = 2/5 find the value of tan x​

Answer:

708

Step-by-step explanation:

We are adding 7 each time

15+7 = 22

22+7 = 29

29+7 = 36

So the common difference is 7

The first term is 15

The formula is

an = a1+d(n-1)  where n is the term number

an = 15+7(n-1)

We want to find the 100th term

a100 = 15+7(100-1)

a100 = 15+7(99)

       = 15+693

     = 708

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation of direct variation is given by,

y = kx   ....(i)    where "k" is a constant.

Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Given that y varies directly with x, and x = 27, then y = 3.

Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:

⇒ 3 = 27k

⇒ k = 3/27

⇒ k = 1/9

Substitute the values of k = 1/9 in the direct variation equation :

⇒ y = (1/9)x

Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.

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The given statement is false as taking a survey on the heights of all your classmates is an example of quantitative data.

Quantitative data is data that can be measured and expressed as numbers,

such as height, weight, age, etc. Categorical data, on the other hand, consists of distinct categories or groups, such as eye color, gender, favorite color, etc.

Data can be classified into two main types: quantitative data and categorical data.

Quantitative data:

Quantitative data is numerical data that represents measurements or quantities.

It deals with things that can be measured and expressed as numbers.

For example, the heights of people, the weights of objects, the ages of individuals, and the temperatures in degrees are all examples of quantitative data.

Quantitative data can be further divided into two subtypes: discrete and continuous data.

Discrete data: Discrete data consists of whole numbers that cannot be further divided into smaller parts.

For example, the number of students in a class, the number of cars in a parking lot, and the number of books on a shelf are all examples of discrete data.

Continuous data: Continuous data consists of real numbers that can take on any value within a specific range.

For example, the height of a person can be measured as 165.5 cm, 170.2 cm, 178.9 cm, etc. These are all examples of continuous data.

Categorical data:

Categorical data, also known as qualitative data, involves the grouping of items into categories or classes.

It represents characteristics or attributes and is not numerical in nature. Categorical data is further divided into two subtypes: nominal and ordinal data.

Nominal data: Nominal data consists of categories with no intrinsic order or ranking.

For example, eye color ( blue, brown, green) and types of fruits (e.g., apple, banana, orange) are examples of nominal data.

Ordinal data: Ordinal data consists of categories with a meaningful order or ranking.

However, the differences between the categories are not quantifiable.

For instance, educational levels (elementary, middle, high school) and satisfaction levels (very satisfied, satisfied, neutral, dissatisfied, very dissatisfied) are examples of ordinal data.

The height survey of classmates, the data collected would be numerical values representing the heights of each individual.

Since heights are measured and expressed as numbers, this falls under quantitative data, not categorical data.

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Answer:

-9<x<31

Step-by-step explanation:

|11 – xl < 20

There are two solutions, one positive and one negative, remember to flip the inequality for the negative

11-x < 20       and 11 -x > -20

Subtract 11 from each side

11-x-11 <20-11   and 11-x-11 >-20-11

-x <9  and -x > -31

Multiply each side by -1, remembering to flip the inequality

x>-9  and x< 31

-9<x<31

Answer:

12

Step-by-step explanation:

Since it's a equilateral triangal all sides are equal.

First you double 6 since that is a right angle in the triangle the other side will have the same length. 6x2=12.

Answer:

98 degrees

Step-by-step explanation:

The angles of a quadrilateral add up to 360 degrees, therefore:

(25x+1)+(25x-2)+(20x-1)+82=360

70x +80=360

70x=280

x=4

the angle at C:

25*4-2 = 98 degrees

Answer:

1/4a

Step-by-step explanation:

1/2a +1/2a+b-b

1/4a -0

1/4a ans

Answer:

A

because x is the horizontal axis and it is moved forward by two because of the addition of 2

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.

Answer:

Step-by-step explanation:

The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).

Answer:

cos(240) = -1/2

sin(240) = -√3/2

Answer:

2/13

Step-by-step explanation:

Cdgfsggdehfetgfrhfer

Answer:

Step-by-step explanation:

∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°

Answer:

it's actually  110, i took the test and got 170 wrong

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 4 = 12 parts

Mango has 5 parts and there are 35 bottles of mango , so

35 ÷ 5 = 7 ← value of 1 part of the ratio

In total there are 12 parts, then

total bottles = 12 × 7 = 84 → D

Answer:

√ 15  + √ 10

Step-by-step explanation:

The answer is above                                                                            

Hi

if " a" is negative then the line goes from up left corner to down right corner.

it's mean decreasing groth. value get more and more negative toward negative infinity as x is going upward to positive infinity.

Step-by-step explanation:

In the picture.

The answer is X = 61°

X = 4×3 X + 7

Resultado

X = 12 X + 7

Forma alternativa

-11 X - 7 = 0

X = -7/11

Answer:

We should shade 37 out of 100 boxes

Step-by-step explanation:

37%

Percent means out of 100

37/100

We should shade 37 out of 100 boxes

Answer:

soln

let one side be c

let another side be d

then

40=d(vertically opposite angle)

5a =c(vertically opposite angle)

again

c+90=180(being linear pair)

or, c=180-90

therefore, c=90

finally

let c be a

5a=5×90

=450

Answer:

a = 10

Step-by-step explanation:

CF is a straight line , so the 3 angles on it sum to 180° , then

∠ BOA = 180° - (90 + 40)° = 180° - 130° = 50°

∠ DOE = ∠ BOA ( vertical angles ) , then

5a = 50 ( divide both sides by 5 )

a = 10

Answer:

D

Step-by-step explanation:

Answer:

524

Step-by-step explanation:

First find the number we want to find

532 - 308 = 224

Set blank -300 equal to the number

blank - 300 = 224

Add 300 to each side

blank -300+300 = 224+300

blank = 524

Answer:

20

Step-by-step explanation:

x-2y=6 and x+y=10

Multiply the second equation by 2

2x+2y = 20

Answer:

145 degrees

Step-by-step explanation:

sum of a triangle is 180 and when the angle next to 145 degree one is supplementary to 145 degree the other two angles must be 145

Answer:

This can be written as y > -5.

Let me know if you have any other questions!

Step-by-step explanation:

3 x 3 x 3 = 27

2 x 2 x 2 = 8

6 x 10 x 2 = 120

27+8+120=155m³

Answer:

-26!!!! :))))

Step-by-step explanation:

Answer:

e. DBC is a straight angle

Answer:

(a).

[tex]0.2 = {5}^{ \frac{1}{3} } [/tex]

(b).

[tex]125 = {5}^{3} [/tex]