need help on this asap. i don’t know what to do.

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5

We have to given that;

the terminal side of theta in standard position contains the point (6,-8)

Hence, For given condition we get;

The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

Here, x = 6, y = - 8

Hence, We get;

r = √x² + y²

r  = √6² + 8²

r = √36 + 64

r = √100

r = 10

So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,

cos θ = x / r

cos θ = 6 / 10

cos θ =  3 / 5

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ1

The ratio of Tammy's age to his father's age when his father is 48 will be 1:2.

Since we are informed that when Tammy was 4, the ratio of Tammy’s age to her father’s age was 1:7. This means that his father's age when he was 4 years will be:

= 4 × 7 = 28 years.

Now since his father is 48 years, this means it was 20 years after. Therefore, Tammy's age will be:

= 4 + 20 = 24 years.

Therefore, the ratio of their ages will be:

= 24 / 48 = 1/2 = 1:2.

The ratio of Tammy's age to his father's age when his father is 48 will be 1:2.

Read related link on:

https://brainly.com/question/25240244

Answer:

\(\huge\boxed{B.\ \dfrac{12}{35}}\)

Step-by-step explanation:

Look at the picture.

We know:

\(\sin\theta=\dfrac{a}{c}\\\\\tan\theta=\dfrac{a}{b}\)

We have

\(\sin\theta=\dfrac{12}{37}\Rightarrow a=12,\ c=37\)

Use the Pythagorean theorem.

\(a^2+b^2=c^2\\\\12^2+b^2=37^2\\\\144+b^2=1369\qquad|\text{subtract 144 from both sides}\\\\b^2=1225\to b=\sqrt{1225}\\\\b=35\)

Calculate tangent:

\(\tan\theta=\dfrac{12}{35}\)

Answer: Para resolver el ejercicio se plantea un diagrama de conjuntos, en el

   cual se representan un conjunto A y B ( Ver dibujo adjunto  ) .

        b +x = 46%           a + x = 60%           a + b = 58%

    Al sumar las dos ecuaciones :

       b + x = 46%

       a + x=  60%

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

   a + b +2x = 106%

      58% + 2x = 106%

                 2x = 106% - 58%

                 2x = 48%

                   x = 48%/2

                   x = 24%   no leen ninguna de las dos revistas

       c = 63000 personas   que leen A y B

       se llama al total de personas y :

       y * 18% = 63000 personas

       y = 63000 / 18%

       y = 63000/0.18 = 350000 son las personas hay en Trujillo

Answer:

$270

Step-by-step explanation:

Price after markup was 1.20($250) = $300

Price after discounting:  (1.00 - 0.10)($300) = $270

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

To know more about triangle sum visit:

https://brainly.in/question/28314721

#SPJ9

Answer:

The step by step explanation isn't your problem but it is a way to see how to do your problem

Step-by-step explanation:

This is an exponential growth equation, therefore, it follow the standard form:

where y is the value of the house after a certain number of years,

a is the initial value of the house,

b is the growth rate, and

x is the year number.

We are going to make this easy on ourselves and call year 1985 year 0. Therefore, is year 1985 is year 0, then year 2005 is year 20, and year 2010 is year 25. We will make these the x coordinates in our coordinate pairs.

(0, 113000) and (20, 155000)

Filling into our standard form using the first coordinate pair will give us the initial value of the house at the start of our problem:

Anything raised to the 0 power is equal to 1, so

113000 = a(1) and

a = 113000

Now we will use that value of a along with the second pair of coordinates and solve for b, the growth rate you're looking for:

Start by dividing both sides by 113000 to get a decimal:

To solve for b, we have to undo that power of 20 by taking the 20th root of b. Because this is an equation, we have to take the 20th root of both sides:

The 20th root and the power of 20 undo each other so all we have left on the right is a b, and taking the 20th root on your calculator of the decimal on the left gives you:

b = 1.0159 which rounds to

b = 1.02 This is our growth rate.

Now we can use this growth rate and the value of a we found to write the model for our situation:

If we want to find the value of the house in the year 2010 (year 25 to us), we sub in a 25 for x and do the math:

Raise 1.02 to the 25th power and get:

y = 113000(1.640605994) and multiply to get a final value of

y = $185,388

The drop down menu is used to match each situation as below.

1. The rocket reached its maximum  the x-value of the vertex

height in 5 s.

2. ground level                                    the y-intercept

3. The rocket launcher was                the y-value of the point containing

on the ground.                                     the x-intercept on the right

4. The rocket was in the air 10           the x-intercept on the right                                                                                    

5. The maximum height of the           the y-value of the vertex

rocket is 50 ft.

6. the time the rocket was                the x-value of the point containing the

launched                                          y-intercept

The key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.

The vertex is the point the rocket had the maximum and height.

Generally, the curve traces a parabolic path

Learn more about parabolic equation at

https://brainly.com/question/4061870

#SPJ1

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )

Answer:

Volume)

125 inches cubed

Surface area)

150 inches squared

Step-by-step explanation:

So pretty simple and straight forward, nothing hard

So first we know the side length is 5

The volume of a cube formula is s^3

So 5^3=125

Thats one

The second one is 6s^2

So plug it in

6*5^2

Follow orders of operations

5^2=25

25*6=150

So 150 inches squared

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

for such more question on grams

https://brainly.com/question/13439286

#SPJ8

A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

Learn more about perimeter here

https://brainly.com/question/19819849

#SPJ1

a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

To learn more about equation click on,

https://brainly.com/question/29328778

#SPJ1

Felix has spent a total time of 11.4 hours (or 684 minutes) running this month.

we can calculate the total time Felix has spent running this month.

Given:

Warm-up time: 12 minutes

Running time: 20 minutes

Total exercise time in a month: 240 minutes

Step 1: Calculate the total time spent running

Let x be the total time spent running in minutes.

According to the given information, Felix spends 12 minutes on warm-up and 20 minutes on running.

So, the equation would be:

12 + 20x = 240

Step 2: Solve for x

Subtract 12 from both sides of the equation:

20x = 240 - 12

20x = 228

Divide both sides by 20:

x = 228 / 20

x = 11.4

So, Felix has spent a total of 11.4 hours (or 684 minutes) running this month.

To learn more about equation  visit:

https://brainly.com/question/29657983

#SPJ1

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

Learn more about speed here:

brainly.com/question/13943409

#SPJ1

Answer:

Step-by-step explanation:

Do you still need help?

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

Here, r= 0.80

\(\Rightarrow\ r^2= (0.80)^2=0.64\)

That means 64% of the variability in weight can be explained by the relationship with height.

The variability in weight is 64 % , explained by the relationship with height.

Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.

The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.

Correlation coefficient is represented by r.

Given that, the correlation between height and weight for adults is 0.80.

                   \(r=0.8\)

The variability in weight is, = \(r^{2}=(0.8)^{2} =0.64\)

Thus, the variability in weight is 64 % , explained by the relationship with height.

Learn more:

https://brainly.com/question/24225260

The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.

In formal logic, we often use symbolic notation to represent statements and their logical relationships.

In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.

The translation provided uses three variables:

S represents the statement "You see a penny."

P represents the statement "You pick the penny up."

G represents the statement "All day long you'll have good luck."

The arrow (➡) is a logical connective that represents implication.

It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).

To learn more on translation click:

https://brainly.com/question/31096294

#SPJ1

Answer:

9.14 inches (the answer is rounded up).

In case you don't need the rounded up answer : 9.138

Step-by-step explanation:

You forgot to square root x^2 = 83.52

if you square root your answer you'll be able to remove the (2) exponent from x.

The probability that the mean of a sample of 90 computers would be greater than 117.13 months, if the quality control manager is correct, is approximately 0.9955 or 99.55%.

The sampling distribution of the sample mean follows a normal distribution with a mean of 120 and a standard deviation of 10/sqrt(90) = 1.0541 months (using the formula for the standard deviation of the sample mean).

To find the probability that the mean of a sample of 90 computers would be greater than 117.13 months, we can standardize the sample mean using the formula:

z = (sample mean - population mean) / (standard deviation of sample mean) = (117.13 - 120) / 1.0541 = -2.6089

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a z-score greater than -2.6089 is approximately 0.9955.

Therefore, the probability that the mean of a sample of 90 computers would be greater than 117.13 months, if the quality control manager is correct, is approximately 0.9955 or 99.55%.

To know more about   probability here

https://brainly.com/question/24756209

#SPJ1

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

Qualitative variables include all observable qualities or characteristics of a group or population that can not be measured numerically.

What is Qualitative?

The goal of qualitative research is to collect and examine non-numerical data in order to comprehend people's attitudes, beliefs, and motivations in relation to their social reality.

Quantitative Variable

Quantitative variables, as the name implies, are those that can be expressed by a numerical value.

1. Quantitative (Discrete)

2. Quantitative (Continuous)

3. Quantitative (Discrete)

4. Qualitative (nominal)

5. Qualitative (nominal)

6. Qualitative (nominal)

7. Qualitative (nominal)

8. 9. Quantitative (Continuous)

10. Qualitative (nominal)

11. Quantitative (Continuous)

12. Qualitative (ordinal)

13. Qualitative (nominal)

14. Quantitative (Discrete)

15. Qualitative (nominal)

Complete question: Which is the following a qualitative or quantitative variable?

1)ordinal

2)Continuous

3)nominal

4) All of these

To learn more about Qualitative visit

https://brainly.com/question/14265131

#SPJ1

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

for similar questions on company invests.

https://brainly.com/question/27717275

#SPJ8

Answer:

Function; car efficiency in terms of miles per gallon of gasoline.

Graphs; when analysing social networks..

Step-by-step explanation:

Hope its help you

Answer:

y-1= -1/3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=m(x+3)

the slope is rise over run

the slope is -1/3

Answer:

y - 1 = 3/2 (x + 3)

Step-by-step explanation:

To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point and m is the slope of the line.

First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):

slope = (y₂ - y₁) / (x₂ - x₁)

= (2 - (-4)) / (2 - (-2))

= 6 / 4

= 3/2

Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.

Now we can substitute the values into the point-slope form using the point (-3, 1):

y - 1 = (3/2)(x - (-3))

y - 1 = (3/2)(x + 3)

The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:

y - 1 = 3/2 (x + 3)

Answer:

82

Step-by-step explanation:

180 - 98=82

The sum of two angels is 180

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

For more such questions on equations

https://brainly.com/question/29174899

#SPJ8

Answer:

The polynomial degree is 8

Step-by-step explanation: