Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT

helpp someonee

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

The center of dilation is (-3, 15). The scale factor is not the same for all sides of the triangles, which means that the dilation is not a similarity transformation.

In mathematics, a transformation is a function that maps one set of values, called the domain, to another set of values, called the range. The term is commonly used in geometry and algebra to describe a change in the position, size, or shape of a geometric object or algebraic equation.

Transformations can be classified into several types, including translation, rotation, reflection, scaling, and shearing. Each type of transformation changes the appearance of the object in a specific way.

To identify the center of dilation and scale factor, we can compare the coordinates of corresponding points in the two triangles.

The center of dilation is the point about which the dilation occurs. It can be found by calculating the intersection of the lines joining corresponding points in the two triangles.

Scale factor is the ratio of the lengths of corresponding sides in the two triangles. It can be found by dividing the length of any side in the image triangle by the length of the corresponding side in the pre-image triangle.

Let's calculate the center of dilation first:

Line joining L and L': (y - 11)/(x - 5) = (8 - 11)/(3 - 5) = -3/2

Line joining M and M': (y - 9)/(x - 13) = (7.7 - 9)/(7 - 13) = -0.7/-6 = 0.1167

Line joining N and N': (y - 3)/(x - 11) = (4 - 3)/(6 - 11) = 1/-5 = -0.2

Solving any two equations simultaneously will give us the center of dilation:

(y - 11)/(x - 5) = -3/2

(y - 9)/(x - 13) = 0.1167

Solving the above two equations gives the point of intersection as (-3, 15). Therefore, the center of dilation is (-3, 15).

Now, let's calculate the scale factor:

Length of side LM = √((13-5)² + (9-11)²) = √(80)

Length of side L'M' = √((7-3)² + (7-8)²) = √(26)

Scale factor for side LM to L'M' = √(26)/√(80) = 0.470

Length of side MN = √((11-13)² + (3-9)²) = √(40)

Length of side M'N' = √((6-7)² + (4-7)²) = √(10)

Scale factor for side MN to M'N' = √(10)/√(40) = 0.5

Length of side NL = √((5-11)² + (11-3)²) = √(80)

Length of side N'L' = √((3-6)² + (8-4)²) = √(29)

Scale factor for side NL to N'L' = √(29)/√(80) = 0.544

Therefore, the scale factor is not the same for all sides of the triangles, which means that the dilation is not a similarity transformation.

To know more about equations visit:

https://brainly.com/question/30493090

#SPJ1

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

Learn more about taylor polynomials at https://brainly.com/question/31978863

#SPJ11

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

To learn more about slope of line, click the following link:-

https://brainly.com/question/24778489

#SPJ1

We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.

To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.

The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.

Learn more about regression here:

https://brainly.com/question/17731558

#SPJ11

Goran's monthly salary would be $3963.49

In this problem, the Annual salary or his Gross Salary is $63,000 and annual deductions for his salary which includes taxes & health insurance is $15,438.12 annually. The formula to calculate the Net salary is :

                 => Net Salary = Gross Salary - Deductions

By the formula mentioned above, we can calculate Goran's Net salary which he gets Annually. Here, Gross = $63,000, Deductions = $15,438.12 :

                 => Net = 63,000 - 15438.12   => Net Salary = 47,561.88

Goran gets a Net Salary of $47,561.88, Now we have to calculate the equal amount of paychecks he will receive monthly for 12 months.

Monthly Paycheck = Net/12   => 47561.88/12  =>  $3963.49

Hence, Goran's monthly paycheck will be $3963.49

To Know more about Salary word problems, Click here :

https://brainly.com/question/13582411

#SPJ4

Answer:

There are 176 boys

Step-by-step explanation:

256/16=16

11x16=176

Answer:

B.) You don't really have to worry about finding the slope. You just have to look for the y intercept, which is (0, -2)

Hope this helps! :)

Answer:

Step-by-step explanation:

THE ANSWER IS A.  80 + 20 + (-17)

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

Learn more about data life cycle here

brainly.com/question/28039445

#SPJ4

There are four possible echelon forms of a 2 x 3 matrix, The echelon forms of a 2 x 3 matrix can be obtained by row operations. as shown below:

1. The first echelon form is the one in which the first entry in the first row is nonzero, and the first entry in the second row is zero:
```
[1 x x]
[0 x x]
```
2. The second echelon form is the one in which the first entry in the first row is nonzero, the first entry in the second row is zero, and the second entry in the second row is nonzero:
```
[1 x x]
[0 1 x]
```
3. The third echelon form is the one in which the first entry in the first row is zero, and the first entry in the second row is nonzero:
```
[0 x x]
[1 x x]
```
4. The fourth echelon form is the one in which the first entry in the first row is zero, the first entry in the second row is zero, and the second entry in the second row is nonzero:
```
[0 0 x]
[0 1 x]
```
These are all the possible echelon forms of a 2 x 3 matrix. We know our list is complete because we have considered all the possible combinations of nonzero and zero entries in the first two positions of the first and second rows.

Learn more about echelon forms of matrices:https://brainly.com/question/28767094

#SPJ11

Answer:

Two numbers (integer only): 5 , 12

Step-by-step explanation:

Suppose two numbers are integers: ax and ay, a is common factor and x,y no more common factor

axy = 60   a: 1,2,3,4,6,10,12,30

ax - ay = a(x-y) = 7

after test , I exclude 3,4,6,10,12,30

if a=1    xy=60    (x,y): (3,10) (4,15) (5,12)

(5,12): LCM: 5*12=60     12-5=7

if a=2       xy=30  (x,y): (2,15) (3,10) (5,6)  No solution in this combination

The range of the function g(x) = x^2 - 2, when the domain is {-2, -1, 1, 3}, is C. {-7, -2, -1, 1}.

To find the range of the function g(x) = x^2 - 2, we need to substitute each value from the given domain into the function and observe the corresponding outputs.

For x = -2, g(-2) = (-2)^2 - 2 = 4 - 2 = 2.

For x = -1, g(-1) = (-1)^2 - 2 = 1 - 2 = -1.

For x = 1, g(1) = (1)^2 - 2 = 1 - 2 = -1.

For x = 3, g(3) = (3)^2 - 2 = 9 - 2 = 7.

Thus, when the domain is {-2, -1, 1, 3}, the corresponding range values are {-7, -2, -1, 1}. Therefore, the correct option is C. {-7, -2, -1, 1}.

Learn more about Output here: brainly.com/question/17255854

#SPJ11

Evaluating the distribution sample surveyed and comparing the long run state of the market of the three companies

i) The distribution of sample as at the beginning month of August is :

  Benfel limited =  5000 customers

  Cromwell Ltd  =   7167 customers

  Samtec  Ltd   =   4400 customers

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customer

i) At the Beginning of the month of August the sample size for each company respectively will be

X * 70/100 = 3500 ∴ x ( sample size at August ) = 5000  ( Benfel )

y * 60/100 = 4300 ∴ y ( sample size at August ) = 7167   ( Cromwell )

z * 50/100 = 2200 ∴ z ( sample size at August ) = 4,400  ( Samtec )

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customers

Learn more : https://brainly.com/question/11621168

Answer:

1

Step-by-step explanation:

We do the inverse of everything he has done

He multiplied by 2 so we divide

32 ÷ 2 = 16

He adds 15 so we subtract

16 - 15 = 1

To Check

1 + 15 = 16

16 x 2 = 32

Answer:

c) angle 4

Step-by-step explanation:

correspond is same spot but diagonally.

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

To learn more about Triangle from given link.

brainly.com/question/2773823

#SPJ1

Answer:

Step-by-step explanation:

I hope this helps!!!!

After 30 years of continuous deposits of $2000 per year into an IRA account earning 5% interest compounded continuously, the account would have $8,966.60. The interest earned is -$51,033.40, indicating a loss. The value of the IRA, when you turn 65, is  $8,966.60.

To calculate the amount in the IRA account after 30 years, we can use the continuous compound interest formula. The formula for the future value (FV) of a continuous income stream is given by:

FV = P * \(e^{(rt)}\)

Where:

P = annual deposit amount

r = interest rate per year (in decimal form)

t = number of years

In this case, the annual deposit amount is $2000, the interest rate is 5% (0.05 in decimal form), and the number of years is 30.

FV = 2000 * \(e^{(0.05 * 30)}\)

Using a calculator, we can calculate the value of \(e^{(0.05 * 30)}\) to be approximately 4.483.

FV = 2000 * 4.483 ≈ $8,966.60

So, the amount in the IRA account after 30 years will be approximately $8,966.60.

To determine the interest earned, we subtract the total amount deposited from the final value:

Interest = FV - (P * t)

Interest = 8,966.60 - (2000 * 30) = 8,966.60 - 60,000 = -$51,033.40

The negative value indicates that the total amount deposited is greater than the final value, resulting in an overall loss of $51,033.40.

The value of the IRA, when you turn 65, is equal to the final amount, which is approximately $8,966.60.

Learn more about interest:

https://brainly.com/question/2294792

#SPJ11

The set of integers for which p(k) is true is all even integers for which p(k) is proved true if we also prove that p(k)^p(k 2)=> p(k-2).

Considering that p(- 2) and p(0) are valid and expecting that p(k)^p(k+2) => p(k-2), we can decide the arrangement of numbers k for which p(k) is valid by acceptance. In particular, we can show that p(k) is valid for all even numbers k by enlistment, as follows.

To begin with, since p(- 2) and p(0) are valid, the base instance of k = - 2 is valid.

Then, expect that p(k) is valid for some even number k. Then, at that point, utilizing the given ramifications, we have p(k+2) is valid.

At long last, utilizing a similar ramifications once more, we have that p(k-2) is valid. Accordingly, by acceptance, we have shown that p(k) is valid for all even numbers k.

To learn more about mathematical induction, refer:

https://brainly.com/question/29584620

#SPJ4

Answer:

  34 square feet

Step-by-step explanation:

The net is a useful tool for computing surface area. It often must be divided into sections whose areas must be added to give the required total.

Here, it can be convenient to divide the net into a central vertical rectangle that is 4 ft wide and (1.5 +2 +1.5 +2) = 7 ft high. Then there will be 2 "wings" that are each rectangles 2 ft by 1.5 ft.

Since the area of a rectangle is the product of its length and width, the total area using the above decomposition is ...

  A = (4 ft)(7 ft) +2(2 ft)(1.5 ft) = 28 ft² +6 ft²

  A = 34 ft²

The clearance required from the edge of the roadway to comply with the Super elevation and Side Friction Factor Design (SSD) criteria is 1.68 inches.

To determine the clearance required from the edge of the roadway to comply with the Super elevation and Side Friction Factor Design (SSD) criteria, we need to calculate the maximum lateral displacement of the vehicle as it travels through the curve.

The lateral displacement is given by the following formula

d = V^2 / (g * R)

where:

V = design speed = 50 mph

g = gravitational constant = 32.2 ft/s^2

R = radius of curvature = 1400 ft

Substituting the values, we get

d = (50 mph)^2 / (32.2 ft/s^2 * 1400 ft)

= 0.056 ft = 0.67 inches

Therefore, the maximum lateral displacement is 0.67 inches.

According to the American Association of State Highway and Transportation Officials (AASHTO) Green Book, the minimum desirable clearance from the edge of the roadway to an obstruction is 2.5 times the maximum lateral displacement.

So, the clearance required from the edge of the roadway to comply with the SSD criteria is

Clearance = 2.5 × 0.67 inches = 1.68 inches

Learn more about clearance here

brainly.com/question/15025422

#SPJ4

Answer:

ight, whats good.

To calculate the percentage of students who brought lunch from home, we can use the following formula:

Percentage = (Number of students who brought lunch from home / Total number of students) * 100

Given:

Number of students who ate school lunch = 114

Number of students who brought lunch from home = 266

Total number of students = Number of students who ate school lunch + Number of students who brought lunch from home = 114 + 266 = 380

Plugging in these values into the formula:

Percentage = (266 / 380) * 100 = 70%

So, 70% of the students brought lunch from home.

The difference in the values of the two cars when they are each 7 years old is equal to $6,000.

In order to determine the difference in the values of the two cars, we would have to write an equation that models the price of the cars after a length of time, by using the data points shown in the graph above.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

For Car A, we have:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (9 - 12)/(4 - 2)

Slope, m = -3/2

Slope, m = -1.5

At point (4, 9), a linear equation for car's value can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y - 9 = -1.5(x - 4)

y = -1.5x + 15

In 7 seven years, the value of Car A is given by:

y = -1.5x + 15

y = -1.5(7) + 15

y = $4,500

Note: The negative sign indicates that the value of the car is depreciating.

For Car B, we have:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (10 - 18)/(5 - 1)

Slope, m = -8/4

Slope, m = -2

At point (5, 1), a linear equation for car's value can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - 1 = -2(x - 5)

y = -2x + 11

In 7 seven years, the value of Car B is given by:

y = -2x + 11

y = -2(7) + 3.5

y = $10,500

Now, we can determine the difference as follows:

Difference = $10,500 - $4,500

Difference = $6,000.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The range of number of arrivals you can expect for this supermarket, usually 95% of the time, is 70 to 126.

To determine the range of number of arrivals expected at the supermarket, given the mean and standard deviation, we can use the concept of the normal distribution. Assuming the data is normally distributed, we can calculate the range that includes 95% of the data, which is the usual range. The answer options provided represent different ranges of number of arrivals. We need to identify the range that falls within the 95% confidence interval of the data.

To find the range of number of arrivals expected with 95% confidence, we can use the mean and standard deviation of the sample. The mean represents the average number of arrivals, and the standard deviation measures the dispersion of the data.

Since the data is assumed to follow a normal distribution, we know that approximately 95% of the data falls within two standard deviations of the mean. This means that the expected range will be the mean plus or minus two standard deviations.

To calculate this range, we can add and subtract two times the standard deviation from the mean. Using the given mean and standard deviation, we can determine the lower and upper limits of the expected range.

Comparing the answer options provided, we need to choose the range that falls within the calculated range. The option that matches the calculated range would be the correct answer, representing the range of number of arrivals we expect at the supermarket with 95% confidence.

Learn more about confidence interval here:

https://brainly.com/question/32546207

#SPJ11