A good way to deal with input data that are not available is to: A. Wait until the data become available B. Guess their values and hope the results are correct C. Estimate their values and perform a sensitivity analysis D. Estimate their values from similar systems

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

For more such questions on right angled triangle.

https://brainly.com/question/64787

#SPJ8

If 624 minutes are used, the total cost will be dollars is $2,493.92.

Part A :

With the information given in the problem, we know that (i) "if a customer uses 150 minutes, the monthly cost will be $83" and (ii) "if the customer uses 980 minutes, the monthly cost will be $332."

From the information given in (i), we can set up the equation where y = total monthly payment = 83, x = minutes = 150, and where b = monthly fee which is an unknown value.

This gives the equation : y = mx+b --> 83 = 150m + b

*Note: m = the slope = rate, which can be defined as the $/min.

From the information given in (ii), we can set up the equation where y = total monthly payment = 332, x = minutes = 980, and where b = monthly fee which is an unknown value.

This gives the equation: y = mx + b --> 332 = 980m + b

At this point, we have two equations with two unknown values, m and b which are constant in both equations. The values that were given are the (x,y) values. To find the unknown m and b values, we can first use an equation to isolate one of the variables.

Solving for m:

From the first equation, b = 83 - 150m.

We can substitute this value of b into the second equation: 332 = 980m + (83 - 150m)

Solve for m:

332 - 83 = 980m - 150m

249 = 830m

m = 3.33

Solving for b:

From the first equation, since solving for m, we know that 83 = 150(3.33) + b

Now, we know that b = 83 - (150)3.33 = 416.50

Answer for Part A: y = 3.33 x + 416

Part B:

Using the equation y = 3.33 x + 416, we can substitute 624 minutes for x.

y = 3.33 (624) + 416

y = 2493.92

Answer for Part B: If 624 minutes are used, the total cost will be $2,493.92.

Hence the answer is If 624 minutes are used, the total cost will be dollars is $2,493.92.

To learn more about equations click here https://brainly.com/question/22688504

#SPJ4

Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

To know more about speed click-

https://brainly.com/question/13943409

#SPJ1

Answer: It is 34$ per one ticket

Step-by-step explanation:

$374 divided by 11 is 34

Answer:

$34 per ticket

Step-by-step explanation:

We were told $374/11tickets.

We are looking for how much per 1 ticket.

Divide to find the per-ticket cost.

Use either 374÷11

374/11 .

374÷11 = 34

This means $34 per ticket.

Answer:

a

Step-by-step explanation:

Answer:

The correct answer is

D) e and l

A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.

A may be the answer.

B) All across the nation, starving people who couldn't buy food stood in breadlines for hours.

B is not the answer.

C) Millions of men and women were out of work and hungry during the Great Depression.

C is not the answer.

D) Breadlines in the Times Square provided free meals for hungry men and women.

D is not the answer.

Let me know if this is the correct answer. :)

Answer:

The correct answer is A!

Step-by-step explanation:

i got it right

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

Learn more about the confidence interval here:

https://brainly.com/question/20309162

#SPJ4

Answer:

sin 30° = 16/x

⇔ 1/2 = 16/x

⇔ x = 16.2

⇔ x = 32

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

mark brainliest plz

The inverse additive of 2 3 is -2 3.. This means that when you add the two numbers together, the result is 0.

2 3 + (-2 3)

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

= -2 + (-3)

= -5

= 0

The additive inverse of 2 3 is -2 3. In mathematics, an additive inverse is a number that when added to another number will produce a result of zero. This means that when you add 2 3 and -2 3 together, the result will be 0. To calculate this, we first start by multiplying each number by its opposite sign. So,

2 x -1 = -2 and

3 x -1 = -3.

Then, we add the two numbers together

: -2 + (-3) = -5.

Finally, we simplify the equation to 0. The additive inverse of 2 3 is -2 3, meaning that when added together, the result will be 0.

Learn more about inverse here

https://brainly.com/question/13715269

#SPJ4

The coordinates (2,1) will be on graph but (1,3) is not on graph.

What is a coordinate?

A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.

This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.

For more questions related to variable

brainly.com/question/25223322

#SPJ9

Given the equation of a parabola is y²=8x and diameter is the normal chord

Let's determine the equation of a circle whose diameter is the normal chord of the parabola.

To obtain the equation of a circle whose diameter is the normal chord of the parabola, we first determine the vertex of the parabola using the formulaV=(-b/2a, -d/4a)

Where the equation of the parabola is y²=4ax.

Substitute a=2, b=0 and d=0 in the above formula.V=(-0/2(2), -0/4(2))=(-0, 0)

Thus the vertex of the parabola is (0,0).Find the slope of the tangent at the vertex of the parabola using the formula m=1/4a.

Substitute a=2 in the formula to get m=1/4(2)=1/8.

Therefore the slope of the tangent at the vertex of the parabola is 1/8.

Since the normal is perpendicular to the tangent, the slope of the normal is -8.Since the diameter is the normal chord, its midpoint is the vertex of the parabola which is (0,0).

Thus the equation of the diameter of the circle is y = -8x.

The coordinates of the two endpoints of the diameter are (-1,8) and (1,-8) respectively.

The midpoint of the diameter is the center of the circle.The midpoint of the diameter is (0,0).The distance from the center of the circle to one of the endpoints of the diameter is the radius of the circle.

We use the distance formula to determine the distance from the center of the circle to one of the endpoints of the diameter.d²=(x₂ - x₁)² + (y₂ - y₁)²

Substitute (x₁, y₁) = (0, 0) and (x₂, y₂) = (-1, 8) to get d²= (0 - (-1))² + (0 - 8)²= 1 + 64= 65

Therefore d = √65 Thus the radius of the circle is √65.

Hence the equation of the circle is x²+y² = 65.

To learn more about finding equation of a circle :

https://brainly.com/question/1506955

#SPJ11

Answer:

85 questions

Step-by-step explanation:

Math test: .9 x 50 = 45 correct

History test: .8 x 50 = 40 correct

45 + 40 = 85 questions

Hope that helps!

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

To learn more about probability:

https://brainly.com/question/24756209

https://brainly.com/question/13604758

#SPJ4

Answer: Divide meters by 1.09 then multiply by 3

Step-by-step explanation: 1 meter is equivalent to about 1.09 yards, and a yard is equal to 3 feet.

Answer: multiply the length value by 3.281

The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.

The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:

- Counting and Cardinality

- Operations and Algebraic Thinking

- Number and Operations in Base Ten

- Measurement and Data

- Geometry

The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.

To know more about Cardinality follow the link:

https://brainly.com/question/23976339

#SPJ11

The rate of y with respect to x for this function is -0.2

from the question, we have the following parameters that can be used in our computation:

The graph

Where we have

(-3, 3.6) and (5, 2)

The rate of y with respect to x for this function is calculated as

Rate = change in y/x

So, we have

Rate = (2 - 3.6)/(5 + 3)

Evaluate

Rate = -0.2

Hence, the rate is -0.2

Read more about slope at

https://brainly.com/question/16949303

#SPJ1

Answer:

111,720

you got to do 2x7x10x12x19x21/6=111,720

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

We have three questions with 2 ratios and are asked if they are proportional or not.

To define proportionality, basically its if the two ratios equal the same value when put in a certain way.

And that way is :

\(\frac{x}{y} =\frac{x}{y}\)

You will substitute the numbers with the letters, in which you will cross multiply :

\(\frac{x * y}{x*y}\)

So subtitute :

1.

\(\frac{1}{3} *\frac{7}{21}\)

\(\frac{1*21}{7*3}\)

\(21=21\)

Therefore 1. is proportional.

2.

\(\frac{3}{4} *\frac{24}{18}\)

\(\frac{4*24}{3*18}\)

\(\frac{96}{54}\)

96 = 54

Therefore 2. is not proportional.

3.

\(\frac{1}{5} *\frac{6}{30}\)

\(\frac{1*30}{5*6}\)

\(\frac{30}{30}\)

30 = 30

Therefore 3. is proportional.

The correct answer for the Estimate at Completion (EAC) based on the given information is not among the provided options. The calculated EAC = $319,772.19.

Given the following information calculate the EAC and select from the list below. The project is planned for 12 months PV $30000 EV $26000 AC$29000 BAC $252000.The correct answer is option A) $293,023.25.

What is EAC? EAC (Estimate at Completion) refers to the total expected cost of the project. EAC includes the actual cost incurred to date as well as the expected cost required to complete the remaining project work.

The formula for EAC is as follows:

EAC = AC + (BAC - EV) / (CPI * SPI)

EAC= Estimated Cost at Completion, BAC= Budget at Completion, AC= Actual Cost, CPI= Cost Performance Index, SPI= Schedule Performance Index, EV= Earned Value, and PV= Planned Value.

Given, PV (Planned Value) = $30000EV, (Earned Value) = $26000, AC (Actual Cost) = $29000, BAC (Budget at Completion) = $252000.

Now, calculate CPI and SPI.

CPI (Cost Performance Index) = EV / AC = 26000 / 29000 = 0.8965SPI

(Schedule Performance Index) = EV / PV = 26000 / 30000 = 0.8667

Calculate EAC using the following formula:

EAC = AC + [(BAC - EV) / (CPI * SPI)]EAC = 29000 + [(252000 - 26000) / (0.8965 * 0.8667)]

EAC = 29000 + [226000 / 0.7773]

EAC = 29000 + 290772.19

EAC = $319,772.19

Therefore, the correct answer is not in the given options.

Learn more about Estimate at Completion at:

brainly.com/question/30623043

#SPJ11

when the time is between 0 and 15 minutes, the distance depends on the time on a relation: d =(1/10)t

when the time is between 15 and 40 minutes, the distance is independent of the time, it is fixed d = 1.5 miles

when the time is between 40 and 50 minutes, the distance depends on the time on the relation: d = 1.5 + (1/10)(t - 40)

Answer:

10.5 ft

Step-by-step explanation:

When central angle is given in radians, the formula for arc length = r × θ

θ = central angle = 5π/3 radians

π = 3.14

r = 2 ft

Hence,

Arc length = 2 ×( 5 × 3.14)/3

= 10.466666667 ft

Approximately to the nearest tenth = 10.5 ft

Therefore, the length of the arc is 10.5 ft

Answer:

6.3

Step-by-step explanation:

just did it

Answer:

43 days till CHRISTMAS

Answer:

B: 8,9,10

Step-by-step explanation:

\(2) \: 2(9 + 3) = 2(12) = 24\)

Answer: 24

Ok done. Thank to me :>

hope this was fast enough!!