Use vectors to find the interior angles (in degrees) of the triangle with the given vertices. (Round your answers to two decimal places.)

Answer:

The answer is 75,474

Step-by-step explanation:

Answer:

  B. 3x + 7y=63

Step-by-step explanation:

You want the equation of the line through point (7, 6) that is perpendicular to the line -7x +3y = -21.5.

Perpendicular lines have slopes that are opposite reciprocals. When the equation of a line is given in the form ax +by = c, the perpendicular line can be written using the same coefficients as ...

  bx -ay = c' . . . . . where c' is appropriate to the desired point

Here, that means the desired equation will have the form ...

  3x +7y = c'

Only one answer choice has this form:

  B.  3x +7y = 63

__

Additional comment

We can verify the constant is correct using the point (x, y) = (7, 6).

  3(7) +7(6) = 21 +42 = 63 . . . . matches the constant in the chosen equation

<95141404393>

Determine the measure of angle x by using angle sum of triangle.

The angle x and angle y forms a linear pair of angles. So,

Substitute 40 for x in the equation to determine the measure of angle y.

So measure of angle y is,

y = 140 degrees.

(B) All mathematic teachers who attended the conference.

Option B is the correct option.

The study and development of techniques for gathering, processing, interpreting, and presenting empirical data are the focus of the science of statistics.

A statistic is a numerical representation of a sample property. One example of a statistic is the average number of points students in one math class got at the conclusion of the term if we assume that class to be representative of the population of all math classrooms.

Due to their role in assisting decision-making, statistics are crucial. To track progress, evaluate performance, identify issues, and set priorities, governments, organizations, and corporations all gather statistics.

to know more about statistics visit:

https://brainly.com/question/29093686

#SPJ4

By using the concept of control chart, it can be concluded that

A large number of plots are on or near the centerline.

Third option is correct.

What is control chart?

Control chart is used to show how a process changes over time.

There are three lines in a control chart.

They are the central line for the average, upper line for the Upper Control Limit (UCL) and a lower line for the Lower Control Limit (LCL)

It is known that the highest performance of a process is obtained when it is between the LCL and the UCL.

That means to get the best result, samples needs to be concentrated near the centerline.

So the third option is correct

A large number of plots are on or near the centerline.

Third option is correct.

To learn more about control chart, refer to the link-

https://brainly.com/question/26478724

#SPJ4

Complete Question

Quality control charts usually have a central line and upper and lower control limit lines. Which of the following is not a reason that the process being monitored with the chart should be investigated?

A sudden and sustained shift in the plots toward the upper or lower control limit

There is an upward trend in the plots

A large number of plots are on or near the central line

A single plot falls outside of the control limits

The equation to represent the situation are as follows:

Company A;

y = 3.25x + 125

Company B;

y = 3x + 150

The miles of travel the total cost will be the same is 100 miles.

Your family needs to rent a car for a week while on vacation. Company A charges $3.25 per mile plus a flat fee of $125 per week. Company B charges $3 per mile plus a flat fee of $150 per week.

Therefore, the equation to express the situation is as follows;

Company A;

y = 3.25x + 125

Company B;

y = 3x + 150

where

The number of miles the travel will cost the same can be calculated as follows:

3.25x + 125 = 3x + 150

3.25x - 3x = 150 - 125

0.25x = 25

x = 25 / 0.25

x = 100

Therefore, the number of miles is 100 miles.

learn more on equation here: https://brainly.com/question/13439238

#SPJ1

Answer:

y=x+7

Step-by-step explanation:

please edit your question man

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

The probability that in a given year it will not snow on January 1st in that town is 0.572.

It should be noted that from the information, the meteorological records illustrates that the probability that it will snow in a certain town on January 1st is 0.428.

Therefore, the probability that in a given year it will not snow on January 1st in that town will be:

= 1 - 0.428

= 0.572

The probability is 0.572.

Learn more about probability on:

brainly.com/question/25870256

#SPJ1

the center of the rail would rise above the ground by approximately 0.24 meters, or 24 centimeters.

How to solve?

To solve this problem, we can use the formula for the change in length of an object due to thermal expansion:

ΔL = αLΔT

where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length, and ΔT is the change in temperature.

We know that the original length of the railroad is 2 kilometers, or 2000 meters, and that the change in length is 11 centimeters, or 0.11 meters. We can also assume that the change in temperature is due to a hot day, which might raise the temperature by 10°C.

The coefficient of thermal expansion for steel, which is commonly used in railroad tracks, is about 1.2 x 10²-5 /°C.

Substituting these values into the formula, we get:

0.11 meters = (1.2 x 10²-5 /°C) x 2000 meters x 10°C

Simplifying this expression, we get:

0.11 meters = 0.24 meters

So the center of the rail would rise above the ground by approximately 0.24 meters, or 24 centimeters.

To know more about Thermal Expansion visit:

https://brainly.com/question/30242448

#SPJ1

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

for such more question on graphic scale

https://brainly.com/question/13473114

#SPJ11

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

More can be learned about the interquartile range at brainly.com/question/12323764

#SPJ1

Comparing both data sets, we have: "Parker's team has a median of 75 points per player, with an IQR of 54 points. The opposing team has a median of points 74 points per player, with an IQR of 3 points.

Given that the data set for Parker's Basketball team is: 35, 32, 60, 80, 36, 90, 45, 76, 96, 92, 100, 120, 60, 38, 75, find the IQR and the median of the team:

The First Quartile is the middle of the first part of the data which is: 38

The middle of the data is the Median which is: 75

Third Quartile is: 92

IQR = third quartile - first quartile = 92 - 38 = 54.

Using the box plot given for the opposing team:

Median = 74

IQR = 76 - 73 = 3

Therefore, we can conclude that: "Parker's team has a median of 75 points per player, with an IQR of 54 points. The opposing team has a median of points 74 points per player, with an IQR of 3 points.

Learn more about Median and IQR on:

https://brainly.com/question/30963784

#SPJ1

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

Answer: 24

Step-by-step explanation:

7+(24/6)+(3²/3)+10

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

7+24/6+3^1+10      Also when I say 3^1 I mean 3 and the exponent is 1

Divide 24 by 6 to get 4.

7+4+3^1+10

Add 7 and 4 to get 11.

11+3^1+10

Calculate 3 to the power of 1 and get 3.

11+3+10

Add 11 and 3 to get 14.

14+10

Add 14 and 10 to get 24.

Answer:

d 88

Step-by-step explanation:

Answer:D

Step-by-step explanation:

88

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

For more such questions on polynomial, click on:

https://brainly.com/question/1600696

#SPJ8

As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

For such more questions on Temperature

https://brainly.com/question/25677592

#SPJ4

Answer:

Step-by-step explanation:

9300

Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb

Step-by-step explanation:

I did the test 2 times got it right 2 times

Have a good day ur welcome

Answer:

B

Step-by-step explanation:

Answer:

  a. $9,090.91

  b. $10,526.32

Step-by-step explanation:

You want to know the value of your $10,000 savings when the price level (a) increases by 10%, and (b) decreases by 5%.

As the price level goes up, the number of items that can be purchased with a given dollar amount goes down in inverse proportion.

When the price level increases by 10%, it is multiplied by 1 +10% = 1.10. The effective purchasing power of the savings will be inversely proportional to that:

  $10,000/1.10 = $9,090.91 . . . "real value" of savings

When the price level decreases by 5%, it is multiplied by 1 -5% = 0.95. The effective purchasing power of the savings will be inversely proportional, so will be ...

  $10,000/0.95 = $10,526.32 . . . "real value" of savings

__

Additional comment

The price level index is usually normalized to a value of 100 at some specified point in time. An increase of 10% in price level would be reflected in an index value of 100×1.10 = 110. Effectively, this means that what did cost $100 at the reference time now costs $110.

With $10,000, you could have purchased 100 of those items, but now you can purchase only 90.91 of those items. Your purchasing power has changed in inverse proportion to the price level.

For the entire year, $9091 will be spent if prices rise by 10%.

In the event that prices drop by 5% for the entire year, $10,526.32

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

Given,

If the price index is 100, savings equal $10,000.

a) If prices increase by 10% annually, the following formula will be used to calculate the true value of the savings:

Real Value = Nominal Value x Prior Year CPI / Current Year CPI

According to the CPI:

= 100 + (100 x 10/100)

For the current year, = 110%.

The resultant value will be

= $10000 x 100/110

= $9090.90

b) If prices decline by 5% annually, the following formula will be used to calculate the true value of the savings:

Real Value = Nominal Value x Prior Year CPI / Current Year CPI

According to the CPI:

= 100 - (100 x 5/100)

for the current year, = 95%

Consequently, the true value will be:

= $10000 x 100/95

=$10,526.32

As a result, your savings would actually be worth $9090.90 if prices rose by 10% annually.

Alternatively, if prices fall by 5% over the course of the year, the actual worth of your savings is $10,526.32.

To learn more about Whole numbers click on the link

https://brainly.com/question/461046

SPJ9

The main belt is not located between these all planets.

What is orbit?

A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.

The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.

The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.

Hence, The main belt is not located between these all planets.

To know more about orbit visit,

https://brainly.com/question/18496962

#SPJ4

Answer:The SI, or metric, system is based on the principle that all quantities of a measured property have the same units, allowing scientists to easily convert large and small numbers. ... Measuring a human's mass in grams would not make much sense because the measurement would be such a large number.

Step-by-step explanation:Mass is a measure of the amount of matter in a substance or an object. The basic SI unit for mass is the kilogram (kg), but smaller masses may be measured in grams (g). To measure mass, you would use a balance.A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity.

Answer:

Step-by-step explanation:I found the answer on this web\(^{}\)site. It seems correct! Link Below!ly/3fcEdSx

bit.\(^{}\)

Answer:

82

Step-by-step explanation:

(a+b)^2 + (a-b)^2

= a^2+2ab+b^2 + a^2-2ab+b^2

= 2(a^2+b^2)

so,

2(a^2+b^2) = 100+64

a^2+b^2 = 82

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1