I need an answer asap!!

The construction to determine the incenter of a triangle involves drawing the perpendicular bisectors of any two sides of the triangle, finding their intersection point, drawing the bisectors of any two angles of the triangle, finding their intersection point, and drawing perpendiculars from the incenter to each side of the triangle.

The incenter of a triangle is the point where the angle bisectors of each angle of the triangle intersect. It is the center of the circle that is tangent to each side of the triangle. The construction to determine the incenter of a triangle involves several steps.

First, draw any triangle ABC. Then, take any two sides of the triangle, say AB and AC, and draw their perpendicular bisectors. The perpendicular bisector of a line segment is a line that intersects the segment at its midpoint and is perpendicular to it.

Let the perpendicular bisectors of AB and AC intersect at point O. Point O is the circumcenter of triangle ABC, which is the center of the circle that passes through the three vertices of the triangle.

Next, take any two angles of the triangle, say ∠BAC and ∠ABC, and draw their bisectors. The bisector of an angle is a line that divides the angle into two equal parts.

Let the bisectors of ∠BAC and ∠ABC intersect at point I. Point I is the incenter of triangle ABC, which is the center of the circle that is tangent to each side of the triangle.

Finally, draw a line segment from point I to each side of the triangle. Each of these line segments will be perpendicular to its corresponding side of the triangle. The point where all three perpendicular lines intersect is the incenter of the triangle.

To know more about incenter of a triangle refer here :

https://brainly.com/question/27868922#

#SPJ11

The exponential function that relates the mass of the substance to the number of years since 2005 is: \(y = 600 \times e^(-0.048t)\)  . [Where t is a number of years since 2005, and y is mass of the substance in milligrams at that time.]

An exponential function is a mathematical function of the form\(f(x) = a^x,\) representing a rapid increase or decrease in value as x increases or decreases.

It represents a rapid growth or decay in value as the independent variable changes, and is used to model many natural phenomena such as population growth, compound interest, and radioactive decay.

The radioactive decay of the substance follows an exponential decay model. The formula for exponential decay is:

\(y = a * e^(-rt)\)

Where:

y - amount of substance at time t.

a - initial amount of the substance.

r - decay rate per unit of time.

t - time elapsed since the start of the decay.

In this case, we know that the initial mass of the substance in 2005 was 600 milligrams. We also know that the substance decays by \(4.8\)  % each year, which means that the decay rate per year is \(0.048\)  (4.8% expressed as a decimal).

Learn more about decay visit:

brainly.com/question/14355665

#SPJ1

The data value of 9770 corresponds to the 41st percentile if the mean population is 10000 and the standard deviation is 1000.

An equation is an expression that shows the relationship between two or more variables and numbers.

The z score is given by:

z = (raw score - mean)/standard deviation

Let us assume the mean population is 10000 and the standard deviation is 1000.

The 41st percentile corresponds with a z score of -0.23, hence:

-0.23 = (x - 10000)/1000

x = 9770

The data value of 9770 corresponds to the 41st percentile if the mean population is 10000 and the standard deviation is 1000.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The definition of SSS, SAS, and AAS congruency conditions is shown.

SSS condition:

In accordance with the SSS rule, two triangles are considered to be congruent if their corresponding three sides are equal on both triangles.

SAS condition:

The two triangles are congruent if two sides and the included angle of one triangle match those of a second triangle by two sides and the included angle.

AAS condition:

The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, the definition of SSS, SAS, and AAS congruency conditions is shown.

Know more about SSS conditions here:

https://brainly.com/question/3999145

#SPJ4

Based on the given information, the only corporation that qualifies for the 100% dividends-received deduction is Albany Corporation, the Swiss corporation in which Macon has owned 13 percent of the outstanding stock for three years.

To qualify for the 100% dividends-received deduction, a U.S. corporation must meet certain requirements, including ownership percentage and holding period. In this case:

So, the only eligible corporation for the 100% dividends-received deduction is Albany Corporation, the Swiss corporation, as Macon has owned 13 percent of its outstanding stock for three years.

Note: This question is incomplete. Here is the complete information:

Macon, Inc., a U.S.corporation, owns stock in four corporations operating overseas. Which of the following will quality for the 100% dividends-received deduction?

Learn more about companies in: https://brainly.com/question/30532251
#SPJ4

The data should be defined as follows;

a) sample

b) census

c) sample

d) census

In Statistics and science, a sample is a set of data that is collected or obtained from a population, based on a well-defined and unbiased sampling procedure.

A census refers to a strategic procedure that is used to systematically obtain, record, and calculate the population (number of people, houses, firms, etc.) of a country or region at a specific period of time.

In this context, we can broadly classify each of the data as follows;

In conclusion, we can logically deduce that a sample is an unbiased subset of any given population.

Read more on population here: brainly.com/question/267132

#SPJ4

Complete Question:

Define the data either a sample or census.

(a) The percentage of repeat customers at a certain Starbucks on Saturday mornings.

(b) The number of chai tea latte orders last Saturday at a certain Starbucks.

(c) The average temperature of Starbucks coffee served on Saturday mornings.

(d) The revenue from coffee sales as a percentage of Starbucks' total revenue last year.

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

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

Learn more about equation

brainly.com/question/29657983

#SPJ11

Answer:

My guess is 10 because out of the 14 donuts in the graph half of them are jelly filled so following the stats half of the 20 donuts will be jelly filled making 10 half of 20.

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

know more about universal set click here

https://brainly.com/question/8053622

#SPJ4

The mean value of the following: 5, 11, 14, 10, 8, 6​ is equal to 9.

The mean of given observation is the sum total of all observations divided by the total number of observations . The mean is also called as average or central tendency of the data. It is one of the tools to summarize the data.

\(mean = \frac{total \ of \ all \ observations }{number \ of \ observations}\)

Given,

data: 5, 11, 14, 10, 8, 6

sum of observations = 5+11+14+10+8+6 = 54

number of observations = 6

\(mean = \frac{total \ of \ all \ observations }{number \ of \ observations}\\\\mean = \frac{54}{6} = 9\)

Learn more about mean here

https://brainly.com/question/34279315

#SPJ2

The line LM has coordinates (49/21, 73/42).

To find the coordinates of line LM, we need to first solve the system of equations given by the two equations:

2y = 3x + 5

x + 4y = 24

We can solve for one of the variables in terms of the other and then substitute that expression into the other equation.

For example, we can solve the first equation for x in terms of y:

2y = 3x + 5

3x = 2y - 5

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

Now we can substitute this expression for x into the second equation:

x + 4y = 24

(2/3)y - 5/3 + 4y = 24

(2/3)y + 12/3y = 24 + 5/3

(14/3)y = 73/3

y = 73/42

Substituting this value of y into the expression we found for x:

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

x = (2/3)(73/42) - 5/3

x = 49/21

Therefore, the coordinates of line LM are (49/21, 73/42).

Learn more about line coordinates

brainly.com/question/14462788

#SPJ11

The coordinates of the intersection point of the two lines, and thus the coordinates of line LM, are (2, 5.5).

To find the coordinates of line LM, we need to find the intersection point of the given lines.

2y = 3x + 5

x + 4y = 24

We can solve for x and y by substitution:

x = 24 - 4y

2y = 3(24 - 4y) + 5

2y = 72 - 12y + 5

14y = 77

y = 5.5

Substituting this value of y into the first equation:

2y = 3x + 5

11 = 3x + 5

3x = 6

x = 2

Learn more about the coordinate: https://brainly.com/question/2285351

#SPJ11

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

For such more questions on solution

https://brainly.com/question/24644930

#SPJ8

Answer:

Step-by-step explanation:

We are given an equation( a math expression with an equal sign)

5+x-12=x-7

First things first, we need to combine any like terms(add/subtract) on the same side

A term is a number, variable, that is separated by a plus symbol or minus symbol.

Here 5 and -12 are similar terms so let combine them

5-12=-7 So the equation become

x-7=x-7

Step 2:  Notice how the left hand and right-hand side are the same thus we do not need to solve this equation. But let do the work instead

x-7=x-7

x=x

Thus, the solution is All Real Numbers

Part B:

Substitute -4 for x in the original equation.

5+(-4)-12=-4-7

1-12=-4-7

-11=-11

Thus, the equation is true here.

Substitute 0 for x in the original equation

5+0-12=0-7

-7=-7

Equation is True Here

Try 5 for x as well

5+5-12=5-7

10-12=5-7

-2=-2

So equation is true as well.

Let me know if you have any questions or concerns.

The probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.

To find the probability that a randomly selected set of 3 will include 1 a and 2 bs, we first need to determine the total number of possible sets of 3 that can be selected from the sample space.

Since the sample space contains 6 as and 4 bs, the total number of possible sets of 3 that can be selected is:

10C3 = (10!)/(3!*(10-3)!) = 120

This means there are 120 different ways to select a set of 3 from the sample space.

Next, we need to determine the number of sets of 3 that include 1 a and 2 bs. To do this, we can use the combination formula:

6C1 * 4C2 = (6!)/(1!*(6-1)!) * (4!)/(2!*(4-2)!) = 6*6 = 36

This means there are 36 different sets of 3 that include 1 a and 2 bs.

Finally, we can calculate the probability of selecting a set of 3 that includes 1 a and 2 bs by dividing the number of sets that meet this condition by the total number of possible sets:

36/120 = 3/10

Therefore, the probability that a randomly selected set of 3 will include 1 a and 2 bs is 3/10.

Given that the sample space contains 6 As and 4 Bs, let's find the probability that a randomly selected set of 3 will include 1 A and 2 Bs.

1. First, calculate the total number of ways to choose 3 elements from a set of 10 (6 As and 4 Bs). We use the combination formula:

C(n, r) = n! / (r!(n-r)!)
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3!7!) = 120

2. Next, find the number of ways to choose 1 A from the 6 As and 2 Bs from the 4 Bs:

C(6, 1) = 6! / (1!(6-1)!) = 6! / (1!5!) = 6
C(4, 2) = 4! / (2!(4-2)!) = 4! / (2!2!) = 6

3. Multiply the number of ways to choose 1 A and 2 Bs:

Number of favorable outcomes = C(6, 1) × C(4, 2) = 6 × 6 = 36

4. Finally, calculate the probability:

Probability = Number of favorable outcomes / Total number of outcomes = 36 / 120 = 3/10 or 0.3

So, the probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.

Learn more about probability at: brainly.com/question/30034780

#SPJ11

The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

More can be learned about surface area at https://brainly.com/question/16519513

#SPJ1

Answer:

The correct option is b) 0.0593.

Given that a single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 12 customers per hour and an average service rate of 16 customers per hour.

The probability of 5 customers in the system is to be calculated.

Probability that there are n customers in the system is given by:

                    Pn= λ/μ

λ = average arrival rate = 12 customers per hour

μ = average service rate = 16 customers per hour

                   P5 =  λ/μ * (λ/μ)^n−1 / n!

                         = 12/16 * (12/16)^4 / 5!

                         ≈ 0.0593

Therefore, the probability of 5 customers in the system is approximately 0.0593.

Hence, the correct option is b) 0.0593.

Learn more about probability  on the given link:

https://brainly.com/question/13604758

#SPJ11

Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

The fewest number of colors needed is 1. We can use only one color to color all the vertices of the given graph.

The given graph has vertices connected by an edge, which can't have the same color. To color the vertices with the fewest number of colors possible, we must find the chromatic number of the graph.

The chromatic number of a graph is the smallest number of colors that are needed to color all the vertices such that no two adjacent vertices share the same color.

The given graph has six vertices, namely 2, 3, 4, 5, 7, and 8. To color these vertices, we must find the minimum number of colors that can be used.

We can start by using one color and then continue to add more colors if needed. We can color any vertex with any color as we have only one vertex in the graph.  the fewest number of colors needed is 1.

We can use only one color to color all the vertices of the given graph.

 In conclusion, we only need one color to color all the vertices of the given graph.

To know more about vertex visit:

brainly.com/question/32432204

#SPJ11

Voluntary sampling is one type of sampling method that is not probability based this means that the survey's findings cannot be reliably extrapolated or generalized.

What is voluntary sampling?

A sample made up of people who freely decided to take part in the sample group is known as a voluntary sampling. Those who want to participate in a voluntary sampling typically do so because they are passionate about the topic of the survey. According to definitions, a sample with self-selected individuals is one that includes voluntary responses.

Researchers who wanted to be able to generalize their findings to the entire community would not choose volunteer sampling because it does not produce a representative sample.

A convenience sample is one that the researcher can use at their discretion, such as voluntary sampling.

However, because only those who have strong opinions about the poll will typically agree to participate, voluntary sampling can result in bias.

The survey's findings cannot be confidently extrapolated or generalized because of the possibility of bias.

To know more about voluntary sampling....

https://brainly.com/question/13298621

#SPJ4

Sarah's speed in kilometers per minute is 0.6 kilometers per minute.

To convert the speed from miles per hour to kilometers per minute, we need to perform the following conversions:

1 mile = 1.60934 kilometers

1 hour = 60 minutes

We will convert miles per hour to kilometers per hour:

= 22.7 miles/hour * 1.60934 kilometers/mile

= 36.525918 kilometers/hour

We will convert kilometers per hour to kilometers per minute:

= 36.525918 kilometers/hour / 60 minutes/hour

= 0.60876697

= 0.6 kilometers/minute.

Full question:

Sarah is riding her bicycle at a speed of 22.7 miles per hour. What is Sarah's approximate speed, in kilometers per minute? justify your answer

(1) 0.2

(2) 0.6

(3) 36.5

(4) 36.6​.

Read more about speed

brainly.com/question/27888149

#SPJ1

Answer:

63 inches

Step-by-step explanation:

1 foot = 12 inches

5 feet = 60 inches

60+3 = 63 inches

You would use a histogram to illustrate data for a variable measured at the interval/ratio scale of measurement.

A histogram is a type of graph that uses adjacent rectangles to depict the distribution of continuous numerical data.

A variable is a feature or property that can take on several different values. In the research context, a variable can be described as anything that may have an effect on the outcome of a study or research project.

Variables can be classified according to the scale of measurement, which is a mathematical categorization of the nature of variables that have been measured. There are four different levels of measurement: nominal, ordinal, interval, and ratio.

Nominal data describes categories that cannot be ordered, while ordinal data describes categories that can be ordered. Interval data measures differences between variables, but there is no true zero point. On the other hand, ratio data has a true zero point and describes the ratio of two variables.

Therefore, histograms are used to illustrate data for a variable measured at the interval/ratio scale of measurement.

Learn more about variable:

brainly.com/question/15078630

#SPJ11

Answer:

Step-by-step explanation:

we have to know what the numbers are

Answer:

\(x=-9, \quad x=\dfrac{1}{4}\)

Step-by-step explanation:

Given function:

\(f(x)=(4x-1)(x+9)\)

The roots of a function are the x-values for which the function equals zero.  Therefore, to find the roots, set the function to zero and solve for x.

Set the function to zero:

\(\implies f(x)=0\)

\(\implies (4x-1)(x+9)=0\)

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Apply the zero product property:

\((4x-1)=0 \implies x=\dfrac{1}{4}\)

\((x+9)=0 \implies x=-9\)

Therefore, the roots of the given function are:

\(x=-9, \quad x=\dfrac{1}{4}\)

1. According to Boyle's Law, the pressure and volume of a fixed amount of gas at constant temperature are inversely proportional to each other. This means that as the pressure decreases, the volume will increase by the same factor.

Using the formula P1V1 = P2V2, where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume, we can solve for V2:

P1V1 = P2V2
(4.5 atm)(22 mL) = (2 atm)(V2)
V2 = (4.5 atm)(22 mL) / (2 atm)
V2 = 49.5 mL

Therefore, the volume of the gas at 2 atm will be 49.5 mL.

For this question, we use Boyle's Law to determine the relationship between pressure and volume of a fixed amount of gas at constant temperature. The formula P1V1 = P2V2 is used to solve for the final volume of the gas when the pressure is changed from 4.5 atm to 2 atm.

It is important to note that the temperature of the gas remains constant in this scenario. If the temperature were to change, we would need to use the Combined Gas Law which takes into account the pressure, volume, and temperature of a gas to solve for the final volume.
To Know more about volume visit;
https://brainly.com/question/1578538
#SPJ11

Answer:

3/8

Step-by-step explanation:

convert 1/4 to 2/8 and then subtract and that would equal the distance. distance of 3/8 hope this helps

The distance in units between 5/8 and 1/4 on a number line is 3/8.

Here,

We have to find,

The distance in units between 5/8 and 1/4 on a number line.

What is Number line?

Number line is a line in which all types off numbers are show like the negative number the positive numbers and fraction.

Now,

Distance between the 5/8 and 1/4 is find as,

\(\frac{5}{8} - \frac{1}{4} = \frac{5}{8} - \frac{2}{8} = \frac{3}{8}\)

Hence, The distance in units between 5/8 and 1/4 on a number line is 3/8.

Learn more about the Number line visit:

https://brainly.in/question/23645

#SPJ2

Polygon Q is a scaled replica of Polygon P with a factor of half. The area of Polygon Q is a proportion of the area of Polygon P= 1/4

A polygon is a plane figure characterized by a fixed amount of straight-line segments joined to form a closed polygonal chain. A polygon is a bounded plane region, a bounding circuit, or both. The segments of such a polygonal circuit are referred to as its edges or sides.

Polygons are made up of triangles, hexagons, pentagons, and quadrilaterals. The name indicates how many sides the form has. A triangle, for example, has three sides, whereas a quadrilateral has four.

We are aware of this.

If the areas of two figures were similar, the ratio of their areas equals the scale factor squared.

Let

z → the scale factor

x → polygon q’s area

y → polygon p’s area

So,

Z² = x/y

Z is given as  = 1/2

Putting value we get:

(1/2)² = x/y

(1/4) = x/y

x = 1/4(y)

The  fraction of Polygon P's area = 1/4

To know more about polygon visit:

https://brainly.com/question/24464711

#SPJ9

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

To learn more about matrix visit:

brainly.com/question/29239316

#SPJ11