: Find all the unknown angles and sides in the triangles described below. Give angles in degrees. If necessary, round values to one decimal place. If there are two triangles that satisfy the given information, find the angles and sides of both triangles. If there is no triangle that satisfies the given information, just say, "there is no such triangle." a) a = 4,b=2, c = 5 b) a = 4,b=2, c = 7 c) a = 3,c= 4, B = 40°

Answer:

Step-by-step explanation:

6 + 2 = 4,  given

6 + 5 = 11, correct

\(~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\underset{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 6i-4j\\ 2i-6j \end{cases}\implies \stackrel{\qquad a~\hfill b\qquad }{\begin{array}{llll} < 6~~,~~-4 > \\ < 2~~,~~-6 > \end{array}}\)

\(\stackrel{\textit{\Large dot product}}{ < 6~~,~~-4 > \cdot < 2~~,~~-6 > \implies (6\cdot 2)+(-4\cdot -6)}\implies 12+24\implies 36 \\\\\\ \stackrel{\textit{\Large magnitudes}}{|| < 6~~,~~-4 > ||\implies \sqrt{6^2+(-4)^2}\implies \sqrt{52}} \\\\\\ || < 2~~,~~-6 > ||\implies \sqrt{2^2+(-6)^2}\implies \sqrt{40} \\\\[-0.35em] ~\dotfill\)

\(\measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right)\implies \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right) \\\\\\ \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{2080}} \right)\implies \measuredangle \theta \approx 37.9^o\)

Answer: v = 18

Step-by-step explanation:

26 = 8 + v

Now, subtract 8 from the right hand side and the left hand side, leave v alone: 18 = v

So, the solution to the integral is \((-sin(2x) + 2cos(2x))e^{(-x)}/5.\)

To evaluate the integral ∫\(e^{(-x)} sin(2x) dx\), we can use integration by parts. The formula for integration by parts is ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign u = sin(2x) and \(dv = e^{(-x)} dx\). Then, we can find du and v as follows:

Differentiating u = sin(2x) with respect to x:

du/dx = 2cos(2x)

Integrating \(dv = e^{(-x)} dx:\)

\(v = ∫e^{(-x)} dx \\= e^{(-x)}\)

Now, we can apply the integration by parts formula:

\(e^{(-x)} sin(2x) dx = -sin(2x)e^{(-x)} - (-e^{(-x)} )(2cos(2x)) dx\)

Simplifying the integral on the right-hand side:

Now, we have a new integral to evaluate. Let's use integration by parts again. This time, let's assign u = cos(2x) and dv = e^(-x) dx:

Differentiating u = cos(2x) with respect to x:

du/dx = -2sin(2x)

Integrating dv = e^(-x) dx:

v = ∫e^(-x) dx = -e^(-x)

Applying the integration by parts formula again:

∫e^(-x)cos(2x) dx = -cos(2x)e^(-x) - ∫(-e^(-x))(-2sin(2x)) dx

\(= -cos(2x)e^{(-x)} + 2∫e^{(-x)}sin(2x) dx\)

Dividing both sides by 5:

∫e^(-x) sin(2x) dx = (-sin(2x) + 2cos(2x))e^(-x)/5\(∫e^{(-x)} sin(2x) dx = (-sin(2x) + 2cos(2x))e^{(-x)}/5\)

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Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

spanish 45 kilis la respuesta seria que los yolander son 53kilos

The equivalent expression of the expression |7m-56| is 56 - 7m

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

|7m-56|

Also, we have the value of m to be

m < 8

The above implies that the value of m is less than 8

This means that the expression in th bracket is a negative member

But because of the absolute bracket, the expression must be positive

so, we have

56 - 7m

Hence, the equivalent expression is 56 - 7m

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Answer:

14 5/8

Step-by-step explanation

1) Convert the mixed number to an improper fraction

3 3/8 = 3 x 8 + 3 / 8 = 24 + 3/ 8=  27/8

2) Convert the second mixed number to an improper fraction

4 1/3 = 4 x 3 + 1/ 3 = 12 + 1/3= 13/3

3) Multiply 27/8 x 13/3= 351/24 divided by 3 = 117/8 117/8 as a mixed number is 14 5/8

4) 14 5/8 is the final answer simplified

Answer:

\(\frac{117}{8}\) (or \(14\frac{5}{8}\) in mixed number form)

Step-by-step explanation:

1) First, convert \(3\frac{3}{8}\) and \(4\frac{1}{3}\) into improper fractions. (Multiply the denominator by the whole number at the front, then add the numerator. The number that you receive from this would be the new numerator, and the denominator would still be the same.) This would be \(\frac{27}{8}\) and \(\frac{13}{3}\) respectively.

2) Multiply the two improper fractions. Multiply the numbers of the numerators and denominators together:

\(\frac{27}{8}\)·\(\frac{13}{3}\)

\(\frac{351}{24}\)

3) Simplify the fraction. Find a number that both 351 and 24 can divide evenly into - in this case, it is 3. Divide both 351 and 24 by 3 and receive the final answer:

\(\frac{351}{24}\)÷\(\frac{3}{3}\)

\(\frac{117}{8}\)

If you need it in mixed number form, find what times 8 can get closest to the number 117 without going over it. In this case, it is 14, since 14 times 8 is 112, and 112 is the biggest number closest to 117 that is still under it. 14 would be the whole number at the front Include the remainder, or how far away 112 is from 117, which is 5, at the numerator. The denominator would stay the same. Therefore, the answer in mixed number form is \(14\frac{5}{8}\).

Answer:

m<1 = 40°

m<2 = 118°

m<3 = 71°

Step-by-step explanation:

✔️m<2 = 180° - 62° (angles in a straight line/supplementary angles)

m<2 = 118°

✔️m<1 = 180° - (118° + 22°) (sum of ∆)

m<1 = 40°

✔️m<3 = 180 - (47 + 62) (sum of ∆)

m<3 = 71°

Step-by-step explanation:

X × 3 + 4 = 22

X × 3 = 22 - 4

X × 3 = 18

X = 18 /3

X = 6

It is indeed possible for it to take more than k pivots to find a "real" BFS when using the Big M method, where k is the number of artificial variables introduced.

If the reduced cost of all non-basic variables is strictly ≥0, it does not necessarily mean that the current basic feasible solution (BFS) is optimal. The reduced cost of a variable represents the amount by which the objective function value would improve if that variable were included in the current BFS. When the reduced cost is ≥0 for all non-basic variables, it indicates that there is no incentive to include any of those variables in the current BFS as they would not contribute to improving the objective function.

However, it is still possible that the current BFS is not optimal. There could be other feasible solutions that have a lower objective function value, and these solutions might involve changing the current set of basic variables. To determine optimality, additional criteria need to be considered, such as the feasibility of the solution and the optimality conditions of the linear programming problem.

When using the Big M method to find an initial basic feasible solution (BFS), it is possible that it may take more than k pivots to find a "real" basic feasible solution that includes only the variables in the original problem.

The Big M method introduces artificial variables with a large coefficient (M) in the objective function to enforce constraints during the initial phase of solving a linear programming problem. These artificial variables ensure that all constraints are satisfied and provide a starting BFS. However, these artificial variables are not part of the original problem and need to be removed to obtain a "real" BFS.

The number of pivots required to find a "real" BFS depends on the particular problem and the choice of artificial variables. It is possible that additional pivots are needed to eliminate the artificial variables and identify a feasible solution that includes only the original variables.

Therefore, it is indeed possible for it to take more than k pivots to find a "real" BFS when using the Big M method, where k is the number of artificial variables introduced.

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Answer:

A) 16 mm

just took the test

Answer:

16

Step-by-step explanation:

Mendelian genetics uses probability pedigrees and chi-square statistics to study the patterns of inheritance of traits. Probability pedigrees are diagrams to calculate chance of inheritance, while chi-square statistics is a test to compare observed data to expected results.

Mendelian genetics is the study of inheritance patterns of traits from parent to offspring. It is based on the work of Gregor Mendel, a 19th century monk and scientist who studied the inheritance of traits in pea plants. Probability pedigrees are diagrams that can be used to calculate the chance of a certain trait being passed down from generation to generation. These diagrams represent the relationships between family members, and the likelihood of a trait being inherited from a parent. Chi-square statistics is a statistical test used to compare observed data to expected results. This is often used to determine the likelihood that an observed trait is inherited from a parent. The chi-square test is used to measure the amount of deviation from the expected, and can help to identify patterns of inheritance. By using probability pedigrees and chi-square statistics, researchers can gain a greater understanding of the patterns of inheritance in a population. This knowledge can be used to develop strategies to prevent or treat diseases that have a genetic component.

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You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:

2000

Step-by-step explanation:

1 kilometer= 1000 meters

2 kilometrs=1000*2

2kilometers-2000meters

Answer:1.125

Step-by-step explanation:

(Y/4) +3 = 7

Subtract 3 from both sides:

Y/4 = 4

Multiply both sides by 4

Y = 16

Answer:

Option D

Step-by-step explanation:

=> (y/4)+3 = 7

Subtracting 3 from both sides

=> y/4 = 7-3

=> y/4 = 4

Multiplying 4 to both sides

=> y = 4*4

=> y = 16

Hello,

\( \frac{10000 \times 6}{10} \)

\(6000\)

Therefore, 6000 will be your answer.

Benjemin

A linear equation in slope intercept form is: \(y = mx+ c\).

The slope intercept form of \(3x + 3y = 24\) is \(y = -x + 8\)

Given

\(3x + 3y = 24\)

Subtract 3x from both sides

\(3x - 3x + 3y = -3x + 24\)

\(3y = -3x + 24\)

Divide both sides by 3

\(\frac{3y}3 = \frac{-3x}3 + \frac{24}3\)

\(y = -x + 8\)

By comparing \(y = -x + 8\) and \(y =mx + c\);

We can conclude that: \(y = -x + 8\) is the slope intercept form of \(3x + 3y = 24\)

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The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.

We start by stating the null and alternative hypotheses:

\($H_0$\): The mean miles/gallon for the vans is 53.8

\($H_A$\): The mean miles/gallon for the vans is not 53.8

We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:

\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)

With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

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The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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Answer: 10

Step-by-step explanation:

16 x 5/8

reduce the numbers to 2 x 5

cross out 16 and 8 and you have 5 left, 16 divided by 8 = 2

2 x 5 = 10

hope this makes sense and helps you :)

if there is 2 pizza and 5 children then 1/5 (fraction) of a pizza, or two slices, must be given to each child.

Start with two pizzas of equal size. Cut each pizza into 5 equal slices, so you have a total of 10 slices. Give each child 2 slices of pizza. Each child receives 2 slices of pizza, which is:

2/10 = 1/5 of a pizza

Each child now has 1/5 of a pizza.

Since there are 5 children, the total amount of pizza shared is:

5 × (1/5) = 1 pizza

Therefore, each child has 1/5 of a pizza, or 0.2 of a pizza.

To get the total amount of pizza that was shared, we can add up the amount of pizza each child received:

5 × (2/10) = 1 pizza

So, each child receives 2 slices of pizza, which is 1/5 of a pizza, and the total amount of pizza shared is 2 pizzas, or 1 whole pizza per 2 children.

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None of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set. Therefore, the correct answer is D) none.

To identify any outliers in the data set, we can use a common method called the 1.5 interquartile range (IQR) rule.

The IQR is a measure of statistical dispersion and represents the range between the first quartile (Q1) and the third quartile (Q3) of a dataset. According to the 1.5 IQR rule, any value below Q1 - 1.5 × IQR or above Q3 + 1.5 × IQR can be considered an outlier.

To determine if there are any outliers in the given data set of wind gusts (17, 22, 8, 13, 19, 36, and 14), let's follow these steps:

Sort the data set in ascending order: 8, 13, 14, 17, 19, 22, 36.

Calculate the first quartile (Q1) and the third quartile (Q3).

Q1: The median of the lower half of the data set (8, 13, 14) is 13.

Q3: The median of the upper half of the data set (19, 22, 36) is 22.

Calculate the interquartile range (IQR).

IQR = Q3 - Q1 = 22 - 13 = 9.

Step 4: Identify any outliers using the 1.5 IQR rule.

Values below Q1 - 1.5 × IQR = 13 - 1.5 × 9 = 13 - 13.5 = -0.5.

Values above Q3 + 1.5 × IQR = 22 + 1.5 × 9 = 22 + 13.5 = 35.5.

Since none of the wind gusts (17, 22, 8, 13, 19, 36, and 14) fall below -0.5 or above 35.5, there are no outliers in this data set.

Therefore, the correct answer is D) none.

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Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

.............

The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

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Answer:

I believe it is true, false, true, true.

Step-by-step explanation:

there are no green marbles, there are way more yellow marbles then even blue and red combined, you could get a blue one being the odds 5/16, and there are only 2 red marbles so it is unlikely that you choose red. I hope this helps!

Answer:

true false true true

Step-by-step explanation:

there is no green marbles

you are most likely to get a yellow

blue marble is gonna be selected

there's only 2 red marbles low chance of getting choose.

Answer: In order to answer this Question, I will need to see Question 3, Part A. for reference.

Answer:

it is 0 -11 0 for the first one and -11 for the second

Step-by-step explanation: