quadrilateral TALK is a rectangle. Find the value​

Answer:

what?

Step-by-step explanation:

if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment

The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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Answer:

29.4

Step-by-step explanation:

the are of a parallelogram is =base ×height

height=sin 45×6

height=4.2

base is 7

7×4.2

cos and sec can be found

The requried simplified expression is 1 / cosØ, which is equivalent to secØ. The correct option is secØ.

Let's simplify the given expression and see which of the provided options match:

We are given the expression √(1 + tan²Ø).

Now, recall the trigonometric identity: tan²Ø = sin²Ø / cos²Ø.

Substitute this identity into the expression:

√(1 + sin²Ø / cos²Ø)

Next, find a common denominator for the fraction inside the square root:

√((cos²Ø + sin²Ø) / cos²Ø)

Since cos²Ø + sin²Ø = 1 (as per the Pythagorean trigonometric identity), the expression becomes:

√(1 / cos²Ø)

Now, we can take the square root of 1 and cos²Ø separately:

√1 / √cos²Ø

Simplify:

1 / cosØ

The simplified expression is 1 / cosØ, which is equivalent to secØ.

Therefore, the correct option is: secØ.

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By taking the average number of eggs for both barns, we will see that the correct option is A.

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

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Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

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Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

The time period of a pendulum depends only on the length, so they have the same period.

What is time period of a simple pendulum?

The time period of a simple pendulum is equal to the time it takes to complete one oscillation.

T = 2π√l/g

where l is length of the string of the pendulum.

According to the given question:

Jim and Gina are swinging on adjacent, equal length swings.

Jim weights about twice as much as Gina.

Swing set can be considered as simple pendulum.

The period of a pendulum depends only on the length, so they have the same period (meaning it takes them the same time to swing back and forth).

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Answer:

You have to eat it all fast

Step-by-step explanation:

There is not real question here

Answer:

x = 8

Step-by-step explanation:

x = 3 is the true solution to 2 ln e superscript ln 5 x baseline = 2 ln 15, using the concept of simplification.

Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or issue to a simpler form is referred to as simplification. With calculations and solutions, the problem is made simple.

In order to achieve consistency in efforts, costs, and time, procedures must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive. It is termed simplification to use and interpret the function in order to make it simpler or easier to grasp.

The equation can be simplified by using the fact,

ln(eˣ) = x

This gives,

2 ln(5x) = 2·ln(15)

Comparing arguments, we see that,

5x = 15

x = 3

Check if it is true or not:

2 ln(e^(ln(5·3))) = 2·ln(15)

2 ln(e^2.70805) = 2·2.70805

2 ln(15) = 5.41610

and,

2·2.70805 = 5.41610

So, it is true.

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The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

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Answer:

x=6 since 6 is not being squared but to the power of zero

The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                   = 6x

According to the question,

                            4x + 32 = 6x

                       ⇒ 6x - 4x = 32

                       ⇒  2x = 32

                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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Answer:

The order of the clocks listed below

Step-by-step explanation:

1) 7:01

2) 12:12

3) 4:29

4) 1:11

5) 3:46

6) 6:33

7) 10:15

8) 6:59

9) 2:23

Hello! First, let's get some important information:

Luke works in the:

Now, let's analyze the questions:

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\(\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176\)

\(\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}\)

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

Adding the values of each job:

$16g + $22n

Hope this helps!

Answer:

3x(3x+2)

Step-by-step explanation:

1. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong

The translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B.   shift of 2 units left and then shift of 1 unit up.

In geometry, a translation is a transfer that occurs either horizontally to a left or right as well as vertically up or down. It may also consist of a mix of the two.

Given data:

Parent function- y = x²

New function -  y = (x - 2)² +1

Thus, the translation of the graph from y = x² to y = (x - 2)² +1 is describe by - B.   shift of 2 units left and then shift of 1 unit up.

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Complete question:

1. Which of the following most accurately describes the translation of the graph from y = x² to y = (x - 2)² +1?

A.  shift of 2 units right and then shift of 1 unit up.

B.   shift of 2 units left and then shift of 1 unit up.

If a hypothesis test leads to the rejection of the null hypothesis, a Type I error has been committed.

Type I error:

Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.

The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p value).

The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.

A Type I error has been made if a hypothesis test results in the rejection of the null hypothesis.

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Answer:

unfortunately no

Step-by-step explanation:

with ± (plus-minus) sign, you have to work out the two cases.Therefore there're two solutions for this question i.e

\(x = \dfrac{ \pm4i}{-2} \implies x _{1} = \dfrac{4i}{-2} \: \: \text{and} \: \: x _{2} = \dfrac{ - 4i}{-2}\)

and this simplifies to \(x_1=-2i,x_2=2i\)

The equation representing a line parallel to the line through a(0, 2) and b(1, 0) is y = -2x + 2.

To find the equation of the line passing through points a(0,2) and b(1,0)

The first thing that needs to be determined is the slope of the line.

We can then use the point-slope form of the equation to find the equation of the line.

We can find the slope of the line by using the formula:m=(y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) = a(0, 2) and (x₂, y₂) = b(1, 0).

Substituting the values, we get:m=(0 - 2)/(1 - 0)=-2/1=-2

Therefore, the slope of the line passing through points a and b is -2.

A line parallel to this line will have the same slope.

Hence, we can use the slope-intercept form of the equation to find the equation of the parallel line.

The slope-intercept form of the equation is:y = mx + b ,where m is the slope and b is the y-intercept.

To find the equation of the parallel line, we need to find the value of b.

We know that the line passes through the point a(0, 2).

Hence, we can substitute the values of x and y into the slope-intercept form of the equation and solve for b.2 = -2(0) + b2 = bTherefore, the value of b is 2.

Now we can substitute the values of m and b into the slope-intercept form of the equation to get the equation of the parallel line:y = -2x + 2

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If λ is an eigenvalue of matrix A, then -k is an eigenvalue of matrix A - kI.

To prove this statement, we need to show that if λ is an eigenvalue of matrix A, then -k is an eigenvalue of matrix A - kI.

Let's assume that λ is an eigenvalue of matrix A, which means there exists a non-zero vector v such that Av = λv.

Now consider the matrix A - kI, where I is the identity matrix. We want to find the eigenvalue of A - kI, which we will denote as μ, and a corresponding eigenvector u.

To find μ and u, we can rewrite the equation (A - kI)u = μu as follows:

(A - kI)u = Au - kIu = Av - ku = λv - ku = (λ - k)v

From this equation, we can see that (λ - k) is the eigenvalue of A - kI, and v is the corresponding eigenvector. Therefore, if λ is an eigenvalue of matrix A, then -k is an eigenvalue of matrix A - kI.

Now, let's move on to part (b) of the question.

The clique graph Kn is a complete graph with n nodes, where every pair of distinct vertices is connected by an edge. The adjacency matrix A of the clique graph Kn is a symmetric matrix with entries 1 for adjacent vertices (connected by an edge) and 0 for non-adjacent vertices.

To compute the eigenvalues of the adjacency matrix A analytically, we can use the following approach:

Shift the adjacency matrix A with a suitable value k to obtain a matrix B whose eigenvalues are easy to calculate. Let's choose k = n-1.

Subtract kI from matrix A to obtain matrix B: B = A - (n-1)I.

We know that if λ is an eigenvalue of matrix A, then -k is an eigenvalue of matrix B. Therefore, the eigenvalues of matrix B are given by -k plus the eigenvalues of matrix A.

The eigenvalues of matrix B can be easily calculated because it is a diagonal matrix. The diagonal entries of B are obtained by subtracting (n-1) from the diagonal entries of A. Since A is the adjacency matrix of the complete graph Kn, its diagonal entries are all (n-1). Therefore, the eigenvalues of B are all -1.

Now, to find the eigenvalues of matrix A, we need to shift back from matrix B to matrix A. Since the eigenvalues of B are -1, adding (n-1) to each eigenvalue will give us the eigenvalues of A.

Hence, the eigenvalues of the adjacency matrix A of the clique graph Kn are (n-1) repeated n times.
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Answer:

8

Step-by-step explanation:

Multiply $20 by .4.

The time required for the given investment of $5000 to grow to $7400 at an interest rate of 7.5% per year, compounded quarterly is 5 years 3 months i.e., t = 5.27 years.

The formula for calculating the compound interest is

\(A = P(1 + \frac{r}{n} )^n^t\)

Where A: Future Amount; P: Current investment; r: Interest rate; n: The number of times the amount is compounded; t: The amount of time

It is given that,

Current investment P = $5000

Future amount A = $7400

Interest rate r = 7.5% = 0.075

The amount is compounded quarterly. So, n = 4

On substituting all these in the formula, we get

\(A = P(1 + \frac{r}{n} )^n^t\)

⇒ 7400 = 5000(1 + 0.075/4)^(4t)

⇒ 7400/5000 = (1 + 0.01875)^(4t)

⇒ 1.48 = (1.08175)^(4t)

⇒ (1.08175)^(4t) = 1.48

On applying logarithm on both sides, we get

ln(1.08175)^(4t) = ln(1.48)

⇒ 4t ln(1.08175) = ln(1.48)

⇒ 4t = ln(1.48)/ln(1.08175)

⇒ t = ln(1.48)/4ln(1.08175)

∴ t = 5.27 years

Thus, the time required for the given investment is 5.27 years which is 5 years 3 months.

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Answer:

The equation is;

2y = 5x-32

Step-by-step explanation:

Firstly, we find the mid-point segment

we can use the midpoint segment formula for this

Mathematically, we have this as:

(x,y) = (x1 + x2)/2, (y1 + y2)/2

(x,y) = (9-1)/2, (-8-4)/2

= (4,-6)

Let us find the slope of the given line segment

Mathematically, that will be;

m = (y2-y1)/(x2-x1) = (-4 + 8)/(-1-9) = 4/-10 = -2/5

Now, if two lines are perpendicular, the products of their slopes is equal to -1

so;

m1 * m2 = -1

-2/5 * m2 = -1

m2 = (-1 * 5)/-2

m2 = -5/-2 = 5/2

Since the perpendicular bisector is expected to pass through the midpoint,

we have the equation as slope 5/2 and point (4,-6)

so we use the point-slope equation form

That will be;

y-y1 = m(x-x1)

y+ 6 = 5/2(x-4)

2y + 12 = 5x - 20

2y = 5x -20-12

2y = 5x - 32