Do these side lengths make a right triangle? 6, 8, 9

Please I need help with this

Answer:

Bachelor degree or higher qualification

OCCUPATIONAL GROUP: LABOURERS OR PROFESSIONAL
SKILL LEVEL: ADVANCED DIPLOMA OR DIPLOMA

It should be Skill Level 2 because, all those who work or with have profession need to have and provide those needed achievements.

Please Correct me if I’m wrong.

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Answer:

C

Step-by-step explanation:

Answer:

She has to pay $37.8

Step-by-step explanation:

25+10=35

35*0.08+35

2.8+35

=37.8

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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To find the value of the linear correlation coefficient r, you need to have two variables and their corresponding data sets.

The formula for the linear correlation coefficient r is as follows:

\($$r = \frac{n\sum xy - \sum x\sum y}{\sqrt{n\sum x^2 - (\sum x)^2} \sqrt{n\sum y^2 - (\sum y)^2}}$$\)

Where n is the number of data points, x and y are the two variables, and Σ represents the sum of the data. To calculate r, you need to calculate six sums: Σx, Σy, Σxy, Σx2, Σy2, and n.Let's go through an example.

Suppose you have the following data sets for two variables x and y:

$$x: 1, 2, 3, 4, 5$$$$

y: 2, 4, 6, 8, 10$$

First, calculate the six sums:

$$\Sigma x = 1 + 2 + 3 + 4 + 5 = 15$$$$\Sigma y = 2 + 4 + 6 + 8 + 10 = 30$$$$\Sigma xy = (1)(2) + (2)(4) + (3)(6) + (4)(8) + (5)(10) = 110$$$$\Sigma x^2 = (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 = 55$$$$\Sigma y^2 = (2)^2 + (4)^2 + (6)^2 + (8)^2 + (10)^2 = 220$$$$n = 5$$

Now, substitute these values into the formula for r:

$$r = \frac{(5)(110) - (15)(30)}{\sqrt{(5)(55) - (15)^2} \sqrt{(5)(220) - (30)^2}}$$

$$r = \frac{550 - 450}{\sqrt{275 - 225} \sqrt{1100 - 900}}$$

$$r = \frac{100}{\sqrt{50} \sqrt{200}}$$

$$r = \frac{100}{\sqrt{10000}}$$

$$r = \frac{100}{100}$$

$$r = 1$$

Therefore, the linear correlation coefficient r is 1.

This indicates a perfect positive linear relationship between x and y.

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To find the value of the linear correlation coefficient r, you need to first calculate the covariance and standard deviation of the two variables.

The formula for the linear correlation coefficient r is:

\($$r = \frac{\text{cov}(X,Y)}{\sigma_X \sigma_Y}$$\)

where cov(X,Y) is the covariance of X and Y, σX is the standard deviation of X, and σY is the standard deviation of Y.

Here are the steps to calculate the linear correlation coefficient r:

Step 1: Calculate the mean of X and Y.

\($$ \begin{aligned}\overline X &= \frac{1}{n}\sum_{i=1}^{n} X_i\\ \overline Y &= \frac{1}{n}\sum_{i=1}^{n} Y_i\end{aligned} $$\)

Step 2: Calculate the deviations of X and Y from their respective means. \($$\begin{aligned}d_i(X) &= X_i - \overline X\\ d_i(Y) &= Y_i - \overline Y\end{aligned}$$\)

Step 3: Calculate the sum of the products of the deviations.

\($$S_{xy} = \sum_{i=1}^{n} d_i(X) d_i(Y)$$\)

Step 4: Calculate the covariance of X and Y.

\($$ \text{cov}(X,Y) = \frac{S_{xy}}{n-1} $$\)

Step 5: Calculate the standard deviation of X and Y.

\($$ \begin{aligned}\sigma_X &= \sqrt{\frac{\sum_{i=1}^{n} (X_i - \overline X)^2}{n-1}}\\ \sigma_Y &= \sqrt{\frac{\sum_{i=1}^{n} (Y_i - \overline Y)^2}{n-1}}\end{aligned}$$\)

Step 6: Calculate the linear correlation coefficient r.

\($$r = \frac{\text{cov}(X,Y)}{\sigma_X \sigma_Y}$$\)

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Answer:

The correct answer is,

Answer:

6 days

Step-by-step explanation:

hope this helps

A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days  time does it take to sort the books from start to finish

Two or more expressions with an Equal sign is called as Equation.

The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.

450-150=300

If they still have 150 books left to sort, then they sorted 300 books over 4 days.

300/4=75

This means that they sorted 75 books per day.

150 divided by 75 is 2

So it will take 2 more days to finish sorting all the books.

So altogether, it will take 6 days to sort all of the books.

Hence 6 days time does it take to sort the books from start to finish

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a) A symbol with a frequency of at least 0.4 will never be encoded with two or more bits. - True

b) A symbol with a frequency of at least 0.5 will never be encoded with two or more bits. - False

c) If all symbol frequencies are less than 0.33, all symbols will be encoded with at least two bits. - False

d) If all symbol frequencies are less than 0.5, all symbols will be encoded with at least two bits. - True

a) The Huffman greedy algorithm assigns shorter codes to symbols with higher frequencies. Therefore, a symbol with a frequency of at least 0.4 will never be encoded with two or more bits because it has a higher frequency and will be assigned a shorter code.

b) This statement is false. The Huffman greedy algorithm does not guarantee that a symbol with a frequency of at least 0.5 will always be encoded with a single bit. The encoding depends on the distribution of frequencies and the construction of the Huffman tree.

c) This statement is false. If all symbol frequencies are less than 0.33, it is possible that some symbols will be encoded with a single bit if they have a high frequency, while others may be encoded with more than two bits depending on their frequencies.

d) This statement is true. If all symbol frequencies are less than 0.5, the Huffman greedy algorithm guarantees that all symbols will be encoded with at least two bits. This is because the algorithm assigns shorter codes to symbols with higher frequencies, and since all frequencies are less than 0.5, none of the symbols will have a high enough frequency to be encoded with a single bit.

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The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.

(a).

The mean number of moths =  60 traps

Now, the properties of normal distribution and central limit theorem are used.

mean of the individual moth counts = 0.5.

The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = (0.7 / \(\sqrt{60}\))

standard deviation = 0.0905

the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.

(b) .

By using the central limit theorem

The average number of moths in 60 traps = 0.4

The z-score formula is to be calculated by using:

Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60))

Z = -1.94

The probability of a Z-score greater than -1.94 is approximately 0.9738.

Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.

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Answer:

Step-by-step explanation:

Question 7

Angle formed by 2 chords is half of the sum of the intercepted arcs

Question 8

Angle formed by 2 secants is half of the difference of the intercepted arcs

The fraction 1/18 has the following decimal expansion :\($0.0556=\frac{0}{10}+\frac{5}{100}+\frac{5}{1000}+\frac{6}{10000}$\) . The fraction 1/18 is 0.05 .

The fraction 1/18 has the following decimal expansion:

\($0.0556=\frac{0}{10}+\frac{5}{100}+\frac{5}{1000}+\frac{6}{10000}$\)

A number's representation in base-10 is known as its decimal expansion (i.e., in the decimal system). Each "decimal place" in this system is made up of a digit from 0 to 9, arranged so that each digit is multiplied by a power of 10, decreasing from left to right, and with a decimal place designating the s place.

The real or inferred decimal point of a number is represented in its expanded form, or decimal form. 10.2 and 0.0084 are examples of decimal values that have actual decimal places. The entire number 17, which is really represented by the decimal point 17.000000000000, is an illustration of a number with inferred decimal points. It is a number in algebra that is irrational.

Therefore the correct answer is option C ) 0.05 .

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Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

The probability that this person choosen only visited one of the two places is 9/20

What is Probability?

Probability is a measure of the possibility that an event to occur.

 The probability for an event to occur= Possible outcome /Total outcome

to get the possible out come we must Know the number of people that visited ET and NDC only.

using set theory;

if x is the no of people that visited both places then,

8-x =ET only

13-x= NDC only

5= none visited ET and NDC

x+13-x+8-x+5=20

collect like terms

26-x= 20

x =6

therefore ET only= 2

NDC only= 7

probability of ET = 2/20

probability of NDC= 7/20

therefore probability that the person chosen only visited one place = p(ET)+P(NDC)= 7/20+2/20

= 9/20

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The unknown sides of the face of the birdhouse's roof, sides AB and BC, are both approximately 8.47 inches long.

STEP BY STEP EXPLANATION:

We  use the law of sines.

Given that triangle ABC has side AC = 7 inches

angles BAC and BCA both equal 67 degrees,

let's find the lengths of sides AB and BC.

Step 1: Find the third angle, angle ABC. The sum of angles in a triangle is 180 degrees.
Angle ABC = 180 - (67 + 67) = 180 - 134 = 46 degrees

Step 2: Use the law of sines to find the lengths of sides AB and BC.
AB/sin(BCA) = AC/sin(ABC) = BC/sin(BAC)

Step 3: Solve for side AB.
AB = (AC * sin(BCA)) / sin(ABC) = (7 * sin(67°)) / sin(46°)
AB ≈ 8.47 inches (rounded to the nearest hundredth)

Step 4: Solve for side BC.
BC = (AC * sin(BAC)) / sin(ABC) = (7 * sin(67°)) / sin(46°)
BC ≈ 8.47 inches (rounded to the nearest hundredth)

So, the unknown sides of the face of the birdhouse's roof, sides AB and BC, are both approximately 8.47 inches long.

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First, we need to calculate the percentage of citizens who chose either Snakes or Dogs.

The percentage of citizens who chose Dogs is 26%, which is equivalent to 0.26 as a decimal.

The percentage of citizens who chose Snakes is 10%, which is equivalent to 0.10 as a decimal.

To find the number of citizens who chose either Snakes or Dogs, we need to multiply the total number of citizens by the combined percentage of Snakes and Dogs:

0.26 + 0.10 = 0.36

So the combined percentage of Snakes and Dogs is 36%.

To find the number of citizens who chose Snakes or Dogs, we can multiply the total number of citizens by this percentage:

0.36 x 95,000 = 34,200

Answer:

A

Step-by-step explanation:

Here, we are to select which of the options best answer the question. The correct answer here is that the product of the slopes of the two lines is -1.

When we talk about perpendicular lines, these are lines that are at an angle of 90 degrees to each other.

These lines have slopes of which their product is -1. What this means is that one of the slopes is a negative reciprocal of the other. By multiplying these two slopes together, we get -1.

Say we have two perpendicular lines with slopes m1 and m2 respectively, the product of both slopes is equal to -1.

Mathematically in this case;

m1 * m2 = -1

Answer:

the slopes have a product of -1

Step-by-step explanation:

i got it right and i just took the test on gradpoint

good luck!!

A rectangle with sodes of lengrh 84 and 45 has the same perimeter asa hexagon. If the sides of the hexagon all have the same length then what is the length of a side of the hexagon

(A) 41

(B) 46

(C) 43

(D) 45

(E)Other

A square has an area of 25. Two opposite side of the square each have their length tripled what is the perimeter of the new figure

(A) 40

(B) 25

(C) 60

(D) 35

(E)Other

A rectangle measures 6 centimeters by 25 centimeters the probability that a point randomly chosen inside the rectangle is closer to a side of length 25 than a side of length 6 is p/q are relatively prime positive whole numbers what is the sum of p and q

(A) 5

(B) 19

(C) 37

(D) 47

(E)Other

The three values of x that are solutions to X^3 + mx = 37x^2 +n are positive whole numbers that form a geometric sequence what is the sum of the possible values of the common ration of the geometric sequence

(A) 25/12

(B) 9/4

(C) 7/4

(D) 2

(E)Other

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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Answer:

17.2

Step-by-step explanation:

Answer:

354.20 + 50.60w ≥ 1099.51

Step-by-step explanation:

354.20 + 50.60w ≥ 1099.51

If f(x) has a remainder of -2 when divided by x-7, f(7) is -2.

The leftover is -2 when the function f(x) is divided by x-7, according to the question.

hence the result will be -2 if we use the value x = 7 in the function.

This has the same meaning as "f(7)" because "f(7)" also means to enter "x = 7" in the function and "-2" as the response.

Therefore, if f(x) is divided by x-7 with a remainder of 2, f(7) is equal to -2.

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Answer:

The alternating series test states that if the terms of an alternating series decrease in absolute value and approach zero, then the series converges.

For the power series (r - 5)^n/22 with radius of convergence 2, the alternating series test can be used at x = 2 and x = -2. This is because the alternating series test requires the terms to decrease in absolute value, and for values of x beyond the radius of convergence, the terms of the series increase in absolute value and do not approach zero.

For the given alternating series:

1/4 - 1/2 + 1/8 - 2/720 + 1/16 - ...

The terms decrease in absolute value and approach zero, so the alternating series test can be used to verify convergence.

1/6 + 5/13 + ... + a_n

Since a_n is odd and greater than 3, the terms do not alternate in sign and the alternating series test cannot be used to verify convergence.

(-1)^n (2n+1)/(n+1)

The terms decrease in absolute value and approach zero, so the alternating series test can be used to verify convergence.

Step-by-step explanation:

The answer is D, I and II only. The alternating series test can be used to verify convergence of an alternating series, which means the signs of the terms alternate.

In the given power series (r-5) ^22, there is no alternating pattern of signs, so the alternating series test cannot be used to verify convergence of this series at any value of x. Therefore, the answer is none of the options provided (N/A).

For the second part of the question, we need to check each series to see if they have an alternating pattern of signs. The first series (1/4^n) has all positive terms, so the alternating series test cannot be used to verify convergence of this series. The second series (-1)^n(1/2^n) has alternating signs, so the alternating series test can be used to verify convergence of this series. The third series (-1)^n(1/(4n+1)) also has alternating signs, so the alternating series test can be used to verify convergence of this series. Therefore, the answer is D, I and II only.

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Answer:

-$300

Hope this helps : )

Answer:

$300 out of account

Step-by-step explanation:

withdrawals are taking out the money

6*50=300

so she takes out 300 dollars from her account

The composite functions of  (f o g)(x), (g o f)(x) and their domains in the function f( x ) = x² + x and  g( x ) = 1/(x+1) are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R } respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, set up the composite result function (f o g)(x).

(f o g)(x) = f( g(x) )

f( x ) = x² + x

f( g(x) ) = f( 1/(x+1) )  = ( 1/(x+1) )² + 1/(x+1)

Apply product rule to simply

f( g(x) ) = 1² /(x+1)² + 1/(x+1)

f( g(x) ) = (1 + x + 1 )/ (x+1)²

f( g(x) ) = (x+2) / (x+1)²

Next, find the domain by equating the denominator to 0 and solve for x.

x + 1 = 0

x = -1

Domain: {x|x ≠ -1 }

For (g o f)(x), set up the composite result function (g o f)(x).

(g o f)(x) = g( f(x) )

g( x ) = 1/(x+1)

g( f(x) ) = g( x² + x ) = 1/( (x² + x) + 1 )

g( f(x) ) = 1/( (x² + x) + 1 )

g( f(x) ) = 1/(x² + x + 1 )

Next, find the domain by equating the denominator to 0 and solve for x.

x² + x + 1 = 0

x = ( -1±√(1² - 4 ×(1×1) ) / (2 × 1 )

x = (-1±i√3)/2

x = (-1+i√3)/2, (-1-i√3)/2

Hence,

Domain is set of all real numbers.

Domain: {x|x ∈ R }

Therefore the composite functions and their domain are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R }.

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The question is incomplete (as there's no attachment to support the question).

However, I'll base my calculations base on the attached diagram to this solution.

Answer:

Shaded Area = 7.722 cm²

Step-by-step explanation:

Given.

Side of the square = 6cm

π = 3.142

Required:

Area of shaded region

First, the area of the square needs to be calculated.

Area of a square = Length * Length

Area = 6cm * 6cm

Area = 36cm²

Then we calculate the area of the circle.

To calculate this, we need to get the radius of the circle.

If the length of the sides of the square is 6 cm, then the diameter of the square is also 6 cm.

Now that we have the diameter, the radius can be calculated.

Radius, R = ½D (where R and D represent radius and diameter, respectively)

So,

R = ½ * 6 cm

R = 3cm

Area of a circle = πr²

Area = 3.142 * 3²

Are = 3.142 * 9

Area = 28.278 cm²

The shaded area is then calculated by subtracting the area of the circle from the area of the square.

Shaded Area = Area of Square - Area of Circle

Shaded Area = 36cm² - 28.278cm²

Shaded Area = 7.722cm²

Hence, the shaded area 7.722 cm²

The question is incomplete (as there's no attachment to support the question).

However, I'll base my calculations base on the attached diagram to this solution.

Answer:

Shaded Area = 7.722 cm²

Step-by-step explanation:

Given.

Side of the square = 6cm

π = 3.142

Required:

Area of shaded region

First, the area of the square needs to be calculated.

Area of a square = Length * Length

Area = 6cm * 6cm

Area = 36cm²

Then we calculate the area of the circle.

To calculate this, we need to get the radius of the circle.

If the length of the sides of the square is 6 cm, then the diameter of the square is also 6 cm.

Now that we have the diameter, the radius can be calculated.

Radius, R = ½D (where R and D represent radius and diameter, respectively)

So,

R = ½ * 6 cm

R = 3cm

Area of a circle = πr²

Area = 3.142 * 3²

Are = 3.142 * 9

Area = 28.278 cm²

The shaded area is then calculated by subtracting the area of the circle from the area of the square.

Shaded Area = Area of Square - Area of Circle

Shaded Area = 36cm² - 28.278cm²

Shaded Area = 7.722cm²

Hence, the shaded area 7.722 cm²

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that,

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.

If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying

Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.

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Answer:

it will be y=3x +? i forgot how to find b

Step-by-step explanation:

Answer:

y=3x+1

Hope it helps <3

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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