Please help geometry question Pythagorean theorem

By answering the above question, we may state that John consequently variable  sold 35 notepads.

A variable is anything that may be altered in the context of an experiment or mathematical idea. A single symbol is frequently used to denote a variable. Generic symbols for variables are the letters x, y, and z. Variables are qualities with a wide range of values that may be investigated. These include characteristics like height, age, wealth, place of birth, academic standing, and kind of residence, to mention a few. The two primary groups of variables can be separated using numerical and categorical approaches.

Let's define the variables first:

Let's call John's sales of notebooks "n" the quantity.

Each notebook costs $1.50, hence the whole profit from notebook sales is $1.50.

John earned a total of $92.50, according to the issue, thus we can create the following equation:

$40.00 + 1.5n = $92.50

Now that "n" is solved, we can:

$1.5n = $92.50 - $40.00

$1.5n = $52.50 \sn = 35

John consequently sold 35 notepads.

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The areas of triangles ABC are

12. The area is 4.8 cm²

13. The area is 61.4 m²

14.  The area is 9.0 ft²

The area of a triangle is the region occupied by the triangle.

12. Area of triangle ABC

Given that

Area of triangle ABC is A = 1/2bcsinA

= 1/2 × 7 cm × 4 cm × sin20°

= 7 cm × 2 cm × sin20°

= 14 cm² × sin20°

= 14 cm² × 0.3420

= 4.788 cm²

≅ 4.8 cm²

The area is 4.8 cm²

13. Area of triangle ABC

Given that

Area of triangle ABC is A = 1/2absinC

= 1/2 × 10 m × 15 m × sin55°

= 5 m × 15 m × sin55°

= 75 cm² × sin55°

= 75 cm² × 0.8192

= 61.436 cm²

≅ 61.4 cm²

The area is 61.4 cm²

14. Area of triangle ABC

Given that

Area of triangle ABC is A = 1/2acsinB

= 1/2 × 3 ft  × 9 ft × sin42°

= 1/2 × 27 ft² × sin42°

= 13.5 ft² × sin42°

= 13.5 ft² × 0.6691

= 9.033 ft²

≅ 9.0 ft²

The area is 9.0 ft²

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The probability that one client drives less than 10,000 miles a year and has an accident is 0.06.

Given is a table as shown in the image attached.

It is aske to find the probability that one client drives less than 10,000 miles a year and has an accident. Form the table, we can write the cell corresponding to driving less than 10,000 miles and having the accident as 0.06.

Therefore, the probability that one client drives less than 10,000 miles a year and has an accident is 0.06.

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The solution to the system of equations is x = 6 and y = 2.

The system of equations can also be solved using the elimination method.

We are aware that a system of linear equations is a collection of two or more equations with at least two unknown variables. Finding the answers to the unknown variables in a system of equations is the process of solving a linear equation. There are numerous ways to identify the answers to the unknown variables. These include the cross-multiplication method, elimination method, substitution method, and graphic method.

from the question:

A system of equations can be solved in a variety of methods, including substitution, elimination, and matrices. I'll apply the substitution technique here:

x = 8 - y is the result of the first equation.

We can solve for y by substituting this expression for x in the second equation:

-x + 4y = 2

-(8 - y) + 4y = 2 (substituting x = 8 - y)

-8 + 5y = 2 (simplifying)

5y = 10 (adding 8 to both sides)

y = 2 (dividing by 5)

Knowing y, we can now use this quantity to solve one of the initial equations to determine x:

x + y = 8

x + 2 = 8 (substituting y = 2)

x = 6 (subtracting 2 from both sides)

Hence, x = 6 and y = 2 are the answers to the system of equations.

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The general format of the exponential expression is given as follows:

[tex]a^{\frac{n}{m}}[/tex]

In which:

The radical form is given as follows:

[tex]\sqrt[m]{a^n}[/tex]

Meaning that the equivalence relation is given as follows:

[tex]\sqrt[m]{a^n} = a^{\frac{n}{m}}[/tex]

That is:

Hence the relation for the cube root of 21 is given as follows:

[tex]\sqrt[3]{21} = 21^{\frac{1}{3}}[/tex]

(applying the conversion of the fractional exponent to a radical expression).

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C. The diameter of a circle is two times the radius.

The solution is:

Net income = $31,130

Total Assets = Owner's Equity and Liabilities = $104,230

Income can be stated as the consumption and saving opportunity gained by an entity within a specified timeframe, which is normally expressed in monetary terms. Income is that which means difficult to define conceptually and the definition may be different across fields.

here, we have,

The  Income Statement of Profit or Loss and the Statement of Financial Position can be prepared  as follows:

Sugar Almonds Ltd  

Income Statement of Profit or Loss  

For the Year Ended 31st December 2020  

Particulars                                                        $                       $            

Sales Revenue                                                                       93,700

Cost of sales:  

Opening inventory                                      12,000

Purchases                                                   49,000

Closing inventory - income statement   (24,350)  

Cost of sales                                                                         (36,650)  

Gross profit                                                                             57,050

Operating expenses:  

Administrative Expenses                               (850)

Rent paid                                                     (2,000)

Telephone                                                      (900)

Wages                                                         (21,650)

Travel expenses                                             (330)  

Total operating expenses                                                   (25,730)

Interest income (expense):

Interest paid                                                                              (190)  

Net income                                                                             31,130  

Sugar Almonds Ltd  

The Statement of Financial Position  

As at 31st December 2020  

Particulars                                                        $                        $            

Fixed Assets

Premises at cost                                         70,000  

Vehicles at cost                                           5,800  

Total Fixed Assets                                                                 75,800

Current Assets

Cash                                                                 630  

Bank                                                               2,100

Closing inventory - Statmt of fin positn    24,350  

Trade Receivables                                        1,350  

Total Current Assets                                                              28,430  

Total Assets                                                                           104,230

Owner's Equity

Capital                                                      72,000  

Drawings                                                   (6,450)

Net income                                                31,130  

Total Owner's Equity                                                             96,680

Current Liabilities  

Trade Payables                                          6,400  

VAT                                                              1,150  

Total Current Liabilities                                                          7,550  

Owner's Equity and Liabilities                                           104,230

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Answer:

See the explanation below.

Step-by-step explanation:

You need to calculate the remaining side.

Pythagorean theorem: c^2 = a^2 + b^2

=> 5^2 = 4^2 + b^2

b^2 = 25 - 16 = 9

b = √9 = 3

Draw a right triangle with the sides of 3cm and 4cm are perpendicular to form 90 degrees angle. Then connect the ends of 2 lines to form the hypotenuse which will be 5 cm long.

This can be resolved with d = 25 miles by multiplying equation both sides by

If Jen has driven 15 miles, and this is 3/5 of the total distance, we can use the following equation to find the total distance d:

15 = (3/5) * d

To solve for d, we need to isolate it on one side of the equation. We can start by dividing both sides of the equation by 3/5, which is the same as multiplying by its reciprocal, 5/3:

15 * (5/3) = d

Simplifying the expression on the left side, we get:

25 = d

Therefore, the total distance Jen needs to travel to get to the mall is 25 miles.

In summary, the equation that can be used to find the total distance d, given that Jen has driven 15 miles and this is 3/5 of the total distance, is:

15 = (3/5) * d

Which can be solved for d by multiplying both sides by 5/3, giving:

d = 25 miles

In conclusion, assuming that Jen has driven 15 miles, which is 3/5 of the entire trip, the equation that can be used to determine the whole distance d is:

15 = (3/5) * d

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Answer:

$13,500

Step-by-step explanation:

I = (P·r·t) / 100

I = (9,000·10·15) / 100

I = 1,350,000 / 100

I = $13,500

Please mark brainliest.

Thanks.

The domain of the function shown on the graph is {-3, -2, 2, 3 }.

The domain of a function is the set of all possible input values (also known as the independent variable or x-values ) for which the function produces a valid output (also known as the dependent variable or y-values).

In other words, it is the set of values that can be plugged into the function to produce a meaningful result.

In this case, there are four (4) points on the graph.

The coordinates of the points are;

Since the domain are the set of the x-values, the domain of the function of the graph will be;

Domain : {-3, -2, 2, 3 }

Therefore, option B) {-3, -2, 2, 3 } is the correct answer.

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Answer: 81.75

Make 7 an improper fraction:

[tex]\frac{109}{12}[/tex] = [tex]\frac{k}{9}[/tex]

(9)(109) = 12k

981 = 12k

k = 81.75

Answer:

To compute the probability that a person who tests positive actually has the disease, we need to use Bayes' theorem:

P(D|P) = P(P|D) * P(D) / P(P)

where:

P(D|P) is the probability of having the disease given a positive test result

P(P|D) is the probability of testing positive given that the person has the disease (also known as sensitivity), which is 1 - false negative rate = 0.92 in this case

P(D) is the incidence rate of the disease, which is 0.4% = 0.004

P(P) is the probability of testing positive, which can be computed using the false positive rate as 1 - specificity = 1 - 0.98 = 0.02

Plugging in the values, we get:

P(D|P) = 0.92 * 0.004 / 0.02 = 0.184

Therefore, the probability that a person who tests positive actually has the disease is 0.184, or about 18.4%.

Answer:

Step-by-step explanation: 5.6 / 8 = 0.7

Answer:

  π/4, 7π/4

Step-by-step explanation:

You want the values of θ in the range 0 ≤ θ ≤ 2π such that cos(θ) = √2/2.

The cosine function has the value √2/2 for angles ±45° = ±π/4 radians and those angles added to an integer multiple of 2π. In the domain of interest, the angles are ...

  θ = π/4 and 7π/4

7 cm

im pretty sure u need to add more information to this question, but imma assume an answer

so if it's a square

21cm = 3xcm

7cm = xcm

so x = 7

 [tex]\frac{2}{5+\sqrt{3}}[/tex]  fraction can be simplified to [tex](10 - \sqrt{23}) / (22)[/tex] .

What are fractions?

A fraction is a number that represents a part of a whole. It consists of two numbers, a numerator and a denominator, separated by a horizontal or diagonal line. The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts in the whole.

For example, 1/2 represents one part out of two equal parts, or one-half of the whole. Fractions can also represent values less than one, greater than one, or even negative values.

To rationalize the denominator, we can multiply both the numerator and denominator by the conjugate of the denominator, which is 5 - 3^(1/2):

[tex]\frac{2}{5+\sqrt{3}}[/tex] * [tex]\frac{(5-\sqrt{3})}{(5-\sqrt{3})}[/tex]

=       [tex]\frac{2*(5-\sqrt{3})} {(5+\sqrt{3}) (5-\sqrt{3})}[/tex]

= [tex](10 - \sqrt{23}) / (25 - 3)[/tex]

= [tex](10 - \sqrt{23}) / (22)[/tex]

Therefore, [tex]\frac{2}{5+\sqrt{3}}[/tex] can be simplified to [tex](10 - \sqrt{23}) / (22)[/tex]

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Complete question:

simplify the given fraction [tex]\frac{2}{5+\sqrt{3}}[/tex]

Answer:

Step-by-step explanation:

[tex]C=\pi d[/tex]

   [tex]=\pi \times 35[/tex]

   [tex]\approx 109.96 feet[/tex]

Answer:

110. feet approximately

Step-by-step explanation:

circumference means a closed boundary of a curved shape. Mainly known as a circle. To find circumference, use the formula c= π (pie) times diameter.

35 × π ≈ 110

Hope this helps :)

The likelihood that someone with symptoms and a positive test has hepatitis is therefore 0.994, or almost 99.4%.

We need to apply Bayes' theorem to determine the likelihood that a person with symptoms and a positive test actually has hepatitis. Let H stand for the occurrence that the person has hepatitis and T stand for the occurrence that the test is positive. Next, we have:

P(T | H) * P(H) / P(T | H) = P(H | T) (T)

where P(H) is the prior probability of the individual having hepatitis (which is 0.8), P(H) is the likelihood of the individual testing positive, and P(T) is the probability of testing positive given that the individual has hepatitis.

We must apply the law of total probability to determine P(T):

P(T) is equal to P(T | H)* P(H) plus P(T | not H)* P. (not H)

P(T | not H) is the complement of P(H), and P(not H) is the probability of testing positive if the person does not have hepatitis (0.05). (i.e., the probability of not having hepatitis, which is 0.2).

Now that the values have been inputted, we can calculate:

P(T) = (0.94 * 0.8) + (0.05 * 0.2) = 0.752 P(H | T) = (0.94 * 0.8) / 0.752 = 0.994

Although there is a strong likelihood that this is the case, it's crucial to remember that no medical test is error-free, and false positives and false negatives can still happen.

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If Jenny has 50 square tiles and arranges them in a rectangular array with 4 rows, then she would have a total of 48 tiles, with 2 tiles left over.

If Jenny arranges the tiles in a rectangular array with 4 rows, this means each row will have 50/4 = 12.5 tiles. However, since we cannot have half a tile, we need to round down to the nearest whole number, which is 12.

Therefore, each row will have 12 tiles, and the total number of tiles used will be 4 x 12 = 48. To find out how many tiles are left over, we need to subtract the total number of tiles used from the original number of tiles: 50 - 48 = 2. So, there will be 2 tiles left over.

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The piecewise function graphed is given as follows:

A piece-wise function is a function that has different definitions, based on the input x of the function.

For this problem, the intervals are given as follows:

For the first interval, the interval is open due to the open circle, and the quadratic function is a translation up 4 units of y = x², hence^:

y = x² + 4, x < 2.

For the second interval, which is the closed interval, we have a decaying line with slope of -1 and x-intercept of 4, hence:

y = -x + b

0 = -4 + b

b = 4.

Hence:

y = -x + 4, x ≥ 2.

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The Central Angle of each color is:

Red= 100°

Blue= 150°

Green= 50°

Purple = 60°

According to the definition of a central angle in geometry, it is the angle that the arc of a circle occupies in its centre. The angle's arms are formed by the two radii. Knowing the ratio of the curve to the circle using the central angle is helpful.

To draw a pie chart we have to find the central angle.

For Red

= 20/72 x 360

= 100 degree

For Blue

= 30/72 x 360

= 150

For Green

= 10/72 x 360

= 50

For Purple

= 12/ 72 x 360

= 60

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The percentage of temperatures for Shanghai that falls between 46 degrees Fahrenheit and 78 degrees Fahrenheit is A. 50 %.

The interquartile range (IQR) of a box and whisker plot is defined as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the spread of the middle 50% of the data.

On a box plot, the interquartile range (IQR) is represented by the box itself. The box extends from the first quartile (Q1) to the third quartile (Q3) and contains the middle 50% of the data.

This means that for Shanghai, the temperatures of 46 degrees Fahrenheit and 78 degrees Fahrenheit represent the IQR which means that this is 50 % of the temperature.

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The full question is:

The box-and-whisker plots below show the mean monthly temperatures (°F) for Mexico City, Mexico, and Shanghai, China. What percent of the temperatures for Shanghai fall between 46°F and 78°F? *

The measure of data that must represent a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers is the median.

The median is the middle value in a set of data when the values are listed in order from least to greatest (or greatest to least). If there are an odd number of values in the set, the median is the middle value. If there are an even number of values in the set, the median is the average of the two middle values.

If a number in the set is greater than 2 of the numbers and less than 2 of the numbers, then it falls between the first and last quartile of the data set. Therefore, the median, which represents the middle value in the data set, must also fall between the first and last quartile, and thus it must represent a number in the set that is greater than 2 of the numbers and less than 2 of the numbers.

Answer:

The function h(x) is defined as:

h(x) = { x + 4, if x < -3

{ 2x + 5, if x >= -3

To plot this function on the graph, you would plot the points (-4, 0) and (-3, -1) for the first part of the function, and then plot the line with slope 2 passing through the point (-3, 2) for the second part of the function.

Step-by-step explanation:

Given that 17.5 is the bottom end of the box, the lower quartile's value equation (Q1) must fall between 17.5 and 30. Hence, the appropriate response is 17.5

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

25% of the data fall inside the lower quartile (Q1), which is represented by that number. Q1 is situated near the bottom of the box in the box plot.

According to the description, the box's boundary is at 30, and its size ranges from 17.5 to 40.5 on the number line. As a result, the median value of the middle 50% of the data is 30, with a range of 17.5 to 40.5.

There are some data points outside the middle 50% since the lines outside the box finish at 10 and 42.

Given that 17.5 is the bottom end of the box, the lower quartile's value (Q1) must fall between 17.5 and 30. Hence, the appropriate response is

17.5

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Answer:

1.3

Step-by-step explanation:

To find the average number of siblings for the group, we need to calculate the total number of siblings and divide by the total number of children.

Out of the 15 children:

5 are only children, so they have 0 siblings each.

3 have 1 sibling each, so there are 3 * 1 = 3 siblings in total.

4 have 2 siblings each, so there are 4 * 2 = 8 siblings in total.

3 have 3 siblings each, so there are 3 * 3 = 9 siblings in total.

The total number of siblings is 0 + 3 + 8 + 9 = 20.

The average number of siblings for the group is 20/15 = 1.3 (rounded to the nearest tenth).

Therefore, the average number of siblings for this group is 1.3.

Answer:

1.3

Step-by-step explanation:

According to the calculation D(5) = 100, the price of 5 mangoes at the fresh market will be $1.00, or 100 cents.

Your example is an equation because a calculation is any formula with an equals symbol. Due to scientists' adoration of equal signs, equations are commonly used in mathematical expressions. A recipe is a collection of guidelines for producing a specific outcome.

The equation D(5) = 100 means that if you buy 5 mangoes at the fresh market, the cost will be 100 cents, or $1.00.

In general, the function D gives the cost (in cents) of buying M mangoes at the fresh market, so D(M) represents the cost of buying M mangoes. Therefore, D(5) means that we are evaluating the function D when M = 5, or when we buy 5 mangoes. The value of D(5) is 100 cents, or $1.00, which represents the cost of buying 5 mangoes at the fresh market.

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The rug covers 42 feet of space. We calculate the area of a rectangle to determine it. A rug is woven fabric or animal skin used as a floor covering.

It is a shape with four straight sides and four right angles that is not square, especially if the sides next to it are uneven.

When a 2-D enclosed shape has four sides, four corners, and four right angles (90°), it is referred to as a rectangle. When opposing sides of a diagram are equal and parallel, the shape is referred to as a rectangle.

Area of rectangle = L × B

So, Area of rug =  7 × 6

                         = 42 feet

Therefore the required answer is 42 Feet.

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