How do you find the missing side of a triangle?

Answers

Answer 1

The missing sides of the triangle can be found by applying the Pythagoras Theorem .

What is Pythagoras Theorem ?

The Pythagoras Theorem states that square of  hypotnuse (that is longest side) is equal to sum of the square of perpendicular and base .

that means : [tex]Hypotnuse^{2} = Perpendicular^{2} +Base^{2}[/tex]  ;

let missing side of the Right triangle be hypotnuse ;

So , missing side is written as : [tex]Hypotnuse = \sqrt{Perpendicular^{2} +Base^{2}}[/tex] .

For Example : Let a right triangle has sides lengths of perpendicular = 6 and hypotnuse = 10 .

let , the length of side "base" be unknown.

So ,  in order to find length of side b  (base) , we substitute the  known values into Pythagoras theorem:

[tex]10^{2} =6^{2} +Base^{2}[/tex] ;

[tex]Base = 100-36[/tex] ;

So , missing side "base" is = 8 ;

Therefore , the missing side can be found by using  the Pythagoras Theorem .

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Related Questions

Researchers were interested in the season records of the Major League baseball teams, including the Los Angeles Dodgers, and the Cincinnati Reds Baseball team. Researchers collected the data at the end of the season. This sample data collection method is considered to be:

Answers

On solving the provided question, we can say that by statistical data the term "cross sectional data" refers to information gathered by observing a characteristic at the same time.

what are statistical data?

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts

data across time numbers about the population

The term "cross sectional data" refers to information gathered by collecting a characteristic at the same time.

Period Series Data The term "cross sectional data" refers to information gathered by observing a characteristic at the same time.

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What is the product of 2p 7 3p2 4p 3?

Answers

The product of 2p 7 3p2 4p 3 is 756p7.

What is product in math?

Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.

This can be calculated by multiplying the terms together.

First, multiply the terms in each parenthesis.

2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.

Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.

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A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.Which of the following is the best interpretation of the probability 0.20 ?

Answers

"For all finance workers, 20% will have a tattoo" is the best interpretation of the probability 0.20.

What is probability?

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

This can be calculated by taking the number of finance workers with tattoos and dividing it by the total number of finance workers, and then multiplying by 100 to express the result as a percentage.

(Number of finance workers with tattoos / Total number of finance workers) x 100 = 20%.

Here,

"20% of all finance workers will have a tattoo," is the best explanation of the probability 0.20.

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Complete question: A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.

Which of the following is the best interpretation of the probability 0.20 ?

A- For all workers in the United States, 20% will work in finance.

B- For all finance workers, 20% will have a tattoo.

C- For all people with tattoos, 20% will work in finance.

D- For a specific group of 5 finance workers, 1 will have a tattoo.

E- For a specific group of 5 people with a tattoo, 1 will work in finance.

How do you make a truth table?

Answers

If we want to create a truth table , for say expression  (P ∨ Q)∧(~P⇒Q) , then we will create different columns having the column head as , P , Q , ~P , P ∨ Q,~P⇒Q and  (P ∨ Q)∧(~P⇒Q) and then perform the logical operation on them.

Truth table is a medium  used to perform logical operations on expressions. These operations consists of Boolean algebra or Boolean functions expressions.

On performing these logical operation we get to know whether the propositional expression is correct or incorrect, based on the input values. This  entire process is based on Boolean algebra and the table is made up of rows and columns for one or more input values.

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18 points ! The shape of Gretchen's data can be described as 1) skewed left 2) skewed right 3) symmetrical.



Because of this, the 1) mean 2) median would be the best measure of center for this data set. The actual value for the best measure of center is 1) 7, 2) 9, 3) 9. 1, 4) 9. 6​

Answers

The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

What is  skewed left?

A distribution that is left-skewing has a lengthy left tail.

Distributions that are negatively skewed are also known as left-skewed distributions.

This is due to the number line having a significant negative tail.

Additionally, the peak is to the left of the mean.

The right tail of a right-skewed distribution is lengthy.

It's a widespread misperception that "peakness" is defined by the distribution's peak.

To put it another way, a peak that leans left indicates a left-skewed distribution.

Hence, The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

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What is the median of the following 9 numbers: 23, 15, 32, 27, 19, 11, 30, 19, 22?

Answers

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

What is a median?

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The median for odd data will be

Median = [(n + 1) / 2]th

The median for even data will be

Median = {[n / 2 + (n + 2)/ 2] / 2}th

The data is given below.

23, 15, 32, 27, 19, 11, 30, 19, 22

Arrange the data in ascending order. Then we have

11, 15, 19, 19, 22, 23, 27, 30, 32

Then the median of the following 9 numbers is calculated as,

Median = [(9 + 1) / 2]th

Median = (10 / 2)th

Median = 5th

Median = 22

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

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A line has a slope of 1/5 and passes through the point (3,10). What is its equation in point-slope form? Use the specified point-slope form.

Answers

The equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that a line has a slope of 1/5 and passes through the point (3, 10)

We can write the slope of the line as -

m = 1/5

For the point (3, 10), we can write -

y = (1/5)x + c

10 = (1/5) x 3 + c

c = 10 - 3/5

c =  47/5

Therefore, the equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).

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What are the 3 types of translation?

Answers

When the state of an object is changed from one to another it is known as translation in mathematics and they are of three types.

The three types of translation in math are

horizontal translationvertical translationcompression translation

When the object moves either from left to right or from right to left it is known as vertical translation.

The movement in up or downward direction of the graph is known as  horizontal translation.

The domain of the function remains same in both the cases.

A translation in which the size of the object decreases or is compressed is known as the compression translation.

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What is a 2 step problem?

Answers

A 2-step problem is a mathematical problem that can be solved using two steps or operations. These types of problems are typically simple and can be solved using basic arithmetic or algebraic concepts.

For example, a 2-step problem could involve solving for one variable in one equation and then substituting that value into another equation to find the value of a second variable.

For example:

2x+3y=10 and 3x-2y=5

Here, first step would be to solve for x in the first equation by isolating x and in the second step we can substitute that value of x in the second equation to solve for y.

It can also refer to a problem that can be solved in two steps by breaking the problem down into simpler parts. For example, a 2-step problem in geometry could involve finding the area of a shape by first finding the area of one part of the shape and then adding that to the area of another part of the shape.

In general, 2-step problems are not complex and can be solved easily by breaking down the problem into simpler parts and solving each part separately.

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Donna reads 56 chapters of a book in 7 hours. What is her rate in chapters per hour?

Answers

Answer:

To find what her rate for how many chapters she reads per hour, you want to find out what times 7 gives you 56, or you can simply divide:

56/7 = 8

Donna reads 8 pages per hour.

Step-by-step explanation:

Hope it helps! =D

7•e^.1t =47 express the solution as a logarithmic in base e

Answers

Answer:

The value of t is 19.04

Step-by-step explanation:

[tex]7e^{0.1t} = 47\\[/tex]

[tex]e^{0.1t} = \frac{47}{7}[/tex]

take log both sides :

[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]

Please help!
ponential functions are in the form y = a(b)'.
What values of b make it an exponential growth function?
What values of make b it an exponential decay function?

Answers

b>1 or (1,infinity)
0

please assist with helping in the image below!!

Answers

The correct answer is b

Solve for x in this triangle. Round your answer to the nearest tenth. 37⁰ X 14​

Answers

Answer:

x ≈ 18.6

Step-by-step explanation:

using the tangent ratio in the right triangle

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )

x × tan37° = 14 ( divide both sides by tan37° )

x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )

Please hurry, it's due in two days ​

Answers

Answer:

C (3, -2) is in the Fourth Quadrant.

The equation of the line is Y=2

The Line x=-1 would be a straight vertical line on the point x=-1.

Step-by-step explanation:

I have attached three pictures, one of all the quadrants labeled for you to help in the future, one of a visual of y=2 with the points labeled, and one of a visual of the line x = -1.

how do i solve -2.4>b/-2.5 step by step

Answers

Step-by-step explanation:

hope this helps....see above for answer

Anybody know the answer to this ?

Answers

On solving the provided question, we can say that - the data from graphs represents a curvilinear and straight graph.

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

Here,

in graphs,

as per data we can say that there two types

one is curvilinear and other is straight graph.

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What's the fewest number of people in a room where it's probable (>50%) that a pair of them share a birthday

Answers

There is a probable (>50%) that two people in a room with 23 people will share the same birthday.

What is probability?

Probable means likely to occur or prove true, or having more evidence for than against, or evidence that inclines the mind to belief but leaves some room for doubt, or affording ground for belief.

Even while it may appear odd that only 23 people are needed to achieve a 50% likelihood of a shared birthdate, this conclusion is made more logical by keeping in mind that birthday comparisons will be done between all potential pairs of people.

There is a 50% chance that two people in a room with 23 people will share the same birthday. Though it may seem strange, it is mathematically accurate.

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What is the slope of the line that passes through the points (1, 6) and (13, 2)? Write your answer in simplest form.

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{13}-\underset{x_1}{1}}} \implies \cfrac{ -4 }{ 12 } \implies {\Large \begin{array}{llll} - \cfrac{1 }{ 3 } \end{array}}[/tex]

Arjun is hiking from a mountain lodge to a nearby summit. The probability that he will take the longest trail is 59. The odds against Arjun taking the longest trail are _[blank]_.

What odds best complete the sentence?

Enter your answer as “m:n{}^{\prime\prime} where m and n are the smallest integers possible, like this: 3:2

Answers

The odds against Arjun taking the longest trail are 4 : 9 .

How to find the probability ?

The probability that when Arjun is hiking from the mountain lodge to the nearby summit, he takes the longest trail, is 5 / 9.

This means that the odds that Arjun will not take the longest trail, or rather, the odds against him taking the longest trail, will be the difference between 1 and the probability that he takes the longest trail:

= 1 - 5 / 9

= 4 / 9

When given as a ratio, this would be:

=  4 : 9

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It takes 126 cubes that have edge lengths of 1/3 ft to completely fill a plastic bin. What is the area of the base of the bin?​

Answers

The area of the base of the bin is 9 ft^2.

The given information states that the bin is filled with 126 cubes that have edge lengths of 1/3 ft. To determine the area of the base of the bin, we must first determine the total volume of the bin.

Since each cube has a volume of 1/27 ft^3, the total volume of the bin is 126/27 ft^3. Since the volume of a rectangular prism is equal to the length times the width times the height, we can solve for the area of the base of the bin by rearranging the formula to A = V/h, where A is the area, V is the volume, and h is the height.

We can substitute the values given to obtain A = 126/27 ft^3/h. Since the height of the bin is equal to the edge length of the cubes, which is 1/3 ft, we can substitute that value into the equation to get A = 126/27 ft^3/1/3 ft = 9 ft^2. Therefore, the area of the base of the bin is 9 ft^2.

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find the number that makes the ratio equivalent to 1:8

Answers

Answer:

2:16

Step-by-step explanation:

maybe i don't know im not smart but that is the ratio equalivent i guess i have to make this 20 words long soooo

Answer:

To find the number that makes the ratio equivalent to 1:8, we need to set up the ratio as a fraction and solve for the missing value.

The ratio 1:8 can be written as the fraction 1/8. In this case, the missing value is the numerator (1) and the known value is the denominator (8). To solve for the missing value, we can multiply both the numerator and denominator by the same value.

For example, if we multiply both the numerator and denominator by 2, we have:

1/8 = (12)/(82) = 2/16

If we multiply both the numerator and denominator by 4, we have:

1/8 = (14)/(84) = 4/32

If we multiply both the numerator and denominator by 5, we have:

1/8 = (15)/(85) = 5/40

In each of these cases, the ratio is still equivalent to 1:8, but the missing value (the numerator) is different. In general, we can multiply the numerator and denominator by any value to find the missing number that makes the ratio equivalent to 1:8.

For example, if we multiply both the numerator and denominator by 10, we have:

1/8 = (110)/(810) = 10/80

In this case, the missing value (the numerator) is 10, which makes the ratio equivalent to 1:8.

Step-by-step explanation:

a wall is measured as 5m to the nearest metre find the actual length and the percentage error

Answers

Actual length is 5.5m and percentage error is 20%.We can find by using percentage error formula.

What do you mean by percentage error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words the percent error is the relative error multiplied by 100.

How do we calculate percentage error?

Subtract the actual value from the estimated value.And then divide the results with the real value. Multiply the results by 100 to find the total percentage.The formula represent it as a percentage of the exact value.Percent error = |Approximate value – Exact Value|/Exact value * 100.

Now we find

wall is measured 5m to the nearest so

approximate value= 4.5

actual value     =5.5

putting value in the formula

Percentage error  = 5.5- 4.5/5 *100

                              = 20%

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The sum of the interior angles of a polygon is 20 x 180.

Work out the number of sides of the polygon.

sides

Answers

So the polygon has 22 sides.

A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges. The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result. A triangle with three sides is an example of a polygon.

The sum of the interior angles of a polygon can be calculated using the formula:

(n-2) * 180 = sum of the interior angles

Where n is the number of sides of the polygon.

We know that the sum of the interior angles is 20*180, so we can substitute this into the formula:

(n-2) * 180 = 20 * 180

Solving for n, we get:

n = (20 * 180) / 180 + 2

n = 20 + 2

n = 22

So the polygon has 22 sides.

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he distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.b.The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours..c.The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.d.The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

Answers

The option a "The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance." is correct.

In the given question, we have to write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

As we know that the distance formula is the multiplication of of speed and time.

So, the distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

So the option a is correct.

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The complete question is:

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hours while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

a. The distance traveled is three times the number of hours I have hiked. The independent variable is hours. The dependent variable is distance.

b. The distance traveled is three times the number of hours I have hiked. The independent variable is distance. The dependent variable is hours.

c. The hours I have hiked is three times the distance. The independent variable is distance. The dependent variable is hours.

d. The hours I have hiked is three times the distance. The independent variable is hours. The dependent variable is distance.

Find the value of each expression.
a. 1/4 • (-12)
b. -1/3 • 39
c. (-4/5) • (-75)
d. -2/5 • (-3/4)
e. 8/3• -42

Answers

By using simple arithmetic and using calculator we get:

a. 1/4 • (-12) = (-3)

b. -1/3 • 39 = -13

c. (-4/5) • (-75) = 60

d. -2/5 • (-3/4) = 3/10 = 0.3

e. 8/3• -42 = -56

What is arithmetic?

Arithmetic is a branch of mathematics that deals with the manipulation of numbers and their properties. It is the study of numbers and the operations that can be performed on them, such as addition, subtraction, multiplication, and division. Arithmetic also includes concepts such as fractions, decimals, and percentages. The study of arithmetic is fundamental to many other branches of mathematics, including algebra, geometry, and calculus, as well as many practical fields like finance, engineering, and computer science.

What is calculator?

A calculator is a device that performs mathematical calculations. It can be a handheld device or a software program on a computer or mobile device. Calculators typically have buttons or keys for performing basic arithmetic operations, such as addition, subtraction, multiplication, and division, as well as more advanced functions like trigonometry and logarithms. Some calculators also have the ability to store and recall numbers, perform conversions between units of measurement, and perform other specialized functions.

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Three workers are digging a hole. They work one by one, and every single of them works exactly
the amount of time it would have taken the other two to complete the digging of the entire hole.
They finish digging the hole by taking one turn each. How many times faster would they have
digged the hole if they worked together?
(A) 2.5 (B) 3 (C) 3.5 (D) 4 (E) 5

Answers

The work would be finished 3 times faster if they had been doing the work at the same time. The correct option is B.

Rate of doing work

Assumption;

Provided each one of the workers works for an hour which is equivalent to the time it takes to finish the hole.

In essence, the total time required to finish the ditch by 2 workers is; 2 hours.

Hence, for 3 workers working simultaneously, the time required is

1hour  = 60 minutes

However, since they took 1 hour turns on the job, it follows that; The total time used is;

Total time = 3 × 1hr = 3 hours = 180 hours

Hence they could have finished the work in;

R = 180/60 times faster =3 times faster.

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What type of lines will be presented by the system of equations 2x 3y 6 and 4x 6y 11?

Answers

The system of equations 2x+3y=6 and 4x+6y=11 will present two lines in the coordinate plane.

The linear equation is a mathematical expression that describes a straight line in a coordinate plane. It is of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis). Linear equations can also be expressed in other forms, such as ax + by = c, where a, b, and c are constants.

Since each equation represents a line, and the system has two equations, it will have two lines. The lines will be in slope-intercept form (y = mx + b), with different slopes and y-intercepts. The lines will intersect at one point, which is the solution to the system of equations.

The system of equation will present the unique straight line as the solution in two-dimensional coordinate plane.

Two lines in the coordinate plane will present the system of equations 2x+3y=6 and 4x+6y=11 .

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Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

Answers

The answer is C because when u distribute it mean multiply so it will be 3x+12

Answer: x=8

Step-by-step explanation:

3(x+4) = 36

3x+12= 36

3x-12= -12

3x = 24

— —

3 3

X=8

Identify a method of developing systems that is well-suited to traditional project management tools and technique

Answers

The waterfall model has equivalent flexibility to other approaches. suitable for conventional project management tools and methods.

The waterfall model of the software development life cycle is the greatest technique for creating systems.

This includes the following elements:

1. The requirements phase, which takes into account the needs needed to build the product

2. The product's design is created

3. The programmers who wrote the code to put the product into action built the product.

4. The product is examined and all flaws are fixed to ensure that it responds correctly to inputs.

5. The systems are periodically maintained to ensure continued operation and proper output

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