two sides of a triangle have lengths 23 and 53. the third side has length of n 2 , where n is a positive integer. how many possible values are there for n?

Answers

Answer 1

The positive integer representing possible values for third side length of the triangle as per given measure of two side length are 45.

Two side length of a triangle be 'x' and 'y'

Side length 'x' = 23

Side length 'y' = 53

Third side length be 'n'

Using triangle inequality we have ,

x + y > n

⇒ 23 + 53 > n

⇒ 76 > n ___(1)

And x + n > y

⇒ 23 + n > 53

⇒ n > 53 - 23

⇒ n > 30 ___(2)

We know 'n' is a positive integer .

30 < n < 76

All the positive integer between 30 and 76 are possible values for 'n'.

Possible values are : 75 - 30 = 45

Therefore, there are 45 possible values for the third side of a triangle.

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Related Questions

one friday night, two large groups of people called wildgrove taxi service. the first group requested 1 sedan and 2 minivans, which can seat a total of 13 people. the second group asked for 3 sedans and 2 minivans, which can seat a total of 19 people. how many passengers can each type of taxi seat?

Answers

Each sedan can seat 2 passengers per type of taxi seat and each minivan can seat 2 passengers per type of taxi seat.

Total no. of sedans requested by the first group = 1

Total no. of minivans requested by the first group = 2

Total no. of people that can be seated = 13

Total no. of sedans requested by the second group = 3

Total no. of minivans requested by the second group = 2

Total no. of people that can be seated = 19

Now, the total no. of people for each type of taxi can seat = 13 passengers / 3 taxis.

By rounding up to the nearest value,  4 passengers per taxi.

No. of sedan seats = No. of passengers of a minivan.

By implementing division,

So, the total no. of passengers for each type of taxi can seat = 4/2 = 2 passengers.

Therefore, each sedan can seat 2 passengers per type of taxi and each minivan can seat 2 passengers per type of taxi.

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Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains.


12:24 FAST HELP

1:3

3 over 1

4 to 12

Answers

The statement that represents the ratio of cars to trains would be = 3 over 1. That is option C.

What is a ratio?

A ratio is defined as the expression that represents the comparison between two values.

The collection of vehicle models of Alex include the following:

The number of airplane = 8

The number of trains = 4

The number of cars = 12

Therefore, the ratio of cars to train = 12:4

This is further reduced to a simplest form;

= 12:4 ( divide through by 4)

= 3:1

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Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center at the origin, passing through P(5, −8)

Answers

[tex]x^{2}[/tex] +[tex]y^{2}[/tex] = 801 is the equation of the circle in standard notation.

The equation of a circle with center at the origin (0, 0) can be written as:

, where r is the radius of the circle.

Since the circle passes through the point (5, -8), we can substitute these values into the equation of the circle to find the radius:

[tex](5-0)^{2} (-8-0)^{2}= r^{2}[/tex]

25 + 64 = r^2

[tex]r^{2}[/tex]= 89

r = sqrt(89) = 3 sqrt(89)

So, the equation of the circle with center at the origin and passing through (5, -8) is:

(x - 0)^2 + (y - 0)^2 = (3 sqrt(89))^2

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = 9 * 89

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = 801

This is the equation of the circle in standard notation.

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Please Help me!!! Will mark brainliest

Answers

Answer: c

Step-by-step explanation: this is for kids its easy

I think it is the 2nd and the 4th choice

Which ordered pair is a solution of the linear system shown? Please include & show all your work to solve this problem.
y = 1/2x + 1

y = 3/2x + 4

A. (-3, -1/2)
B. (0,1)
C. (3/2, 7/4)
D. (3, 5/2)

Answers

Answer:

To find the solution of a linear system, we need to find the values of x and y that satisfy both equations. One method to solve a system of linear equations is substitution. We can use the first equation to find the value of y in terms of x, and substitute it into the second equation.

y = 1/2x + 1

y = 3/2x + 4

We substitute the first equation into the second equation:

3/2x + 4 = 1/2x + 1

Now we simplify:

2x = 3

x = 3/2

Finally, we substitute x = 3/2 into either equation to find y:

y = 1/2 * 3/2 + 1 = 2

So, the solution of the system is (3/2, 2). Out of the given options, only (3/2, 7/4) has the same values of x and y.

Therefore, the answer is (C) (3/2, 7/4).

Answer: A

If you plug in -3 into X on both equations you'd get -1/2, thus showing that (-3, -1/2) is a solution to both

Two​ joggers, one averaging 5 mph and one averaging 4 ​mph, start from a designated initial point. The slower jogger arrives at the end of the run 35 minutes after the other jogger. Find the distance of the run.

Answers

The distance of the run is 11.67 miles.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Speed of first jogger = 5 mph

Speed of second jogger = 4 mph

Let d be the distance in miles of the run.

Time taken by first jogger be t hours.

Time taken by second jogger = t + (35 minutes) = t + (7/12) hours

Speed = Distance / Time

5 = d / t and 4 = d / (t + 7/12)

d = 5t and d = 4 (t + 7/12)

5t = 4 (t + 7/12)

5t = 4t + 7/3

t = 7/3 hours

d = 5t = 11.67 miles.

Hence the distance ran by both joggers is 11.67 miles.

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trapezoidal riemann sum overestimate or underestimate

Answers

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

What is trapezoidal rule?

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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Complete question:

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral. True/False

it takes a train going 50 mph approximately ____ to stop safely.

Answers

it takes a train going 50 mph approximately 1 ½ miles to stop safely.

What exactly is speed?

The pace at which an object's location changes in any direction. The distance traveled relative to the time it took to travel that distance is how fast something is moving.

                                 Due to its lack of magnitude and merely having a direction, speed is a scalar number.

What is speed distance formula?

That is speed = distance time. Or, to put it another way, you may calculate the time by dividing the distance traveled by the speed. The third input can be calculated if you know two of the inputs.

                      Using the formula 120 x 2 = 60 mph, we can calculate the speed of a car that drives 120 miles in two hours.

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assuming that no one is born on feb. 29 (leap day), how many people should be selected to guarantee that at least 7 were born on the same day, not considering the year?

Answers

The number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

What are the Worst Case Scenarios?

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. This case can be used to determine the number of turns with would require to make sure the desired outcome is achieved.

The number of people that will ensure at least 7 people have their birthday one single day of a non-leap year (365 days) can be determined by considering that in the number of people picked in each trial, no two people have their birthday on the same day.

According to this process, if we pick 365 people, each one is born on a different day.

We repeat this selection 6 times, and the worst-case scenario is that on each day of the year, there are 6 people who are born on that day. The total number of people selected are

365×6 = 2190.

Now, as we select one more person, the number of people born on a day for one of the days in the year will increase to 7.

Hence, the number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

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Hi can anyone help me?

Answers

The current age of Elsie is six years.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal. Equations are written with an equal sign (=) and can contain variables, numbers, and mathematical operations. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Let Elsie's age be x;

Elsie's age five years ago = x - 5

Elsie's age in eight years time x + 8

From the statement in the question;

x - 5 = 1/2( x + 8)

2x - 10 =  x + 8

2x + x = 8 + 10

3x = 18

x = 6 years

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I need help solving for both number 1 and the exemplar.

Answers

P(59) is  281 billion dollars and it agrees with the function.

What is a growth function?

A growth function is a mathematical function that describes the growth rate of some quantity over time. It can be used to model a wide range of phenomena, such as population growth, economic growth, and the growth of biological organisms.

We can see that the function can be give as;

P(t) = 567 + t(36t^0.6 - 104)

t is the number of years since 1960

At P(59) Which means 59 years after 1960;

P(59) = 567 + 59(36(59)^0.6 - 104)

P(59) = 281

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Each face of a cube has an area of 75xy^2cm2 what is the volume of the cube?

Answers

The volume of the cube would be 5y√x cm^3.

What is cube?

A cube is a square shape, so both sides ( length and width) of a face would be the same.

Supposing that the considered cube has side length (also called edge length) of L units.

Then, its one side's area equals  L^2 sq. units (as each side is a square, so we used formula for area of a square).

We have to Find the length of the side by finding the square root of the area of the face:

Area = 75xy^2

Length = √75xy^2 =  y √5 x 5 x 3 x cm.

Volume is Length x Width X height.

Volume = 5y√x cm^3

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candace just accepted her first job paying a $48,000 salary and is planning to take a $5,000 vacation cruise throughout europe for 2 weeks. she is debating whether to take the trip now and finance it with a promotion from the travel company offering no payments for a year at a monthly periodic rate of 1%, or wait the year and save to pay for the trip. if she takes the trip now she will start her career 2 weeks late. approximately how much would she save by waiting a year and not taking her unpaid time from work to travel?

Answers

Candace would save approximately $2,480 by waiting a year and not taking her unpaid time from work to travel. Thus, Option A holds the truth.

By waiting a year, Candace would be able to save her 2 weeks of salary, which would amount to:

$48,000 / 52 weeks * 2 weeks = $1,615.

And since she would not have to pay the 1% interest for a year on the loan for her trip, she would save:

$5,000 * 1% = $50.

So in total, Candace would save:

$1,615 + $50 = $2,480

Candace would save $2,480 by waiting a year to take her trip and paying for it with her own money.

This question should be provided with answer choices, which are:

A. $2,480B. $634C. $1,557D. $600

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1. How does wind move the sail?
2.

Answers

The solution is, by force wind move the sail.

What is forces acting on a boat?

As the boat is sailing, the wind will be faster than the boat. This fast wind is obstructed by the sail. That is, the fast wind gets slowed down by the sail because the sail pushes the wind backwards which slows down the wind. This will make the wind push the boat forward thereby accelerating the boat.

here, we have,

Gravity and buoyancy are the two key forces that operate on a stationary sailboat. The power of the wind pulls on the sail in order for the boat to move which allows the boat to move. The powers are now unbalanced, which is apparent from the acceleration of the ships.

The boat accelerates until the forward portion of the force from the sails is matched by the drag from the water.

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Reagan needs to rent a pickup truck for one day, so she is comparing different rental companies' rates.
- One rental company charges $55 per day to rent a pickup, with no additional charge per mile driven.
- Another company's charge of $34 per day includes up to 150miles. Beyond that, the renter is charged $0.25 per mile.

If Reagan drives a certain distance, d, the total charges from the two rental companies will be the same amount. Which equation can Reagan use to find d?

Answers

The equation that can be used for Reagan to find d is  d0.25 + 34 = 55.

What is an equation?

In mathematics, equations are mathematical expressions that relate variables using numbers, letters, and symbols to represent a situation.

What are the steps to write an equation?List all the variables, numbers, etc. given in a specific situation.Choose appropriate symbols such as +,x, etc.Relate these factors.

Based on this, the correct equation would be:

d0.25 + 34 = 55

This can be solved as

d 0.25 = 55 -34

d 0.25 = 21

d= 21/0.5

d= 42

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Which of the of the following is a true statement about their kinetic energies?

Answers

True statement about the kinetic energies between Daniel and Robert is that Daniel has more kinetic energy than Robert.

What is the relationship between mass kinetic energy and speed?

Kinetic energy will be greater if the speed and mass are large, otherwise the kinetic energy will be smaller if the speed and mass are small.

At the illustration, who has a faster speed is Daniel.

It is stated that the rowing device and its mass are the same. So a greater speed will also affect the kinetic energy which will also be greater. So it can be conclude that Daniel has more energy kinetic.

Your question is incomplete but most probably your full question was:

Daniel and Robert went rowing. While Robert was rowing at a speed of 8 km/h, Daniel was rowing at a speed of 10 km/h in the opposite direction. If the masses of the boats and their rowers are equal, which of the following is a true statement about their kinetic energies?

Only Robert has kinetic energy because he is rowing in the forward direction.Robert has more kinetic energy than Daniel.Only Daniel has kinetic energy because his energy cancels out Robert’s.Daniel has more kinetic energy than Robert.

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HELP? is this easy or am i ?? HELP

Answers

Answer:

6960

Step-by-step explanation:

help me do. this\ fast

Answers

The equation of the perpendicular line is y = -4/3 x + 12.

The equation of the parallel line is y = 3/4 x + 2.

What are the perpendicular lines?

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

Consider the line y= (3/4)x+6.

To find the equation of the line that is perpendicular to the line y = (3/4)x + 6 and passes through the point (-8, -4), we need to find the slope of the perpendicular line.

Since the slope of a line perpendicular to another line is the negative reciprocal of the original line.

The slope of the line y = (3/4)x + 6 is m = 3/4.

Therefore, the slope of the perpendicular line is -4/3.

Plugging in the values we have, we get:

y - (-4) = -4/3 (x - (-8))

Simplifying, we get:

y + 4 = -4/3 x + 8

y = -4/3 x + 12

So the equation of the perpendicular line is y = -4/3 x + 12.

To find the equation of the line that is parallel to the line y = (3/4)x + 6 and passes through the point (-8, -4), we need to use the same slope, m = 3/4, as the original line.

Using the point-slope form of a line, we get:

y - (-4) = 3/4 (x - (-8))

Simplifying, we get:

y + 4 = 3/4 x + 6

y = 3/4 x + 2

So the equation of the parallel line is y = 3/4 x + 2.

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a set of data is found to have a sample variance of 81. suppose that 16 is added to each of the numbers in the data set. circle the standard deviation of the new data set?

Answers

The required standard deviation of the new data set is 9.

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

According to question:

When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.

However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.

So, the standard deviation of the new data set is 9.

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Help! Picture below

Answers

Answer:

{a, b, c, d, e, f, g}

Step-by-step explanation:

B intersection C = (e) because that is the only variable they both share

Now A intersection (e) is just all different variables together.

So now we have 2 (e's) but they can just be written as one.

PLS HELP FAST


At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Number of sodas sold:

Number of hot dogs sold:

Answers

The vendor sold 172 sodas and 58 hotdogs at the hockey game.

What is a linear equation?

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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graph 5/2x - 1/2
[tex]y = \frac{5}{2} x - \frac{1}{2} [/tex]

Answers

The graph of the function is added as an attachment

How to graph the equation

From the question, we have the following parameters that can be used in our computation:

y = 5/2x - 1/2

The above equation is a linear equation

A linear equation is represented as

y = mx + c

Where

slope = m

y-intercept = c

This means that the slope is 5/2 and the intercept is -1/2

Next, we plot the graph of the equation

See attachment for the graph

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a helpful rule for converting radians to degrees is

Answers

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

PLS HELP MEEEEEEEEEEEEEE PLS

Answers

The value of {r} is 64 and the value θ is 30°.

What are complex numbers?

A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex] . The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.

Given is the complex number -

z = 4√3 - 4i

We can write the value of {r} as -

r = (4√3)² + (- 4)²

r = 16 x 3 + 16

r = 64

θ = tan ⁻¹(4/4√3)

θ = tan ⁻¹(1/√3)

θ = 30°

Therefore, the value of {r} is 64 and the value θ is 30°.

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Choose the equations in which w = 100 makes the equation true.
A. 0.54 ÷ w = 0.0054
B. 4,086 ÷ w = 4.086
C. 362.7 ÷ w = 3.627
D. 5.3 ÷ w = 0.0053
E. 21.9 ÷ w = 0.219

Answers

Answer:

equation A,C and E are true if w=100

is it possible to form a triangle with side lengths 3,3, and 4

Answers

Answer:

Yes

Step-by-step explanation:

is it possible to form a triangle with side lengths 3,3, and 4?

Sum of any two sides of a triangle is greater than the third side.

3 + 3 = 6 (greater then 4)

4 + 3 = 7 (greater then 3)

so, the answer is yes

in the picture your isosceles acute triangle

8 times 10^-3 in numbers

Answers

Answer: 0.0008

Please correct me if I'm wrong.

A person loans his friend $500. They agree to an annual interest rate of 5%. Write (type) an expression for computing the amount owed on the loan, in dollars, after t years if no payments are made.

Answers

Answer: Answer: 475

Because i divided 500 by 5% and it gives u 475.

if the numerator of a fraction is increased by 4, the value of the resulting fraction is 3/4. if the denominator of the original fraction is increased by 2, the value of the resulting fraction is 1/2. find the original fraction

Answers

The original fraction is -5. Note that this is a negative fraction, which may not be meaningful in certain contexts.

Let's call the original fraction "x".

From the first condition, we have:

x + 4 / x's denominator = 3/4

From the second condition, we have:

x / (x's denominator + 2) = 1/2

We can substitute x's denominator in the first equation with (x's denominator + 2) from the second equation:

x + 4 / (x's denominator + 2) = 3/4

Next, we can cross-multiply and solve for x:

4x + 16 = 3x's denominator + 6

x's denominator = 4x + 10

Substituting back into the second equation:

x / (4x + 10) = 1/2

Multiplying both sides by (4x + 10) to isolate x:

2x = 4x + 10

Solving for x:

-2x = 10

x = -5

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please check image regarding rational exponents

Answers

Answer:

the length of each side will b s.

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