Which set of numbers could be the side lengths that will form a triangle?

Which Set Of Numbers Could Be The Side Lengths That Will Form A Triangle?

Answers

Answer 1

All u have to do is use the Traingle Inequality theorem, which states that the sum of two sides lenghts of a triangle is always greater than the third side. if this is true for all three combinations of added side lengths then you will have a triangle

Hope this helps :>

Answer 2

Answer:

3, 5, 7

Step-by-step explanation:

given 3 sides, for a triangle to be formed, then the sum of any 2 sides must be greater than the third side.

4 , 4 , 8

4 + 4 = 8 , not greater than 8, so does not form a triangle

1 , 2 , 3

1 + 2 = 3 , not greater than 3, so does not form a triangle

3 , 9 , 14

3 + 9 = 12 < 14 , so does not form a triangle

3 , 5 , 7

3 + 5 = 8 > 7

3 + 7 = 10 > 5

5 + 7 = 12 > 3

condition is satisfied , so will form a triangle


Related Questions

In AUVW, UV ~ WU and m/W = 38°. Find mLU.

Answers

It would be 71 degrees

Need help with question number 3

Answers

Using what we know about lines and vertical angles we will see that:

m∠3 = 35°.

How to find the measure of angle 3?

Remember that when two lines intercept and 4 angles are formed, the vertical angles (these ones connected only by the vertex) have the same measure.

For example, 2 and 5 are vertical angles in this case.

Angles 6 and 3 also are vertical angles, and if both white lines are parallel, then the measures of angle 1 and 6 will be equal (because both are on the same quadrant) then:

m∠6 = 35°

Then the measure of angle 3 is:

m∠3 = 35°.

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Write the expression as a single power of b.

open parentheses b to the power of begin display style 3 over 4 end style end exponent over b to the power of begin display style 1 fourth end style end exponent close parentheses to the power of 1 half end exponent

Answers

The simplified form of the given expression is x raise to the power of one-thirty.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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How do i solve for the value of s

Answers

By setting the two values equal to each other.
This is because they are VERTICAL ANGLES, what makes them congruent (same measure)

6s - 7 = 5s + 5
-5s
s - 7 = 5
+7
s = 12

Answer: s = 12

Have a good day ^^

Solve 2 4/5x=−1 1/4 . Write your answer as a fraction in simplest form.

Answers

Answer: -56/55

Step-by-step explanation:

2 4/5x = -11/4

14/5x = -11/4

Cross multiply:

-55x = 14 * 4 = 56

x = -56/55

2. Write an equation to represent f(e)










Absolute Value Functions

Answers

The absolute value function for f(e) is given as follows:

f(e) = |e|

The piece-wise definition of the function is given as follows:

f(e) = e, e >= 0.f(e) = -e, e < 0.

What is the absolute value of a number?

The absolute value of a number is the number without the signal, representing the difference between the number and zero.

This means that the elevation function gives just elevation, without considering if the elevation is positive or negative, and thus the function is defined as follows:

f(e) = |e|

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find the value of x and y

Answers

The measure of the exterior angle x of the polygon is equal to 76°

How to evaluate for the exterior angle x

The exterior angles of a polygon added together is equal to 360° so;

x + x + 60° + 64° + 36° + 48° = 360°

2x + 208° = 360°

2x = 360° - 208° {subtract 208° from both sides}

2x = 152°

x = 152°/2 {divide through by 2}

x = 76°

Therefore, the measure of the exterior angle x of the polygon is equal to 76°

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A new computer will load 17% faster than the old computer it took the old computer 22 seconds to load one graphic and nine seconds to load a paragraph of text if you're loading a document with two graphics and one paragraph how long will it take the new computer to load?

Answers

The new computer will take to loading a document with 2 graphics and 1 paragraph is 43.99 seconds.

How to calculate time taken using percentage?

Time taken can be calculated using percentages by determining the percentage of time that has already passed, then calculating the remaining time based on the percentage of time remaining.

For example, if you are asked to calculate the time taken for a project that is 50% complete, you would first need to determine the total length of the project. Let's say it is a project with a timeline of two months.

Next, you would need to calculate the percentage of time that has already passed. In this case, since the project is 50% complete, 50% of the two months has already passed. This means that one month has passed.

Finally, you can determine the time taken by subtracting the time that has already passed from the total length of the project. In this case, the time taken would be one month, since one month has already passed and there is one month remaining until the project is completed.

The old computer would load 2 graphs and one paragraph in:

22 × 2 seconds + 9 seconds = 53 seconds

The new computer is 17% faster so:

53 - (17% × 53) = 43.99 seconds

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what is theregular price ,r,of a museum ticket before the discount? enter the amount in the table

Answers

Answer:

60

Step-by-step explanation:

54/90% =60

what is the 35th term for 9, 3, 1, 1/3

Answers

Answer:

111

Please mark brainliest

Step-by-step explanation:

Circle E has a radius of 5.3 meters. FG is a chord and HE is a perpendicular bisector of FG. If FG = 6.5 meters, calculate the distance of EH.

Answers

The distance of EH is 4.1866 meters.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

From the question, we have,

Radius of the circle = 5.3 meters

EF = EI = 5.3 meters

FG = 6.5 meters

Also, we have, HE is a perpendicular bisector of FG.

FH = HG = 6.5 / 2 = 3.25

We have to calculate EH.

We have, FH is the projection of EF in the vertical axis.

FH = EF sin (θ), where θ is the angle FEH.

3.25 = 5.3 sin (θ)

sin (θ) = 0.6132

θ = sin⁻¹ (0.6132)

θ = 37.82°

We have,  EH is the projection of EF into the horizontal axis.

EH = EF cos (θ)

     = 5.3 cos (37.82°)

     = 5.3 × 0.7899

     = 4.1866 meters

Hence the length of EH is 4.1866 meters.

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Suppose b is a constant and that f(x) is a function defined when x = b. Complete the following sentences.
1. If f(b) is large, then 1/f(b) is __
2. If f(b) is small, then 1/f(b) is __
3. If f(b) = 0 then
1/f(b) is __
4. if f(b) is positive, then
1/f(b) is __
5. If f(b) is negative, then 1/f(b) is __

Answers

(i) 0

(ii) inifinity(very large value)

(iii) undefined

(iv) positive value

(v) negative value

What is limiting value of a function?

A limiting value of a function is a value that the function approaches as the input (or independent variable) approaches a certain value. It is also called the function's limit at that point. This concept is used in calculus to understand the behavior of functions and their derivatives.

so in all the cases we have to find the limiting value of f(x)

1. if the value of f(b) is very large the 1/f(b) is very small.

2. if f(b) is small then the value of 1/f(b) is very large

3. if f(b) is 0 then 1/f(b) is not defined.

4. if f(b) is positive then its reciprocal is also positive.

5. if f(b) is negative then its reciprocal is also negative.

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(I) 0

(ii) The infinite (very large value)

IIII, undefinable

(iv) A favorable value

(v) negative value

What does a function's limiting value mean?

A function's limiting value is a point that the function approaches as the input (or independent variable) gets closer to a particular value. At that time, it is also known as the function's limit. Calculus makes use of this idea to comprehend how functions behave and how their derivatives work.

Therefore, we must always determine the limiting value of f. (x)

1. The value of 1/f(b) is very small if the value of f(b) is very large.

2. The value of 1/f(b) is very large if f(b) is tiny.

3. 1/f(b) is not defined if f(b) is 0.

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anyone help this is part 1

Answers

The surface area of a triangular prism can be calculated by adding the area of the triangular base to the area of the three rectangular lateral faces.

First, we'll find the area of the triangular base. Since the triangle is isosceles and has a right angle, we know that the base is a 19 in. by 19 in. square. The area of this square is 19 in. x 19 in. = 361 in^2

Next, we'll find the area of each lateral face. Since the triangular prism is 42 in. long and the base is 19 in. wide, we know that the height of each lateral face is 42 in. The area of each lateral face is 42 in. x 19 in. = 798 in^2

To find the total surface area of the triangular prism, we add the area of the base to the area of the three lateral faces:

Surface area = 361 in^2 + 3(798 in^2) = 361 in^2 + 2394 in^2 = 2755 in^2

To find the surface area of resulting prism, We just need to find the area of the resulting rectangle after gluing the lateral faces with the 26.9-in. sides together.

Surface area of resulting prism = 42 in x 26.9 in = 1138 in^2

So, the surface area of each triangular prism is 2755 square inches, and the surface area of the resulting prism after gluing the lateral faces with the 26.9-in. sides together is 1138 square inches.

A situation in which solutions exist so that both parties are trying to find a mutually acceptable solution to a complex conflict is known as which of the following?
A) mutual gains
B) win-lose
C) zero-sum
D) win-win
E) None of the above.

Answers

D) Win-win  is a situation in which both parties come away with a positive outcome.

Win-win is a situation in which both parties come away with a positive outcome. It is the ideal solution to a complex conflict, as it ensures that both parties benefit in some way. Win-win solutions involve a collaborative approach to problem solving, where each party works together to find a mutually beneficial solution. This can involve compromise, trade-offs, and creative negotiation.

For example, two companies may be in competition for the same contract. Rather than viewing each other as adversaries, they could work together to create a win-win solution that meets their respective needs. This could involve a collaborative approach to the project, or a mutually beneficial pricing arrangement.

Win-win solutions also require an understanding of each party's needs, interests, and values. It is important to identify the underlying interests that each party has, and use them to create a solution that meets everyone's needs. By taking the time to understand each other's perspectives, it is possible to create a solution that is beneficial to both parties. In this way, win-win solutions provide an opportunity to develop a constructive relationship that can be beneficial in the long term.

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Manny drives 2 times the hours that Tabria does. Manny and Tabria drive for a total of 9 hours. How
long did each person drive?

Answers

Answer:

4.5

Step-by-step explanation:

4.5 times 2 = 9

9 divided by 2 =4.5

Find the quartile
49, 27,10,76, 91, 86, 40, 38, 15, 33, 12, 87, 60, 9, 80

Answers

Answer:

uh 6

Step-by-step explanation:

10??????????????????????????6????

The interquartile range?

I believe it is 65.

One number is six less than three times another number. If the sum of the numbers is 38, find the numbers.

Answers

Answer: Let's call the first number "x" and the second number "y".

From the problem statement, we know that:

x = 3y - 6 (because one number is six less than three times the other number)

x + y = 38 (because the sum of the numbers is 38)

We can substitute the first equation into the second equation to solve for one of the variables:

3y - 6 + y = 38

4y - 6 = 38

4y = 44

y = 11

Now we can substitute this value of y back into the first equation to find the value of x:

x = 3(11) - 6

x = 29

So the two numbers are:

x = 29

y = 11

Step-by-step explanation:

Lisa is traveling to Greece this summer and needs to exchange 500 US Dollars to Euros.

How many Euros will Lisa receive with the following exchange rate?

1 USD = 0.95 Euros

Answers

Answer: Lisa will receive 475 Euros.

Step-by-step explanation: 500x0.95 = 475.

Answer:

Step-by-step explanation:

2

How many cords of wood could you fit in a room that is 4 yards long 4 yards wide and two yards High answer to the nearest hundredth

Answers

Answer: To find the number of cords of wood that can fit in a room, we need to find the volume of the room and then divide that by the volume of a cord of wood.

A cord of wood is a unit of measurement that is equal to 128 cubic feet.

The volume of the room can be found by multiplying the length by the width by the height:

V = 4 x 4 x 2 = 32 cubic yards

To convert cubic yards to cubic feet, we can use the conversion factor of 1 cubic yard = 27 cubic feet.

So, the volume of the room in cubic feet is:

V = 32 x 27 = 864 cubic feet

To find the number of cords of wood that can fit in the room, we divide the volume of the room by the volume of a cord of wood:

cords = 864 / 128

cords ≈ 6.75

So, you could fit approximately 6.75 cords of wood in a room that is 4 yards long, 4 yards wide, and 2 yards high, to the nearest hundredth.

Step-by-step explanation:

simplify
(-4x^2)(3x^5)/2x^-4

Answers

The expression after simplification is -6x¹¹.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is (-4x²) (3x⁵) / (2x⁻⁴).

We have the rule for exponents,

xᵃ . xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

(-4x²) (3x⁵) = (-4 × 3) x²⁺⁵ = -12x⁷

-12x⁷ / 2x⁻⁴ = (-12 / 2) x⁷⁻⁻⁴

                   = -6x¹¹

Hence the simplification of the expression (-4x²) (3x⁵) / (2x⁻⁴) is -6x¹¹.

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Please help to answer this qns.. 6th grade algebra

Answers

The linear function that gives the number of matchsticks required to make the nth pattern is given as follows:

M(n) = 15n.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.

When a linear function represents a proportional relationship, it means that the intercept is of zero.

As for each pattern the number of sticks is increased by 15, the slope is of 15 and the equation is given as follows:

M(n) = 15n.

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There are two different pathways around a circular lake. The circular pathway is inscribed inside of a square pathway. The circular pathway has an area of 768 square feet. How far would a person walk if she walked around the square pathway? Use 3 for pi.

Answers

The person walks 128 feet if she walked around the square pathway.

What are the 2D shapes?

The plane forms that can be sketched on a flat (or plane) surface or a piece of paper are known as 2D shapes. Every 2D shape has different attributes, like area and perimeter. Some of the two-dimensional objects have sides and corners, while others have curved edges.

Given two pathways,

circular and square, and the circular pathway is inscribed inside of a square pathway,

area of circular pathway = 768 square feet

area of circle = π/4*d²

where d is the diameter

768 = π/4*d²

768*4 = πd² (π = 3)

3072/3 = d²

d = √1024

d = 32 feet

since the circle is inscribed in a square the length of a side of square is equal to the diameter of the circle,

d = a = 32 feet

to find the perimeter of the square path,

perimeter of square = 4a

perimeter of square = 4*32

perimeter of square = 128 feet

Hence the person has to cover 128 feet if she walked around the square pathway.

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Find x, y, and z. Express in simplest radical form.
Please help

Answers

The values of the variables namely x, y and z of the given triangle are;

x = 12, y = 9√13, z = 6√13

How to use Pythagoras Theorem?

There are three sides of a right angle triangle namely; Opposite, Adjacent and Hypotenuse.

The formula for Pythagoras theorem is;

Hypotenuse² = Opposite² + Adjacent²

Thus;

y² = 27² + 18²

y = √(27² + 18²)

y = √1053

y = 9√13

Using concept of similar triangles, we can say that;

x/18 = 18/27

x = (18 * 18)/27

x = 12

Using Pythagoras theorem again;

z = √(12² + 18²)

z = √468

z = 6√13

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Solve the system by substitution {2x−3y=12 −12y+8x=48


If there is one solution, type the answer as an ordered pair. If there is no solution, type ∅. If there are infinitely many solutions, type ∞.

Answers

The solution to the system is (7.5, 1)

How to determine the solution to the system

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

2x−3y=12

−12y+8x=48

divide the first equation by 2

So, we have

x - 1.5y = 6

This gives

x = 6y + 1.5

By substitution, the second equation becomes

-12y + 8 (6y + 1.5) = 48

So, we have

-12y + 48y + 12 = 48

Evaluate

36y = 36

Divide by 36

y = 1

So, we have

x = 6 + 1.5

x = 7.5

Hence, the solution is (7.5, 1)

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HELP!
which is the graph of g(x) = [x+3]?​

Answers

Answer:

Step-by-step explanation:

O gráfico  de g(x) = [x+3] é uma Reta que passarum pelo pno (3,0) e tem inclinação 1.

I DONT GET
can u help me

Answers

Answer:

the rate is 30:5

the unit rate is 6:1

Step-by-step explanation:

GIVE ME BRAINLY

CLICK THE CROWN BY MY ANWSER!

If m and mzABD = (4x + 14)°. Find the
measurements of CBD and

Answers

The measure of the angle ABC and angle CBD are 48 and 42 degrees

How to determine the measure of the angles

As a general rule:

Complementary angles add up to 90 degrees

This means that

we get: ∡ABC + ∡CBD = 90

3x + 6 + 4x - 14 = 90 ------ Substituting 3x + 6 and 4x - 14 for ∡s ABC and CBD

Evaluate the like terms

7x = 98

Divide both sides by 7

x = 14

So, we have

Measure of ∡ABC: 3 * 14 + 6 = 48

Measure of ∡CBD:  4 * 14 - 14 = 42

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Complete question

Find the measure of each angle

angle ABC and angle CBD are complementary angles, m angle ABC=(3x+6)degrees, and m angle CBD=(4x-14)degrees

Explain weather there is a possible transformation of f in the form g(x) =f(x)+k, where k is a constant for which the graph y=g(x) will have no x-intercepts. Enter your answer and your justification in the space provided.

Answers

Answer:

Yes, a transformation of f in the form g(x) =f(x)+k can have no x-intercepts. This will occur if the constant k is added to the y-value of every point on the f(x) graph, resulting in the chart of g(x) being shifted upward by k units. If the original diagram of f(x) had no x-intercepts, then the graph of g(x) would also have no x-intercepts because the x-coordinate of each point on the graph of f(x) is unchanged by the transformation.

Step-by-step explanation:

graph the equation y=2/3x-1 iready quiz graph linear equations

Answers

Answer: To graph the equation y = 2/3x - 1, we can start by finding some points that satisfy the equation.

We can pick any value for x and substitute it into the equation to find the corresponding y-value.

For example:

When x = 0, y = (2/3)(0) - 1 = -1

When x = 1, y = (2/3)(1) - 1 = -1/3

When x = 2, y = (2/3)(2) - 1 = 1/3

When x = 3, y = (2/3)(3) - 1 = 2/3

We can plot these points on a coordinate plane and then connect them with a straight line to graph the equation.

The graph will be a line that passes through the points (0, -1), (1, -1/3), (2, 1/3), and (3, 2/3).

Step-by-step explanation:

What is the perimeter of triangle “QTS”

Answers

Answer: 15 + x, or x + 15

Step-by-step explanation:

The perimeter of triangle QTS is represented as line segments QT + TS + QS.  This means:

6 + 6 + ((3x - 1) + (4 - 2x))

You can first simplify 6 + 6, 6 + 6 = 12

12 + ((3x - 1) + (4 - 2x))

Next, focus on ((3x - 1) + (4 - 2x))

3x + (-1) + 4 + (-2x), addition is commutative, so use addition
3x + (-2x) + 4 + (-1)
(3x - 2x) + (4 - 1)
x + (4 - 1)
x + 3

The equation is now:

12 + x + 3

You can simplify this more by adding 12 + 3

15 + x

The answer is 15 + x or x + 15 because that is as simplified as the equation can be.

I hope this helps!

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