The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of the triangle are 13 feet and 23 feet. Find the possible lengths of the third side.

Answers

Answer 1

Answer:

Between the lengths of 10 and 36 (exclusive).

Step-by-step explanation:

Since the lengths of any two sides is always greater than the third, the shortest possible length of the third side must be greater than 23 when added to 13. 23-13 = 10, so the third side must be greater than 10.

However, the third side also cannot exceed the length of the sum of the other two sides. 23+13 = 36, therefore the length must be less than 36.

The possible lengths of the third side lie between 10 and 36 (exclusive).

If we use 'l' for length, this range can be represented as follows:

[tex]10 < l < 36[/tex]

Hope this helped!

Related Questions

Plz help 50 points I need help now is it due at 7:30

Answers

Answer:

Step-by-step explanation:

I’m not sure what you mean since I can’t see the full on question let me know in the comments the full thing and I’ll answer without a doubt.

helppp

Robert bought 3 baseball caps for the same amount and 1 baseball jersey that cost $45. Without tax, the total cost of the items is $90. What is the cost of each baseball cap?

Answers

Answer: The cost of each baseball cap = $15.

Step-by-step explanation:

Let x = cost of each baseball cap

Given; cost of each baseball jersey= $45

Total coast of 3 baseball caps and 1 baseball jersey = $90

i.e. [tex]3x+45=90[/tex]

[tex]\Rightarrow\ 3x=45\\\\\Rightarrow\ x=\dfrac{45}{3}\\\\\Rightarrow\ x= 15[/tex]

Hence, the cost of each baseball cap = $15.

Answer: it is A have a good day

Step-by-step explanation:

George is building a fence he builds his fence at a constant rate of 1/3 section of fence every 1/2 hour at this rate what fraction represents the section of fence George can build per hour express your answer as a fraction

Answers

Answer:

2/3

Step-by-step explanation:

1/3= 1/2 hr.

×2 ×2

2/3=1hr

2/3

it is 35 degrees Celsius at your school and 90 degrees farenheit at home. where is the tempature higher?

Answers

Answer:

90 is higher

Step-by-step explanation:

The school is a higher tempature (warmer) than your home.
Hope this helps! It helps me if u mark me as brainliest :)

help ill mark u as brainlist

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]x = 112.5....... \: i.e \: option \: b.[/tex]

Step-by-step explanation:

[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]

THE FIRST PERSON TO GET IT RIGHT GET BRAINLIEST!!!!!!! Plzzz hurry I need to double check my answers.

Answers

its b because like its -2 to the power of 5 which is 0.04=1/25 i think so lol

Answer:

0.04 or 1/25

Step-by-step explanation:

If x = -2, then the equation is f(-2) = 5^-2

5^-2 is 0.04 so,

f(-2) = 0.04 or 1/25

I hope this helps :)

HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.

Answers

Answer:

-2

Given:

h(x) = -9

Step-by-step explanation:

h(x) = 4x - 1

-9 = 4x - 1

-9 + 1 = 4x

-8 = 4x

-8/4 = x

x = -2

hope you understood❤

The solution for x when h(x) = -9 is -2

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively

Given;

h(x) = 4x – 1...(1)

h(x) = -9

Substituting the value of h(x) in equation 1

-9=4x-1

-9+1=4x

-8=4x

x=-8/4

x=-2

Therefore, the solution for the equation will be x=-2

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ2

What is the result of solving this equation for x?

y−b=m(x−a)

Answers

Answer:
x=(y-b)/m

Explanation:
y-b=m(x-a)
Divide both sides by m
(y-b)/m=x-a
Add a to both sides
(y-b)/m+a=x
x=(y-b)/m

I hope this helps! Please comment if you have any questions.

Estimate 2 perfect squares 15 would be between.
1. 3 and 4
2. 4 and 5
3. 2 and 3
4. 6 and 7

Answers

3. 2 and 3 is your answer

2 and 3 is correct for your answer

The table shows the number of teaspoons of vanilla needed to make different batches of cookies.

Select one box from each row to describe how to find the number of teaspoons of vanilla needed to make n batches of cookies?

Answers

Answer:

Multiple

Step-by-step explanation:

The right triangle has a big square with an area of 73 sq. units . What could the area of the small squares be .

Answers

9514 1404 393

Answer:

E. 40 and 33

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the areas of the smaller squares will match the area of the largest square.

The answer choices have sums of ...

A: 76; B: 73; C: 96; D: 66; E: 73

So, choices with the correct sum are B and E.

If this question asks you to "choose all that apply," then B & E will be your answer choices.

We note that the areas of the smaller squares appear to be not much different in size. If their areas were 23 and 50, the smaller square would be less than half the size of the larger one. So, if the figure is drawn approximately to scale, the choice of 40 and 33 is a better choice.

Simplify 4/9 - 5/12 + 1/4

Answers

Answer:

5/18

Step-by-step explanation:

The simplified answer is 5/18

Step-by-step explanation:

the answer is

0.27777777777

A field in the shape of a square has an area of 8,100 square feet . What is the length of 1 side of the field ?

Answers

Answer:

A) Find the square root of 8,100.

Step-by-step explanation:

Answer is above

Is the equation linear? Select Yes or No for each equation.

Answers

Answer: 1. yes 2. yes 3. no

if x or y has more than one ex: xx

it is not linear

This type of triangle always has two congruent legs and two congruent
base angles. *

Answers

Answer:

Isosceles is correct........

Answer:

isosceles triangle

Step-by-step explanation:

PLEASE HELP! 30 POINTS!! WILL GIVE BRAINLIEST TO BEST ANSWER!!
THANK YOUUU

What is the expression in factored form? please show steps on how to get both answers!

1. x2+13x +42

2. 9x^2−4

^ means its number beside is the exponent.

Answers

Answer:

1. The factored form of the given expression is (x+7)(x+6).

2. What is the expression in factored form . 9x^2 -4

Step-by-step explanation:

1. The given expression is,

The degree of the expression is 2, the constant term is 42, and the coefficient of x is 13.

Use factoring by grouping method

To find the factor form, we have to find two numbers whose sum is 13 and whose product is 42.

The factors of 42 are,

From which the sum of 6 and 7 is 13.

So We can write the 13x as 7x+6x.

2. This expression can be factorized using the difference of squares which can be illustrated as follows:

A^2 - B^2 = (A+B)(A-B)

In the given example:

sqrt(9x^2) = 3x

sqrt(4) = 2

and the two squares are separated by a negative sign

Therefore, the difference of squares is applicable

Based on this, factoring the given expression would give us:

Answers

-3 * -3*-3

-27

Can someone one help me with this ?

Answers

C :) because all other fraction are 1> or 1

Answer:

Step-by-step explanation:

It should be c

If h(x) = 2x-3, find h(8)

Answers

H(8) means to replace x with 8 then solve:

2x -3 = 2(8) -3 = 16-3 = 13

H(8) = 13

34(3x+6)−14(5x−24) =

Answers

Answer:

32x+540

Step-by-step explanation:

Answer:

32x + 540

Step-by-step explanation:

1. Solve the multiplication:

102x +204 - 70x + 336

2.Simplify

32x + 540

Other Questions

Document Analysis DBQObjective: Students will learn how the Stamp Act affected colonists.Related benchmarks:SS.8.A.3.2 Explain American colonial reaction to British policy from 1763 - 1774. . SS.8.A.3.5 Describe the influence of individuals on social and political developments during the Revolutionary era. SS.8.A.3.6 Examine the causes, course, and consequences of the American Revolution. Essential Question/Guiding question Was it fair for the British to tax the colonists? Why or why not? Task Directions Today you will look at documents (sources) to determine how the Stamp Act impacted the colonists. For this assignment, you will read one document at a time and answer text-dependent questions. Documents on the Stamp ActDocument AThe Stamp Act (excerpts) passed by Parliament on March 22, 1765 AN ACT for granting and applying certain stamp duties, and other duties, in the British colonies and plantations in America, towards further defraying (to pay) the expenses of defending, protecting, and securing the same; and for amending such parts of the several acts of parliament relating to the trade and revenues of the said colonies and plantations, . . .For every . . . sheet or piece of paper, on which shall be . . . written, or printed:Item taxed Amount of Tax. . . any . . . pleading in any court. . . . 3 pence. . . any copy of any will. . . . 6 pence. . . any . . . certificate of any degree taken in any university, academy, college, or seminary of learning. . . 2 pounds. . . any . . . deed. . . . 3 pence. . . any pleading in an admiralty court 1 shilling. . . bill of lading (document used to transport goods) to be signed for goods exported 4 pence. . . And for and upon every pack of playing cards, 1 shillings and all pair of dice. . . . 10 shillings. . . And for and upon every paper, commonly called a pamphlet, and upon every newspaper. . . .(Varied depending upon the number of pages) to less than full sheet pence1-6 sheets would be 1 shilling per sheet. . . For every advertisement to be contained in any . . . newspaper . . . 2 shillings. . . For every . . . calendar or almanac . . .(Depended on how often it was printed) 4 pence **Note: 1 pound equals about $200 today/20 shillings equals a pound/1 shilling would equal about $10.00/12 pence equals 1 shilling/1 pence equals about 80 centsDocument A Analysisremember to paraphrase from the documents1. What is the source of the document? Is it a primary or secondary source? Explain.2. What was the purpose of the Stamp Act, according to the document?3. A colonist purchased a pair of dice, a 4 page newspaper, and placed an ad to sell a product in a newspaper. How much in todays money would that have cost?Document B: Taxation in Colonial America by Alvin RabushkaYear National Debt Government Revenue Government Spending1739 46,954,623 5,820,000 5,210,0001748 78,293,313 7,199,000 11,943,0001755 74,571,849 6,938,000 7,119,0001762 146,682,844 9,459,000 20,040,0001775 135,943,051 11,112,000 10,365,000Source: Alvin Rabushka, Taxation in Colonial America, 725. Princeton University Press, 2008.Alvin Rabushka is the David and Joan Traitel Senior Fellow (emeritus) at the Hoover Institution. He is an expert on taxation. His books and articles on the flat tax, with Hoover fellow Robert Hall, have provided the foundation for numerous tax reform bills. His book Taxation in Colonial America released by (Princeton University Press, 2008), won the Fraunces Tavern Museum Special Recognition Book Award in 2009.British debt doubled as a result of the French and Indian War. The annual cost of maintaining the British army in the thirteen colonies before the war was 13,000. The additional 15 battalions (large number of troops) in North America after the war increased the cost to 220,000. Interest on the debt was 4.4 million per year so just paying the interest concerned King George III and Parliament. The colonies opposed paying for their own defense so Parliament passed a tax to raise revenue to make the colonists provide for their common defense. The tax was called the Stamp Act because it required a stamp to be placed on all printed materials purchased throughout the thirteen colonies. The total amount intended to be raised by the new tax was 60,000 per year, this is not even 20% of the total amount required to maintain the troops.Document B AnalysisStudy the chart and reading to answer the questions. Remember to paraphrase.1. What is the source of the document? Is it a primary or secondary source? Explain.2. 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