Determine if the side lengths could form a triangle, Use an inequality to prove your answer16 m, 21 m, 39m

Determine If The Side Lengths Could Form A Triangle, Use An Inequality To Prove Your Answer16 M, 21 M,

Answers

Answer 1

Answer:

No

Explanation:

To determine if the side lengths could form a triangle, we use the triangle inequality.

By the triangle Inequality, If the sum of the lengths of any two sides is greater than the third side, then they can form a triangle.

Given the side lengths: 16m, 21m, 39m

\(\begin{gathered} 16+21>39 \\ 37>39\text{ (False)} \end{gathered}\)

Similarly:

\(\begin{gathered} 16+39>21 \\ 55>21\text{ (True)} \end{gathered}\)

Finally:

\(\begin{gathered} 39+21>16 \\ 60>16\text{ (True)} \end{gathered}\)

• We see that ,the sum of the two lengths (16 and 21) is not greater than the third side 39.

,

• Although the other two cases hold, the three cases must hold for it to form a triangle.

Thus, the side lengths cannot form a triangle.


Related Questions

If 10 pants cost 240u.m, how much will 8 pants cost?​

Answers

Answer:

8 pants wil cost 192 u.m.

Step-by-step explanation:

1. Establish a rule of 3.

10 pants ----> 240u.m

8 pants  ----> x

2. Solve for x.

In a rule of 3, whenever the x is located at the bottom right corner, you always have to multiply upwards and to the right, and then divide the resulting number by the number on the top left. This is the operation you need to make:

x= (8 x 240) / 10

x= 192

Check the attached image to get a better understanding of this process.

3. Conclude.

8 pants wil cost 192 u.m.

-------------------------------------------------------------------------------------------------------

Learn more about rule of 3 applications here:

https://brainly.com/question/28307617

https://brainly.com/question/28279894

https://brainly.com/question/28241799

https://brainly.com/question/28227046

If 10 pants cost 240u.m, how much will 8 pants cost?
Proportionality of magnitudes and rule of three

Proportional quantities are divided into directly and inversely proportional.

Two magnitudes are said to be directly proportional

when we multiply one of them by a number, the other is multiplied by the same number, and when we divide one of them by a number, the other is divided by the same number.

Problem :

If 10 pants cost 240u.m, how much will 8 pants cost?

We have:

\(\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \bold{ Assumption \: { \rightarrow} 10 \: pants \: \rightarrow 240 \: u.m\\\sf \: \: \: \: \: \: \: \: \: Question \rightarrow8 \: pants \rightarrow \: x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)

As can be seen, the number of pants and the cost are magnitudes directly proportional, and therefore, we put the + sign below the pants and the - sign above.

Therefore we will have:

\(\boxed{ \bold{ \: x = \dfrac{240 * 8}{10} = 192 \: u.m} }\)

So the 8 pants cost 192.

If 10 pants cost 240u.m, how much will 8 pants cost?

Using the quote, "Those of us on the margins wonder if our stories matter" what is the significance of the quoted text?

Answers

The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.

What is a quote?

Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.

Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.

You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.

In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.

Learn more about quote on:

https://brainly.com/question/2762082

#SPJ1

A submarine descended 32 feet below the surface of the ocean. It then rose 15 feet o look at a shark. Write a solution using integers and solve to find the current depth of the submarine. (Answer should be negative)

Solution and Answer:

Answers

Answer:

-32+15= -17ft

Step-by-step explanation:

when substracting integers with different signs, you substract and keep the sign of the higher number. 32-15=17 and the higher number which is 32 has a negative sign so -17.

Help meeeeee
whats 1/2+3/4+3/8 who ever helps is awesome ​

Answers

Answer:

13/8

Step-by-step explanation:

1/2+3/4+3/8

denominator should be 8

4/8+6/8+3/8

add

13/8

which mixed number is equivalent to the improper fraction of 41/10

Answers

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Math
Ryann Freeman
The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue
candies in the bag, how many red candies are there?

Answers

Answer:

25

Step-by-step explanation:

if four is the ratio of blue to five then divide four by 20 blue because thats the number your finding and you get 5 so then you multiply 5 by 5 and you get 25

Answer:

25

Step-by-step explanation:

Divide 4 by 20 to get 5. Then multiply 5 by 5 to get 25.

a. NewBank started its first day of operations with $155 million in capital. A total of $92 million in checkable deposits is received. The bank makes a $28 million commercial loan and lends another $23 million in mortgage loans. If required reserves are 5.4%, what does the bank balance sheet look like?
b. Suppose NewBank decides to invest $273 million in 30-day T-bills. The T-bills are currently trading at $4,981 (including commissions) for a $4,940 face value instrument. How many T-bills do they purchase? What does the balance sheet look like?

Answers

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

Understanding Balance Sheet

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

Learn more about balance sheet here:

https://brainly.com/question/1113933

#SPJ1

a. NewBank started its first day of operations with $155 million in capital. A total of $92 million in

Mr Wilson saved $2,500 to buy airline ticket for his family he bought 6 airline ticket for $378 each how much saving does mr Wilson have after he buys the ticket?

Answers

Answer:

he bought 6 tickets for 372 each

so 372 *6 = 2232 total cost of tickets

2500 - 2232 = $268 left after buying the tickets

Step-by-step explanation:

see picture.. see picture..

see picture.. see picture..

Answers

Check the picture below.

see picture.. see picture..

(will give brainliest for first answer) Indicate YES or NO as to whether the transformation will map hexagon ABCDEF onto itself.


A. Reflecting over AC¯¯¯¯¯

B. Reflecting over BE¯¯¯¯¯

C. Rotating 120° counterclockwise about point X

D. Rotating 240° clockwise about point F

(will give brainliest for first answer) Indicate YES or NO as to whether the transformation will map

Answers

Answer:

I believe it is A or D

Step-by-step explanation:

I took this a while ago I can't remember the answer fully, but I believe it's a or d

35% of what is 28?............

Answers

35 percent (calculated percentage %) of what number equals 28? Answer: 80.

35% of 80 is 28.

Answer is 80.

what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15

Answers

Answer:

Step-by-step explanation:

1/2x - 2/3 × 15 = 30

1/2x - 10 = 30

1/2x = 30 + 10

1/2x = 40

x = 40 × 2

x = 80

hope this helps

plz mark it bas brainliest!!!!!!!!!

The answer is x =80. I have showed the wirking below. Hope this helped.
what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15

A rectangular sticker has an area of 55 square mm and a perimeter of 32 mm. What are the dimensions of the sticker

Answers

The calculated dimensions of the sticker are 11 mm by 5 mm

How to determine the dimensions of the sticker

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

shape = rectangle

perimeter = 32 mm

Area = 55 square mm

Represent the dimensions of teh sticker with x and y

So, we have

Area = xy

Perimeter = 2(x + y)

substitute the known values in the above equation, so, we have the following representation

xy = 55

2(x + y) = 32

So, we have

xy = 55

x + y = 16

When x = 11 and y = 5, we have

11 * 5 = 55

11 + 5 = 16

Hence, the dimensions of the sticker are 11 mm by 5 mm

Read more about areas at

https://brainly.com/question/24487155

#SPJ9

an algebraic expression and simplify if possible: the product of −3 and 15.

Answers

The Algebraic expression -3 * 15 simplifies to -45.

The product of -3 and 15 can be represented algebraically as (-3) * 15.

To simplify this expression, we can perform the multiplication operation:

(-3) * 15 = -45

Therefore, the product of -3 and 15 simplifies to -45.

In the given expression, we have multiplied -3 by 15, resulting in a negative value since one of the factors is negative. Multiplying a negative number by a positive number yields a negative product.

So, the algebraic expression -3 * 15 simplifies to -45.

To know more about Algebraic expression.

https://brainly.com/question/30318592

#SPJ11

Will give BRAINLIEST to answer these three questions

Will give BRAINLIEST to answer these three questions

Answers

Answer:

2.Post Office, Library, Park, Town Hall

3.2/6, 3/9, 4/12, 6/18

4. less than 1/2 in.: 1/8, 5/16

equal to 1/2 in.:8/16

more than 1/2 in.:5/8, 9/16, 15/16

Step-by-step explanation: Comment if you want the explanation.

1.post office,library park town hall (tip: draw a number line it will help you visualize it)

2.2/6,3/9,4/12,6/18 answer 2,3,4,6 (tip: divide the bottom number by 3 (which is essentially multiplying it by 1/3) gives you your answer)

Find P B H L and then L.A S.A and Volume

Find P B H L and then L.A S.A and Volume

Answers

Therefore, the perimeter of the base is 40 km, the base area is 100 km², the height is 12.1 km, the slant height is approximately 15.12 km, the lateral area is approximately 75.6 km², the surface area is approximately 175.6 km², and the volume is approximately 403.33 km³.

What is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is usually expressed in cubic units, such as cubic meters (m³) or cubic feet (ft³). The formula for calculating the volume of simple shapes, such as cubes, rectangular prisms, cylinders, and spheres, can be derived from their respective dimensions.

Here,

To find the perimeter, base area, height, slant height, lateral area, surface area, and volume of a pyramid with base side 10 km and height 12.1 km, we can use the following formulas:

Perimeter of the base = 4 × base side

Base area = (base side)²

Height = height of the pyramid

Slant height = √((base side/2)² + height²)

Lateral area = (base side/2) × slant height

Surface area = Base area + Lateral area

Volume = (1/3) × Base area × height

Substituting the values given, we get:

Perimeter of the base = 4 × 10 km

= 40 km

Base area = (10 km)²

= 100 km²

Height = 12.1 km

Slant height = √((10 km/2)² + (12.1 km)²

≈ 15.12 km

Lateral area = (10 km/2) × 15.12 km

≈ 75.6 km²

Surface area = Base area + Lateral area

= 100 km² + 75.6 km²

≈ 175.6 km²

Volume = (1/3) × Base area × height

= (1/3) × 100 km² × 12.1 km

≈ 403.33 km³

To know more about volume,

https://brainly.com/question/12237641

#SPJ1

Solve for t in 2^t²- t= 4​

Answers

Answer:

t= -1/2 ,t=4

Step-by-step explanation:

2t^2- t -4 =0

2t^2 - 8t+t -4=0

(we have to find the factor here. I have used The Product Sum method of factorization)

2t( t-4) + 1( t-4)=0

(2t+1) (t-4)=0

t= -1/2 ,t=4

FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)

Answers

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Ally wants to attend a Broadway show but needs to figure out a way to get into Manhattan. She wants to take a yellow taxi to Manhattan. The yellow taxi charges $1.75 flat rate in addition to $0.65 per mile. Ally has no more than $10 to spend on a ride. How many miles can Ally ride the yellow taxi without going over her budget? Label a variable, write an inequality that represents the number of miles, solve the inequality and leave your answer as an exact decimal. PLS!

Answers

Answer:12.6923076923

Step-by-step explanation:for starters u have to subtract 1.75 out of 10 dollars after that u have to divide 8.25 which is the left over of 1.75 minus 10 after u divide u should get 12 if u round but since u want the full decimal thinggy it is 12.6923076923

Sienna shares half of a pizza equally among herself and 3 friends. What fraction of the whole pizza will each friend get? *

Answers

1/8

1/2 = 4/8
(4/8) / 4 = 1/8

You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)

Answers

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

hiii please help

a- each person who takes a drink from the cooler drinks approximately ately 24 oz of water

b- the water cooler started off with 648 oz of drink in it

c- there are 24 people who take a drink from the cooler

d- each of the 24 who take a drinks from the cooler drinks 1oz

hiii please help a- each person who takes a drink from the cooler drinks approximately ately 24 oz of

Answers

i think the answer is C

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The 164° and 81° located with the angle x at a point indicates that the size of the angle x is 115°

What is the sum of angles at a point?

The angles that are arranged around a point add up to 360°. The angles at a point are the angles which together, produce a rotation of 360°.

The sum of angle at a point can be used to find the measure of the angle x as follows;

The addition of angles at a point = 360°

Therefore; 164° + 81° + x = 360°

Therefore; x = 360° - (164° + 81°) = 115°

The measure of the angle x is 115°

Learn more on the addition of angles property here: https://brainly.com/question/31226618

#SPJ1

Help! I'll give brainliest to first correct answer.

Help! I'll give brainliest to first correct answer.

Answers

1 to A

2 to C

3 to B

4 to D

and that's all

Five more than the product of a number and six is equal to nine

Answers

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

simplify
3x^2+ 13x – 10
9x^2 - 4

simplify3x^2+ 13x 109x^2 - 4

Answers

Considering the given fraction, the simplified expression is as follows:

\(\frac{x + 5}{3x - 2}\)

How to simplify a fraction?

In this problem, we have a fraction, in which:

The top term is called the numerator.The bottom term is called the denominator.

To simplify the entire fraction, we must factor both the numerator and the denominator, and then simplify, that is, eliminate, the common terms.

The numerator is given as follows:

3x² + 13x - 10

It can be factored as:

(3x - 2)(x + 5).

This is because x = 2/3 and x = -5 are the roots of the numerator.

The denominator is given by:

9x² - 4.

It can be factored as:

(3x + 2)(3x - 2)

Applying the subtraction of perfect squares.

Hence the simplified expression is:

\(\frac{3x^2 + 13x - 10}{9x^2 - 4} = \frac{(3x - 2)(x + 5)}{(3x + 2)(3x - 2)} = \frac{x + 5}{3x - 2}\)

More can be learned about simplification of expressions at https://brainly.com/question/723406

#SPJ1

Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1 and the average expenses incurred for accidents is $38,000. If an insurance plan has a yearly premium of $1,000 and a deductible of $4,000, the expected value per accident to each insured motorist is -$ and the expected value per accident-related claim to the insurance company for every customer is -$

Answers

Answer:

$1,200 and $409

Step-by-step explanation:

Select the correct answer. If 20% of a number is 35, what is 50% of that number?

Answers

87.5 is the answer.

Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000

Answers

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

What is the Sample Statistic?

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

Read more about Sample Statistic at; https://brainly.com/question/7301139

#SPJ1

algebra domain and range please help

algebra domain and range please help

Answers

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Other Questions
evidently, the data is not linearly separable. therefore the perceptron algorithm will not be able to learn a classifier for xor, based on this data. however, we can add a 3rd dimension/feature to each input such that the data becomes linearly separable. if we add (1, 0, 0, 1) to the 3rd dimension (x3) of the four data points in order, will the new data be linearly separable? assume 0 is the threshold for classification. justify your answer. does the ability to add a 3rd dimension indicate that the perceptron algorithm is capable of learning the xor function? why or why not? find the height and radius of the least expensive closed cylinder which has a volume of 1000 cubic inches. assume that the materials are free, but that it costs 80 cents per inch to weld the top and bottom onto the cylinder and to weld the seam up the side of the cylinder. In Isabel's video game, she receives a treasure box for completing a mission. Each treasure box gives Isabel a special item. Every treasure box has a 17% chance of having an amulet, a 26% chance of having a wand, and a 57% chance of having a ring. Isabel wants to simulate what could happen for the next ten treasure boxes. So for each treasure box, she generates a random whole number from 1 to 100. (a) What is a range of values that Isabel can use to represent a treasure box having a ring? ? I to ] (b) Here is Isabel's simulation. Treasure box 1 2 3 4 5 6 7 8 9 10 Random number 27 74 59 52 2 96 34 33 51 18 Using your answer in part (a), find the percentage of the 10 simulated treasure boxes that had a ring. Use the drop-down menus to complete the description of the rock cycle at Stone Mountain. Name the type of food additive that stops the food reacting with oxygen. Which of the following provides the best description of active transport of materials across the cell membrane? Active transport does not require energy and moves materials from areas of relatively higher to lower concentration. Active transport does not require energy and moves materials from areas of relatively lower to higher concentration. Active transport requires energy and moves materials from areas of relatively lower to higher concentration. Active transport requires energy and moves materials from areas of relatively higher to lower concentration. You spin the spinner once.3 4 5What is P(greater than 4 or less than 5)?Write your answer as a percentage. Loss of plasma proteins will affect which of the pressures associated with capillary function?A. plasma oncotic pressureB. interstitial oncotic pressureC. plasma hydrostatic pressureD. interstitial fluid hydrostatic pressure 8 baskets ?16 movies = ?How many movies will fit into 24baskets? Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8. Question Details The joint probability function of two discrete random variables X and Y is given by f(x; y)-c(2x + y), where x and y can assume all integers such that 0 (a) Find the value of the constant c. Give your answer to three decimal places. (b) Find P(x-0,Y-3). Give your answer to three decimal places. (c) Find Pix2 1,Ys 3). Give your answer to three decimal places. (d) X andY are independent random variables x 2; 0 y 3, and f(x; y) = 0 otherwise Can't be determined False True .Buying, selling, and holding currency in an effort to profit through exchange-rate fluctuation is called what Solve for x.-3x = 15 What are the 3 characteristics of useful information? Which of the following corporate strategies is being employed when a large grocery store builds a bakery in which all of the store-brand bread, rolls, and pastries are baked and then sold in the store?A. Differentiation strategyB. Conglomerate diversificationC. Vertical integrationD. Low-cost strategyE. Functional strategy which clause in the listing agreement gives the listing broker the authority and obligates the broker to market the property to other brokers? To the end of his life, Skinner questioned whether psychology could be a science if it ____ 1. Which of the two objects, if either, reaches a greater height after leaving the ramp? Justify your answer qualitatively without any equations. 2. Justify your answer about which object reaches a greater height using appropriate equations. 3. Explain how your equations in part "b)" reexpress your reasoning in part "a)". Do not simply refer to any final results of your calculations, but instead indicate how terms in your equations correspond to concepts in your qualitative explanation. write the index notation of 3*3*3*3 Spain and _______ were at conflict in 1719?