What is the Triangle inequality theorem?

Answers

Answer 1

Answer:

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Step-by-step explanation:

Answer 2

Answer:

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Step-by-step explanation:

bye


Related Questions

is 104.25 a rational or irrational number

Answers

Answer:

Rational

Step-by-step explanation:

Irrational numbers go on forever

The decimal number 104.25 is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 104.25

There are only two-digit after the decimal place which means the number gets terminated.

Then the decimal number 104.25 is a rational number.

More about the rational number link is given below.

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h. How many yards are there in 255ft? (3 ft = 1 yd)

Answers

Answer:

85

Step-by-step explanation:

Answer:

85 yards

Step-by-step explanation:

You just go online to find the answer.

Each morning Soriano buys coffee and donut holes for his employees and clients. The following system represents the amount of coffee and donut holes bought this morning and the amount of money that he spent (in dollars). In the system, represents the number of cups of coffee that he bought and the number of cups of donut holes that he bought.

c+d=60

2.5+1.75=123.75

Part A: How many cups of coffee and donut holes did Soriano buy this morning?

Part B: How much does each cup of coffee cost?

Part C: How much does each cup of donut holes cost?

Part D: How much did Soriano spend in coffee and donut holes?

Part E: Use the elimination method to solve the system and determine the number of cups of coffee and donut holes that Soriano bought this morning.

Answers

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes

What is the slope of the graphed line

Answers

Answer:

3/9 or 1/3

Step-by-step explanation:

change in y over change in x is the slope

youre going up 3 and right 9, so 3/9 which simplifies to 1/3

Solve the equation for x.
26x = 156
x=

Answers

Answer: x=6

Step-by-step explanation:

156/26=6

therefore x=6

if I got 15 credits in i need 24 to graduate how many more i need

Answers

Step-by-step explanation:

I would have 9 to graduate

Answer: 9 credits

Step-by-step explanation:

24 - 15 = 9

please help... thank you.

Answers

Answer:

5

Step-by-step explanation:

nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5

use the graph shown to complete the following sentence. when x = -3, then y = ___.

Answers

Answer:

y = -6

Step-by-step explanation:

We are trying to find the y-value when x = -3.

We see from our graph and linear equation that when x = -3, y = -6.

Therefore, our answer is -6.

What is the equivalent expression to (8^-5/2^-2)^-4

Answers

Answer:

8^20 / 2^8

Step-by-step explanation:

when it is raised. you multiply it.

The temperature of a liquid is changing by -4.32 degrees celsius per minute. What will be the temperature change, in degrees Celsius over a period of 6.5 minutes?

Answers

Answer:

-28.08 degrees celsius

4x +9 <30 as a real world problem

Answers

Answer:

I hope it's good enough

Step-by-step explanation:

Talia bought 4 watermelons for her annual watermelon summer party. She also spent an additional 9 dollars on the party supplies. The total amount she spent was less than 30 dollars. Write an equation to represent this word problem in which the amount of money each watermelon was is represented by x.

The double number line below shows the approximate number of pounds in a certain number of kilograms: Based on the nunber line, about how many pounds are there In 4.5 kilograms?

1. 8

2. 9

3. 10

4. 11

Answers

The answer would be number 3 or 10

What is the perimeter of 3/8 3/8 and 4/8

Answers

If it is a triangle it is 1 1/4.
3/8+3/8+4/8= 10/8
Simplify to 1 2/8 and it can be simplified again to 1 1/4

Find x
8(x-27)+49=87+28x

Answers

Answer:

x = -12.7

Step-by-step explanation:

[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]

Hope this helps.

Answer:

x=-127/10 or x= -12.7

Step-by-step explanation:

8(x−27)+49=87+28x

Step 1: Simplify both sides of the equation.

8(x−27)+49=87+28x

(8)(x)+(8)(−27)+49=87+28x(Distribute)

8x+−216+49=87+28x

(8x)+(−216+49)=28x+87(Combine Like Terms)

8x+−167=28x+87

8x−167=28x+87

Step 2: Subtract 28x from both sides.

8x−167−28x=28x+87−28x

−20x−167=87

Step 3: Add 167 to both sides.

−20x−167+167=87+167

−20x=254

Step 4: Divide both sides by -20.

−20x/−20

=

254/−20

x=

−127/10

1 Two functions are shown below. Function A Function B x 0 3 5 y 5 3x 1 2 y 3 9 13 Which statement correctly describes the rates of change of the two functions? A The rate of change is 2 for both Function A and Function B. B The rate of change is 3 for both Function A and Function B. C The rate of change is greater for Function A than for Function B. D The rate of change is greater for Function B than for Function A.

Answers

Answer:

D The rate of change is greater for Function B than for Function A

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.

Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.

Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3[/tex]

Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.

The rate of change is greater for Function B than for Function A

Which expression represents the phrase?

"4 more than the product of 8 and n."

A)
8n – 4
C)
4(8 + n)
B)
8n + 4
D)
(8 + n) – 4

Answers

Answer: B

Step-by-step explanation:

4 more than the product of 8 and n is represented as 8n + 4 because:

4 more means add 4 to it.

We see that option B gives up 8n + 4.

The expression in words is 4 more than the product of 8n.

The answer is B.

Answer:

8n + 4

Step-by-step explanation:

Product of 8 and n :  8*n = 8n

4 more than the product of 8 and n means 4 should be added to 8n

8n + 4

Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty dollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell?

Answers

Answer:

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Step-by-step explanation:

Total Number of tickets = 40

Cost of general admission tickets = $20

Cost of VIP tickets = $30

Total revenue = $880

Let

x = number of general admission tickets sold

y = number of VIP tickets sold

The equations are:

x + y = 40 (1)

20x + 30y = 880 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

20x + 30y = 880

20(40 - y) + 30y = 880

800 - 20y + 30y = 880

10y = 880 - 800

10y = 80

y = 80 / 10

= 8

y = 8

Substitute y = 8 into (1)

x + y = 40

x + 8 = 40

x = 40 - 8

= 32

x = 32

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

5)40 is 77% of what number.
6) in Minnesota sales tax is 6.875%.what is the total (including tax) on items that total $178.46?

Answers

Answer:

5. 34% 6. $190.73

Step-by-step explanation:

trust man just trust

Answer:

5) 52

6) $190.73

Step-by-step explanation:

5)

Let the unknown number be x.

40 is 77% of x

40 = 0.77x

Divide both sides by 0.77

x = 52

Answer: the number is 52.

6)

We first calculate the amount of tax which is 6.875% of $178.46.

6.875% of $178.46 =

= 0.06875 * $178.46

= $12.27

The amount of tax is $12.27.

Now we add the amount of tax to the price before tax.

$178.46 + $12.27 = $190.73

The restaurant serves breakfast from 6 AM until 10:30 AM. They sell six every 15 minutes. Should the restaurant expect to sell more than or fewer than 100 omelettes? Explain your answer.

Answers

Answer:

The restaurant expect to sell more than 100 omelets

Answer:

They will certainly Sell more than 100.

Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!

Write the given zeros into a polynomial function
-7,3+2i

Answers

answer:
(x+7)(3+2i)(3-2i)

F&J Farms sells super egg-laying chickens that historically weigh on average 3 pounds with a standard deviation of 0.4 pounds. However, it has been discovered that the chickens actually weigh twice as much as they used to. What is actual the mean and standard deviation of the chickens?

Answers

Answer:

Mean of chicken = 6 pounds, Standard Deviation of chicken = 0.6 pounds

Step-by-step explanation:

Given : Chickens mean & standard deviation = 3 & 0.4 pounds respectively. Chickens considered weigh twice actually now.

If all numbers in the series are multiplied by a constant, the mean gets multiplied by that constant. So, new mean = 3 x 2 = 6

If all numbers in the series are multiplied by a constant, the standard deviation gets multiplied by that constant. So, new standard deviation = 0.4 x 2 = 0.8

Question 1 of 10
What is the solution to this equation?
X- 13 = -4
A. x=-9
B. x= 17
C. x = 9
D. x=-17

Answers

It’s c because if you subtract 9 from both sides you will get -4.

list the first three multiples of 11​

Answers

Answer:

22 33 44

Step-by-step explanation:

do you need to include 11

The first three multiples of 11 are 22 33 44

Which equation represents the line that passes through points B and C on the graph?


On a coordinate plane, point A is at (1, 4), point B is at (negative 4, 2), point C is at (negative 2, negative 2) and point D is at (5, negative 4).
y = negative 2 x minus 6
y = negative 2 x + 10
y = 2 x minus 6
y = 2 x + 10

Answers

Answer:

The answer is A y = -2 x - 6

Step-by-step explanation:

I got this question right on the test I took. Hope this help!

Answer:

a

Step-by-step explanation:

i got it right on edg 2020

Pls answer this is due today

Answers

Answer:

See below.

Step-by-step explanation:

It seems that the question above said that the value of the gift card decreased by $295.

The original amount of the gift card was $400.

$400 - $295 = $105

Once the original amount of the card was decreased by $295, it still has $105 left.

Part 2 of 2

Arleen can buy the wheelbarrow because she has $105 left on the card, and the wheelbarrow costs $100.

What is the increasing and decreasing intervals of this graph?

Answers

Answer:

A function is increasing on an interval if its slope is positive on that interval. That is, if you follow it to the right, it'll go up.

The graph increases at 3 and decreases at 1

A function is decreasing on an interval if its slope is negative on that interval. That is, if you follow it to the right, it'll go down.

Step-by-step explanation:

hope this helped

The function is increasing at (1, 0) and decreasing at (3, 0).

Given is a graph we need to determine what is the increasing and decreasing intervals of this graph,

If a function's slope is positive on an interval, the function is increasing on that interval. That is, it will go up if you follow it to the right.

The graph goes up at 3 and down at 1.

If a function's slope is negative on an interval, the function is declining on that interval. That is, it will descend if you follow it to the right.

Hence the function is increasing at (1, 0) and decreasing at (3, 0).

Learn more about increasing and decreasing intervals click;

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A generator turns __?____ energy into ___?____ energy


A.Coiled wire
B.Negative wire
C.Positive wire
D.Handle that can spin
E.Light bulb


Chose two answers to place on the sentence



Help asap

Answers

B, C waaaaaaaaaaaaaaaaaaaaaa

I need help again sorry pls I’ll wait this time Bc I pressed similar question help me pls for 100 pts

Answers

Answer:

can u add the question so we can help?

Step-by-step explanation:

-9.5 - (-8) -6.5
helpp

Answers

The answer is -8.15

What are the answers for questions for #’s 4, 6 and 8. You can answer the others if you want but don’t have to! Thank you!!! 15 POINTS!!!!!

Answers

Answer:

[tex]question \: \: 4. : \\ 320 \: miles = 3 \: inches. \\ question \: \: 6. : \\586 \frac{2}{3} \: miles = 5.5 \: inches.\\ question \: \: 8. : \\ 9 \frac{1}{10} \: inches =1,092 \: feets.[/tex]

Step-by-step explanation:

[tex]question \: \: 4. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ 320 \: miles = \frac{ \frac{3}{4} \: inch \times 320 \: miles }{80 \: miles} \\ \\ 320 \: miles \: = \frac{3}{4} \: inch \: \times 4 \\ 320 \: miles = 3 \: inches. \\ \\ question \: \: 6. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ \\ 586 \frac{2}{3} \: miles = \frac{ \frac{3}{4} \: inches \times586 \frac{2}{3} \: miles }{80 \: miles} \\ \\ 586 \frac{2}{3} \: miles = \frac{440}{80} \: inches\\ \\ 586 \frac{2}{3} \: miles = 5.5 \: inches. \\ \\ question \: \: 8. : \\ if \: 1 \: inche = 120 \: feets \\ 9 \frac{1}{10} \: inches = \frac{9 \frac{1}{10} \: inches \times 120 \: feets }{1 \: inche} \\ \\ 9 \frac{1}{10} \: inches = \frac{91 \times 120}{10} \: feets \\ \\ 9 \frac{1}{10} \: inches =1,092 \: feets.[/tex]

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There are 18 classes at Jerome Elementary. There are 23 students in each class.Select all of the expressions that are not good ways to use compatible numbersto estimate the number of students at Jerome Elementary.A. 18 x 23B. 20 x 20 What was true of the very first Native Americans? 20. What do we show loyalty to when we say the Pledge of Allegiance?4) Listen to the questionthe PresidentBthe United StatesC CongressDthe state where you live Look at the map of Europe. Which of these areas practiced Christianity in 800 CE? Anybody Know This. ? Is the relation represented in this table a function? Helppp The graph of a line passes through the two points (-2,1) and (2,1). What is the equation of the line written in general form ? A. y-1=0B. x-y+=0C. x+y -1=0 HELP ME WILL MARK BRIANLEST Molly and Maddie are clothes shopping. Molly has $100.00 and a coupon for a $5.00 discount at a clothing store where each shirt costs $15.00. Molly thinks that she can buy 8 shirts, but Maddie says that Molly can buy 7 shirts. The equations they used to model the problem are listed below.Solve each equation algebraically, justify your steps, and determine who is correct and why.Molly's equation15x + 10 = 100Maddie's equation15x - 10 = 100 What is the closest relative to modern humans?A. Homo Erectus B. Neanderthals C. Cro-Magnon What is the probability of spinning a C? 2. Rena mixes i cup of blue paint for every cup of red paint to make purple paint.Enter the number of cups of red paint Rena mixes with 1 cup of blue paint. Write the slope-intercept form of the equation of the line described.Through (-2, -1) and parallel to y=-2x-1 How long does one complete orbit of Earth aroundthe sun take, give the amount in years and days? Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.Online Content: Site 1Online Content: Site 2What is the term used to define the subject in a command which implies that "you" do something? Find the 17th term of the sequence. -11, -9, -7, -5, ... The mass of an atom Is found by adding Its protons and .The electric charge of an atom Is found by adding the charges carried by Its protons and . I need help ASAP PLZZZ!!!! Think about the proportion and the cross products for this problem:Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. help asapFigure PQRS is reflected about the y-axis to obtain figure P'Q'R'S':A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A polygon PQRS has P at ordered pair 1, 1, Q at ordered pair 2, 3, R at ordered pair 3, 3, S at ordered pair 4, 2. A polygon P prime Q prime R prime S prime has P prime at ordered pair negative 1, 1, Q prime at ordered pair negative 2, 3, R prime at ordered pair negative 3, 3, and S prime at ordered pair negative 4, 2.Which statement best describes the relationship between the two figures? Figure PQRS is bigger than figure P'Q'R'S'. Figure PQRS is similar to figure P'Q'R'S'. The measure of angle S is equal to the measure of angle Q'. The measure of angle S is equal to the measure of angle P'. The marching band walks mile in 2.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your answer below.