Triangle ABC above has side a = 1 and side c = 2. What constraints does the triangle inequality theorem put on side b?

Answers

Answer 1

Answer:

[tex]3 > b[/tex]

Step-by-step explanation:

Given

[tex]a = 1[/tex]

[tex]c = 2[/tex]

Required

Inequality to measure the length of b

The triangle inequality theorem states that:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

On side b, we make use of:

[tex]a + c > b[/tex]

Substitute values for a ad c

[tex]1 + 2 > b[/tex]

[tex]3 > b[/tex]

The inequality is: [tex]3 > b[/tex]


Related Questions

f(x)=((x^2)+5)/(2) please help

Answers

Answer:

the answe

Step-by-step explanation:

SWYK 16: Slope and Y-Intercept

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?

Answers

10 is the slope and 15 is the y-intercept
10 is the slope and 15 is the y intercept because the formula is y=mx+b and the m stands for slope and the b stands for y intercept

I need help pls help me with this i still dont know how to do it

Answers

Answer: u multiply them all together

Step-by-step explanation:nugggybi8ybggg8yiubgy8iibgu777777777b8u

Multiply them all together

Fatimah wants to build a one-sample z interval to


estimate the proportion of students at her school who ate


breakfast every day last week with 90% confidence. She


takes a random sample of 75 students and finds that 20


ate breakfast every day last week.


What critical value z* should Fatimah use to construct


this confidence interval?


A) z* = 1.282


B) z* = 1.645


C) z* = 1.96


D) z* = 2.576

Answers

Answer:

B: z*=1.645

Step-by-step explanation:

Khan academy step by step

Answer: z*=1.645

Step-by-step explanation:

Triangle LMN is given. What is the value of cos(N)?

A) 4/5

B) 3/5

C) 3/4

D) 4/3

Answers

The answer is the question

A pair of sneakers was purchased. When they were purchased the price decreased by 20% for a sale price of $125.00. What was the original price?

Answers

Answer:

$625

Step-by-step explanation:

to find the original divide the sale price by the decreased percentage. 125/%20(or .20)

can you solve this for me please?​

Answers

Answer:

19: 106

20: 79

21: 70

Step-by-step explanation:

Circle upper left

The central angles all add up to 360 degrees

BC + CD + 148 = 360

But CD = BC

2BC + 148 = 360            Subtract 148 from both sides

2BC = 360 - 148             Combine

2BC = 212                       Divide by 2

BC = 106

20

3 of the 5 arcs are marked as being equal.

Let each of them be called  = x

3x + 41 + 82 = 360          Combine

3x + 123  = 360                Subtract 123 from Both sides.

3x = 360 - 123

3x = 237

x = 237 / 3

x = 79

BC = 79

21

Unless DE and FC are diameters, this can't be solved. I will assume they are.

FB + 48 + 22 = 180.

FB + 70 = 180

FB = 110

===========

FC = FB + BD + DC

180 = 110 + 22 + DC

180 = 132 + DC

DC = 180 - 132

DC = 48

===========

BC = BD + DC

BC = 22 + 48

BC = 70

13=d divided by 6

(solve for d, thanks!)

Answers

Answer:

78 = d

Step-by-step explanation:

13 = d/6

Multiply each side by 6

13*6 = d/6*6

78 = d

show all your work?


and lease help me out ASAP​

Answers

Answer: 20

Step-by-step explanation:

3y + 2 = 62

3y = 60

y = 20

Write in simplest form: 8t2/(36t) = _____

Answers

4/9 is the correct answer

WHAT ORDER DO THESE GO IN HELPPPPPP AII!?

Answers

Answer:

They are correct. :)

Step-by-step explanation:

Throughout the column of the phrase,
the Inequality is CORRECT, and for the last two switch them ! They are not in the correct order, this is the right answer

QUESTION 13: Select each expression that is equivalent to -2 -3(n-1)."
3n+ 3-2


4(n + 1)

-2(n+2) + 5(n+1)

3n + 1

-5(n+1)

n+1

Answers

First, we have to simplify the first expression so we know what we're lookin' for.

-2-3n+3, -3n+1

We can scroll down the list of choices, and we can already see the answer.

---

sorry if this doesn't help

What is 1390000000 in scientific notation?

Answers

Answer:

139 e7

Step-by-step explanation:

I'm not good at scientific notation but I think I'm getting better....

Answer:

1.39 x 10^9

Step-by-step explanation:

DUE SOON!

A spinner has 8 equal spaces. If you spin it, what is the probability that you 2 points
spin a number greater than 5?

Answers

Answer:

78

Step-by-step explanation:

probability of getting a 5 which is 78.

Another way to look at this is that if we know the probability of the result being 5, then the probability of it not being 5 is just one minus that probability. We know that 5 is just one out of the 8 possibilities, so

P5=18

So the probability of not 5 is

Pnot5=1−P5=1−18=78

I have big brain

a:84

b:92

c:88

d:117

Answers

Answer:

117

Step-by-step explanation:

PLS HELP DUE TODAY,25 POINTS TO BRAINLIEST

Answers

Answer:

I think it’s H

Step-by-step explanation:

Answer:

The answer is H bacause it has the most number of colours

can someone pls answer :/

Answers

Sorry I don’t know this question but do not open the link above!

7. The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x, where x is
the number of complete video games manufactured. Which set of numbers best defines the domain of c(x)?
(1) integers
(2)positive real numbers
(3) positive rational numbers
(4)whole numbers

Answers

Answer:

(4) whole numbers

Step-by-step explanation:

Given function:

c(x) = 400 + 25xwhere x is the number of complete video games.

The complete video games can be expressed as positive integers or whole numbers, so the domain is whole numbers.

Correct choice is (4)

Answer:

Whole Number

Explanation:

Domain : The set of all the input values (i.e. the value of x ) in the function is called domain

The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

As x defines the number of complete video, since number of video cannot be negative.

1) Integers : integers are the numbers which can be positive, negative or zero, but cannot be a fraction

As, number of videos cannot be negative

so, x cannot be any integers

So, Integers is not the domain

2) Positive real numbers : Real numbers are the numbers which include both rational and irrational numbers.

As the x represent the complete number of video games, thus, x cannot be irrational

Hence, Positive real numbers is not the domain

3) Positive Rational Number : a number is expressed in the form of p/q then it is a rational number

The number of videos are in the complete number, so a fraction cannot be a complete number, thus, rational number cannot be a domain.

4) Whole Number : Whole numbers include natural numbers that begin from 1 onwards

As Numbers of videos are the complete number, and they are always positive, which is the defination of whole number, Domain is whole number

what is the answer please i need help

Answers

Answer:

Step-by-step explanation:

Ok this is the last one :)​

Answers

Answer:

12 53,9

Step-by-step explanation:

Answer:

12,53,9

Step-by-step explanation:

:PPP

For Kristina’s birthday, her parents purchased 16 balloons from an online party store. The cost for each balloon was the same. The store also charged an $8.00 shipping fee. The total amount that Kristina’s parents paid was $56.
Write an equation to model the situation. Use x to represent the cost of each balloon.

Solve your equation from part A to find out the cost of each balloon.

Answers

Answer:

56÷x+8

Step-by-step explanation:

Please help me with this

Answers

9514 1404 393

Answer:

  Vertex: (-1, 4)

  Maximum: f(-1) = 4

  Increasing: (-∞, -1)

  Decreasing: (-1, ∞)

Step-by-step explanation:

The equation can be written in vertex form by "completing the square."

First factor out the leading coefficient from the x-terms.

  f(x) = -(x² +2x) +3

Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

  f(x) = -(x² +2x +1) +3 +1

Write in vertex form.

  f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k

You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.

The function will be increasing to the left of the maximum, decreasing to its right.

__

Vertex: (-1, 4)

Maximum: f(-1) = 4

Increasing: (-∞, -1)

Decreasing: (-1, ∞)

Graph: see attached

c+11=24
please help!!

Answers

Answer:

13

Step-by-step explanation:

Answer:

c=13

Step-by-step explanation:

Hey There!

c+11=24

When looking at this problem you want to get the variable on one side (c) and the constant on the other ( any whole number)

as you can see we need to get rid of the 11 on the left side

to do that we subtract 11 but whatever you do to one side you have to do to the other side

11-11 cancels out

24-11=13

so we can conclude that

c=13

Factor the trinomial 3x2 + 13x − 10 by grouping.

Answers

Answer:

(3x - 2) (x+5)

Step-by-step explanation:

3x^2 + 13 - 10

15× - 2 = -30

15+-2 = 13.....substitute 15x - 2x in place of 13x

3x^2+15x-2x-10

Factorise the first two values, thrn the second two

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

Gathering the like terms together you eill be left with the following

(3x - 2) (x+5)

The factors of the trinomial 3x² + 13x - 10 is (3x-2)(x+5).

What is Factorization?

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

we have,

Trinomial= 3x² + 13x - 10

Now, factories using splitting the middle term we get

3x² + 13x - 10

= 3x² + 15x - 2x - 10

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

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

So, the factors are (3x- 2(x+5)

Learn more about Factorization here:

https://brainly.com/question/30525927

#SPJ5

Katelyn drove 210 miles in 3 hours. Samantha
drove 540 miles in 8 hours,
Who drove faster? Explain your answer.


please help it’s for 21 points

Answers

Answer:

katelyn

Step-by-step explanation:

you divide distance by time to get rate, and katelyn has a faster rate because 210/3 is more than 540/8

Answer:

Katelyn drove faster

t=d/s

s=d/t

d=s*t

Step-by-step explanation:

s=d/t is what we are using to find the speed

Katelyn- 210/3=70

Samantha-540/8=67.5

70>67.5

Katelyn drove faster

Combine like terms: m + 11g - 7g + 7m

Answers

Answer:

4g+8m

Step-by-step explanation:

7m+m=8m 11g-7g=4g


SOEMOME PLEASE HELO

Answers

Answer:

the secound one

Step-by-step explanation:

hope it helped:3

What's 5m²+5m+9m+8m²-m²= plss​

Answers

Answer:

12m^2+14m

Step-by-step explanation:

The "^means exponet" Hope I made your day

:)

It is 26m hope you have a wonderful day.

Which function is equivalent to



g ( x ) = x 2 - 15 x - 54?

Answers

Answer : (x+18)(x-3)

(2.8×10⁸)⁴×(1.6×10⁶)÷2.1×10¹⁵,what's the answer in scientific notation correct to 3 significant figures?​

Answers

Answer:

it should be 9375 if to do all opf this work

Step-by-step explanation:

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