Determine if the side lengths could form a triangle. Use an inequality to prove your answer.



a) 16 m, 21 m, 39 m



b) 34 km, 27 km, 58 km



c) 29 ft, 38 ft, 9 ft

Answers

Answer 1

9514 1404 393

Answer:

  a) no

  b) yes

  c) maybe (no)

Step-by-step explanation:

There are two versions of the triangle inequality. One requires ...

  a + b > c

for any triple of side measures a, b, c.

The other allows ...

  a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.

__

a)

  [tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]

b)

  [tex]27+34=61>58\qquad\text{could be a triangle}[/tex]

c)

  [tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]


Related Questions

An ice cream factory makes 230 quarts of ice cream in 5 hours. What is the constant of proportionality?
A:41
B:46
C:225
D45

Answers

Answer:

C

Step-by-step explanation:

What is m / 5 - 2 = 8

Answers

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

Somone please help me on 9 and 10. I have done the rest but I am so confused on this. please

Answers

Answer:

C and A

Step-by-step explanation:

Remember what slope means: [tex]\frac{rise}{run}[/tex].

9. The first slope is 2, or [tex]\frac{2}{1}[/tex]. This means it is moving up 2 and over 1. The second option is the reciprocal, [tex]\frac{1}{2}[/tex]. The second slope moves up 1 and over 2. The first slope is going higher than the second at the same distance. But then we are given the third slope. I'm going to assume here that it does not matter whether the slope is negative or positive, you are only considering steepness. If our first slope moved up 2 and over 1, this slope moves down 4 and over 1, meaning it is covering more area over the same distance. So the steepest slope is option C.

10. Right off the bat we can get rid of option C. The slope is zero, meaning a flat line with no steepness. Next, we need to figure out if A or B is steeper.

First, we can turn them into mixed numbers in order to better be able to tell which is greater.

[tex]\frac{5}{3}=1\frac{2}{3}[/tex]

[tex]\frac{-3}{2}=-1\frac{1}{2}[/tex]

Because we don't care whether the line is ascending or descending, we will compare the absolute value of the slopes.

[tex]1\frac{2}{3} >1\frac{1}{2}[/tex]

So we can see that slope A, [tex]\frac{5}{3}[/tex] is steeper than slope B.

I hope this helps!

subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x

Answers

Answer:

x = 11/2

Step-by-step explanation:

We would first put it in an equation

5x - 1 = 10 + 3x

We would first add 1 on both sides

5x = 11 + 3x

Then we subtract 3x on both sides

2x = 11

Divide both sides by 2

x = 11/2

The value of x from the given algebraic statement expression is;

x = 11/2

This is about simple Algebra.

The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1

The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10

Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;

       5x - 1 = 3x + 10

Let's add 1 to both sides to get;

5x - 1 + 1 = 3x + 10 + 1

⇒ 5x = 3x + 11

Let's subtract 3x from both sides to get;

2x = 11

Divide both sides by 2 to get;

x = 11/2

Read more at; https://brainly.com/question/18358801

A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, negative 8, negative 2, 4, 10. Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table. y = x +

Answers

Answer:

The correct answer is y = 3x + 1.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

Answer:

y=3x + 1

Step-by-step explanation:

I got it right on the assignment and plus im smart

Which of the following is not a polynomial?

Answers

as dhad said c is not the polynomial

what would the value of X be on this one?

Answers

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

HI GUYS, PLEASE HELP ME FOR THE ALGEBRAIC EXPRESSOIN 6x=yx2+5​

Answers

Step-by-step explanation:

6x=2x+5

6x-2x=5

4x=5

4x/4=5/4

X=1.25

In 2020, a town was recorded as having a population of 10,000 and is predicted to grow at 5% every year. What will be the population in 2035, to the nearest whole number? *

Answers

Answer:

20789

Step-by-step explanation:

The equation of exponential growth is y=A(1+r)^t

A=10,000

r (rate)=0.05 (5% as a decimal)

t (time)=15 (2035-2020=15)

y=10,000(1+0.05)^15

y=20789.2817

you can't have part of a person, so y=20789

Solve for X.

A. 10
B. 12
C. 15
D. 22

Answers

Answer:

B. 12

Step-by-step explanation:

Since Z is midpoint of SR and Y is midpoint of QR, so as per triangle midpoint theorem ZY is parallel to SQ and measures half of its value:

SQ = 2ZY3x - 8 = 2(x + 2)3x - 8 = 2x + 43x - 2x = 4 + 8x = 12

Correct answer choice is B

Answer:

the answer is B.12 ......

find the area of the regular polygon

Answers

Answer:

433.4

Step-by-step explanation:

Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4

A person receives a paycheck of d dollars. The person spends 18% of the

paycheck on rent, 15% of the paycheck on insurance, and 22% of the paycheck

on food and puts the remainder of the paycheck into savings.

If the amount the person puts into savings can be

represented by the

expression d - 0.18d - 0.15d - 0.22d, which expression also represents the

amount the person puts into savings?

O 0.45d

O 0.550

O 1.450

O 1.550

Answers

Answer:

0.45d

Step-by-step explanation:

Given that :

Amount of paycheck = d

Amount spent on rent = 18%

Amount spent on insurance = 15%

Amount spent on food = 22%

Amount put into savings = d - 0.18d - 0.15d - 0.22d

Amount put into savings = d - ( 0.18d + 0.15d + 0.22d)

d - 0.55d

Amount put into savings = 0.45d

A golf ball is hit with an initial velocity of 100 feet per second. The height of the golf ball can be represented by the equation h=100t−16t^2, where t is the time in seconds since the ball was hit and h is the height of the ball in feet. How long will it take for the ball to hit the ground?

Answers

Answer:

6.25 seconds

Step-by-step explanation:

Using the the equation

h = 100t − 16t^2

The ball hits the ground, when h = 0, solving below equation:

100t − 16t^2 = 04t(25 - 4t) = 0t = 0 seconds, this is the starting point when ball was hit25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground

Answer:

6.30 seconds

Step-by-step explanation:

What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?

Answers

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

HELP ME!

CHOOSE CORRECT ANSWERS!

Answers

Is this algebra 1 or 2....

Write each algebraic expression in words.
Then evaluate each expression for n = 6.
a) 4n:
b) n + 8:
c) n/2:
d) 7 + 3n:
e) 10n – 15:
f) 50 – 8n:
Please help :(((

Answers

a) 4 times a number; 4(6) = 24

b) a number plus 8; (6) + 8 = 14

c) a number divided by 2; (6)/2 = 3

d) 7 added to a number multiplied by three; 7 + 3(6) = 25

e) 15 subtracted from 10 times a number; 10(6) -15 = 45

f) 8 times a number subtracted from 50; 50 - 8(6) = 2

I hope this helps!

Please help me out with those questions...

Answers

Answer:

D

Step-by-step explanation:

I ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?

WILL MARK BRAINLIEST!!!

Answers

Is this algebra 1 or 2 please mark me brainilist I need 1 more please

Yooooooo somebody help me...

Answers

Answer:

B

Step-by-step explanation:

After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax am

Answers

Answer:

$99.84

Step-by-step explanation:

Step one:

given data

we are told that before tax the bill is pretax= $78

the tax is 8%

and he left 20% of the pretax for the attendant.

Step two:

let us find the amount he paid for eating with tax

=8/100*78

=0.08*78

=$6.24

with tax the meal cost  is

= 78+6.24

=$84.24

let us solve for the tip he left  (note: it is 20% of the pretax)

=20/100*78

=0.2*100

=$15.6

the tip is $15.6

Step three:

the total amount he paid after eating plus tax and tip is

78+6.24+15.6

=$99.84

Answer:

99.84

Step-by-step explanation:

*PLEASE ANSWER, I DON"T GET IT*
Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
a.) −1 ≤ y – 3 OR y – 3 ≤ 1
b.) y – 3 ≤ −1 AND y – 3 ≥ 1
c.) −1 ≤ y – 3 AND y – 3 ≤ 1
d.) y – 3 ≤ −1 OR y – 3 ≥ 1

Answers

The explanation is on the board if you have a question just comment

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

What is compound inequality?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

To learn more about compound inequality visit:

https://brainly.com/question/20296065.

#SPJ2

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

Answers

Answer:

it's 61 mph bc when you divide 183 by 3 you get 61 which is how fast he was going

Step-by-step explanation:

Answer:

His average speed is 61

Step-by-step explanation:

183 divided by 3 is 61 which equals one hour of driving

What do you call the number that you divide by?

Answers

Answer:

the number that you divide by is called the dividend and the number which the dividend is being divided by is the divisor.

which is incorrect rounding for 53.864?
Please help me!

Answers

Answer:

52

Step-by-step explanation: This would be incorrect because 53.864 must round up.

On which number line do the points represent negative 4 and 1 over 2 and +3?


Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.

Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0.



what is the answer PLZ help asap

Answers

Answer:

ITS A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!=)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just put A :)

a family wants to rent a car to go on vacation Company A charges $30.50 and 11 cent per mile. Company B charges $60.50 and 12 cent H ow much more does Company B charge for x miles than Company A PLZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE I WILLLLLL RATEEEE BRAINEST

Answers

Answer:

$30 and 1 cent more

Step-by-step explanation:

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helped, please mark Brainliest, thank you !!

I'm analyzing a song for an assignment and I need a appropriate song to use, something popular. any suggestions? ( comment if full)

Answers

Answer:

id recommend any song by brent faiyaz or lost boy by ruth b because it has a little more meaning orrrr the bigger picture by lil baby (thats a good one :)) orrrr girl of my dreams by rod wave orrrr almost is never enough  by ariana grande

Song suggestion: Sweater Weather or POV by Ariana Grande

The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?

Answers

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

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