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 a triangle are 17 ft and 22 ft. Find the possible lengths of the third side.

Answers

Answer 1

Answer:

Any c answer that fits 5 <c<37 is correct.

Step-by-step explanation:

Say the three sides of the triangle are  

a

,

b

and  

c

. Here,  

a

=

16

and  

b

=

21

. We must find the possible values of  

c

.

Since  

a

+

c

>

b

, we can input:

16

+

c

>

21

c

>

5

.

So the lower bound of  

c

is everything above  

5

.

We also know that  

a

+

b

>

c

. Inputting:

16

+

21

>

c

37

>

c

.

So  

c

must be less than, but not including  

37

.

In conclusion, the side length  

c

must satisfy the following inequality:

Answer 2

Answer:

The answer C

Step-by-step explanation:


Related Questions

please answer the question

Answers

C because i somehow have the question also...

Answer:

230 2/3 ft

Step-by-step explanation:

Perimeter means add all four sides together

60 5/6 + 54 1/3 + 56 1/6 + 59 1/3

First convert these numbers into improper fractions (it makes adding them together easier)

To convert mixed numbers into improper fractions we multiply the whole number by the denominator and add the numerator (whole number × denominator + numerator)

365/6 + 163/3 + 337/6 + 178/3

To add fractions together they must have a common denominator

A common denominator of 3 and 6 is 6 because 3 × 2 = 6 and 6 × 1 = 6. If we multiply the denominator, then we must also multiply the numerator by the same number

(365/6 × 1/1) + (163/3 × 2/2) + (337/6 × 1/1)+ (178/3 × 2/2)

365/6 + 326/6 + 337/6 + 356/6

Add the numerators together

365 + 326 + 337 + 356 = 1,384

Put the new numerator over the same denominator (6)

1384/6

Both the numerator and denominators are even numbers which means they can be simplified by 2

Divide both the numerator and denominator values by 2

1384 ÷ 2 = 692

6 ÷ 2 = 3

692/3

3 is a prime number so it can no longer be simplified

Now we must convert it back to a mixed number

How many times does 3 evenly go into 692?

If you do long division or use a calculator, you'll notice 692 ÷ 3 = 230.6666666667

Disregarding the decimal values, 230 is how many times 3 goes evenly into 692

230 x/3

Now we must find the numerator

Since 3 evenly fits 230 times, multiply 3 and 230

3 × 230 = 690

This is not 692 so find the difference

692 - 690 = 2

This means the numerator value will be 2

230 2/3 is the answer

Write 2^60 as an exponent with a base of 8

Answers

Answer: 2^60 = 8^20

Step-by-step explanation: 8=2^3

(2^3)^20 Multiply the exponents

2⁶⁰ written as an exponent with a base of 8 is 8²⁰

From the question,

The given expression is 2^60

In order to write this as an exponent with a base of 8,

First, let us write the given exponent properly.

The given exponent can be properly written as 2⁶⁰

Now, to write this as an exponent with a base of 8, we will apply one of the laws of indices

From one of the laws of indices, we have that

xᵃᵇ = (xᵃ)ᵇ

Then,

2⁶⁰ can be expressed as 2³⁽²⁰⁾

That is,

2⁶⁰ = (2³)²⁰

But, = 8

∴ 2⁶⁰ = (2³)²⁰ = 8²⁰

2⁶⁰ = 8²⁰

Hence,  2⁶⁰ written as an exponent with a base of 8 is 8²⁰

Learn more here: https://brainly.com/question/11515733

write 29/7 as a mixed number.

Answers

Answer:

4 1/7

Step-by-step explanation

Basically the line is a division line so it would be 29 divided by 7. The answer would be 4 with one left over. I tried to make that make sence if it doesn't sorry.

Answer:

4 1/7

Step-by-step explanation:

The first thing you want to do is see how many times 29 can go into seven. To do that, review your multiplication facts. We know that 7, 14, 21, 28, and 35 are all multiples of seven. Since 35 is too big, we take the smaller number, 28. 7 times 4 is 28, so we add 4 to the whole numbers and subtract 28 from 29, leaving us with 4 1/7

help please qwq im idek but plz helppp

Answers

Answer:

19

Step-by-step explanation:

38 divided by 2 is 19

Answer:

19 kids

Step-by-step explanation:

38 students

Half used white paper for their cards

38 / 2 = 19

So:

19 kids used white paper, and the other 19 kids used black paper.

Hope this helps!

What can historians say with confidence that happened during the Battle of Lexington?

Answers

Answer: The american revolution was started. Also you posted this under mathematics!

That the American Revolution started.

help giving brainlist

Answers

Answer:

1. Repeating decimal

2. Terminating decimal

3. Rational number

4. irrational number

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. repeating decimal

2. a terminating decimal

3.ratio number

4.irrational number

god bless hope this helps

write 21/4 as a mixed number

Answers

yes it’s 5 1/4
because 4 goes into 21 5 times (5x4=20) so then you have 1 left over.
The answer to this question is 5 1/4

If two different data sets have the same mean, the one with a wider range gives a better representation of its data.

True
False

Answers

Answer:

B/ False.

Step-by-step explanation:

The answer to that is false

3 =2+n/4
show your work please

Answers

Answer:

N = 4

Step-by-step explanation:

I dont know how to show this work.

You basically simplify both sides to find N

And after that you isolate the variable...

Answer:

n = 4

Step-by-step explanation:

We need to make the fraction equal 1, so the equation reads 3 = 2 + 1. To make it 1, n has to be 4 because 4 divided by 4 is 1. We can fact check, too. Just do 3 = 2 + 4/4. 4/4 equals 1. Rewrite it as 3 = 2 + 1, which is obviously correct.

pretty pretty, please

Answers

Answer:

A-(-4,5)

B-(-3,1)

C-(-5,2)

Step-by-step explanation:

A'-(3,1)

B'-(2,5)

C'-(4,4)

Answer:

A-(-4,5)

B-(-3,1)

C-(-5,2)

and

A'-(3,1)

B'-(2,5)

C'-(4,4)

its so u can give her brainliest :)

bye:)

Mai is filling her fish tank. Water flows into the tank at a constant rate.



How many gallons of water will be in the fish tank after 3 minutes?



Do not include units (gallons) in your answer.

explain

Answers

Answer:

Time. Water

Step-by-step explanation:

0.5. 0.8

1. 1.6

3. 4.8

25. 40

Answer:

Time.water

Step-by-step explanation:

Choose the scenario that could be represented by 5/6.

A. 5-yard piece of fabric is cut into 6 sections.
B. A 6 hour drive is divided into 5 different period of driving.
C. A purchase of 5 apples of $6.
D. 6 cups of milk are fed to 5 cats equally.

Answers

Answer:

A

Step-by-step explanation:

___l___l___l___l___l_____

Thats the piece of fabric. Each piece is 5/6yd.

A 5/6 it is 5 yard pieces cut into 6 pieces!

2(3+4y+5)

Thank You <3

Answers

the answer should be 8y+16
2(3+4y+5)
6 +8y+5
11+8y
8y+11

HELLPPP PLEASEEEE!!!!!!
Write the arithmetic sequences that would find the nth term.
Using the formula you created, what is the 15th term?

Answers

Answer is -27
I was going to use the formula but it did not work so I just did -14 everything to a get to the 15th term
PS I am learning this too so hope u get it right
-27 hope this helps you! please mark me brainliest! <3

Caitlin is painting her bedroom. She paints 42 square feet in 23 hour. At this rate, how many square feet can she paint in one hour?
plz heeeeeelp asap

Answers

Answer:

1.83 square feet

Step-by-step explanation:

42/23=1.83

She paints her bedroom at the rate of 1.83 square feet per hour.

Given that,
Caitlin is painting her bedroom. She paints 42 square feet in 23 hours. At this rate, how many square feet can she paint in one hour is to be determined.

What is the rate of change?

The rate of change is defined as the change in value with the rest of the time is called the rate of change.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
She paints 42 square feet in 23 hours.
Area painted = 42 square feet
time = 23 hours
Rate = area painted  / time
         = 42 / 23
         = 1.83

Thus, she paints her bedroom at the rate of 1.83 square feet per hour.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2

Yo can someone help me out

Answers

Answer:

good morning ok so if each pencil is 1 out of 12- 1/12 then there are 12 pencils in the box

The answer would be 12 because each pencil is one out of 12

I need help pleez help meeee

Answers

Answer:

87/200 = 43.5     21/50 = 42/100

Step-by-step explanation:

What you need to do is make the denominator 100 by either multiplying or dividing. so you divide 87 and 200 by 2 to get denominator 100 and get 43.5/100. Then, you multiply 21/50 by 2 to get denominator 100 and get 42/100. Mark as barinliest pls

Answer:

87/200 = 43.5

21/50 =42

Step-by-step explanation:

can someone do this one please?

Answers

Your correct answer is B.


When you start off on B, you go from 2/4, 3/6, and so on. This represents a proportional relationship because both numbers can be divided to get 1/2.

If you can, please reward brainliest
B
I know because I’m different

Need help ASAP with math! Correct answer will get brainliest!!!! And explained more!!!!
Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.


a. from P to Q , 1 of 7.

greater than 1

Equal to 1.

Less than 1.


b. from P to R , 2 of 7.

greater than 1

Equal to 1.

Less than 1.


c. from Q to S , 3 of 7.

equal to 1

Less than 1.

Greater than 1.


d. from Q to R , 4 of 7.

less than 1

Greater than 1.

Equal to 1.


e. from S to P , 5 of 7.

greater than 1

Equal to 1.

Less than 1.


f. from R to P , 6 of 7.

equal to 1

Greater than 1.

Less than 1.


g. from P to S , 7 of 7.

less than 1


Listen to the complete question

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Answers

The scale is 24/9 and the mass is 82/9
Wfefevegrjrvrntbdngnfb

In the same flyer, squid rings are priced at $8.99 for 550 g. What is the unit price per kg?(answer with the entire unit rate - $0.000 / kg rounded to the nearest thousandth leaving spaces as indicated in the example here.)

Answers

Your answer would be 1.634/kg because 8.99/550 = 0.016345455 in grams so in kg it would =1.634 which will be your answer
Hope this helped
Answer:your answer is 1.634

what is 100 times 1 please answer ASAP

Answers

100 times 1 is 100
Anything times 1 is itself

Answer:

100

Step-by-step explanation:100x 1 is all was going to be the same number

Hello! Please help me!!
Let [tex]t(x) = \sqrt{3x+1}[/tex] and [tex]f(x)=5-t(x)[/tex]. What is [tex]t(f(5))[/tex]?

Thank you beforehand!!

Answers

Answer:

10 − 3 x = 2 x + 5 \sqrt{10-3x}=\sqrt{2x+5} 10 −3x =2x+5 square root of, 10, minus, 3, x, end square root, equals, square root of, 2, x, ...

Answer:?

Step-by-step explanation:

An example of an irrational number is ____.
the negative square root of 17
the square root of 16
the negative square root of 9
the square root of 1

Answers

The negative square root of 17
Ans: the negative square root of 17

About how many times bigger is the planet Jupiter compared to Mercury?

Answers

Answer:

Jupiter is About 30× bigger

Step by Step

Their appearance is deceiving — Jupiter far outranks Mercury in every category. It’s about 30 times Mercury’s diameter, and close to six thousand times its mass. 

Jupiter is 30x bigger

The car travels 640 miles in 11 hours what is the average rate of the car?

Answers

Answer:

58.1818181818 rp.

Step-by-step explanation:

Answer:

The rate of the car is 58.1818181818

Step-by-step explanation:

You divide 11 from 640 and you get 58.1818181818

Hope it helps!!

will give brainliest

Answers

Answer:

9 and -45

Step-by-step explanation:

they are whole numbers and integers are positive/negative whole numbers

Answer:

9, square root of 12, square root of -36, and -45

Step-by-step explanation:

They are all whole values meaning that they all do not have decimals and they are not fractions either.

i know a graph repersents a porpotnial fuction if?
i know a table repesents a porpotnial fuction if?
i know a set of orderd pairs repersents a porpotnial fuction if?​

Answers

1- if it goes through the origin

Answer:

Oh my this is so hard

Step-by-step explanation:

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet)...




a. if the bank charges 3.8% interest each year? $__




b. if the bank charges 5.3% interest each year? $__

Answers

Answer: a. $7790
b. $7908
Step-by-step explanation:
A2=A1(e^kt)
A2=7500(e^(.038)(1)=7790
A2=7500(e^(.053)(1)=7908

Steven is 5 years older than Lilith. Charlemaine is 3 years younger than twice Steven’s age

Answers

Step-by-step explanation:

tbh i dont know the exact answer but i think that if you just find stevens age and then subtract 3 from  Charlemaines  age then multiply that and then theres liliths age

well how am i supposed to figure this out if we don’t know stevens age

Cali borrows $2,200 to buy new furniture. If the simple interest rate is 3.5 %, how much interest will she have to pay in 5 years?

Answers

I believe the correct answer is $385

The answer is 385.
3.5% of 2200 = 77 x 5 years = 385
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