Can the sides of a triangle have lengths 1, 10, and 20?
yes

OR
no

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Given the following question

In order to prove if three lengths can create a triangle two of the three sides added together HAS to be greater than the third side.

[tex]a+b > c[/tex]
[tex]1+10=11[/tex]
[tex]11 < 20[/tex]

Which means your answer is "no," the given sides cannot create a triangle for they do not pass the Triangle Inequality Theorem.

Hope this helps.

Answer 2

Solution:

We know that:

Given side lengths of triangle: 1 unit, 10 units, and 20 unitsThe sum of two sides must be greater than the third.

Verification:

10 + 20 > 1 ⇒ 30 > 1 (True)20 + 1 > 10 ⇒ 21 > 1 (True)1 + 10 > 20 ⇒ 11 > 20 (False)

Conclusion:

The given side lengths cannot be a triangle.


Related Questions

Select the corn Which function does this graph represent? y 3 N 1 -3 -21 -1 1 3 N E 1 2​

Answers

Answer:

ml

Step-by-step explanation:

pag dawload Gani og ml nana nanam na answer

A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.

Answers

Answer:

volume = 450 mm³

Step-by-step explanation:

Given:

height = 18 mmarea of base = 25 mm²

Volume of a rectangular prism = area of base x height

⇒ volume = 25 x 18 = 450 mm³

C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If 20 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.

Please explain!

Answers

The following information about the mean and standard deviation has been provided:

ц=25, б=3,n=20

We need to compute Pr(X⁻≥26.3).

The corresponding z-value needed to be computed is:

[tex]Z=\frac{X-u}{o/\sqrt{n} } =\frac{26.3-25}{3/\sqrt{20} }=1.9379[/tex]

Therefor, we get that

[tex]Pr(X\geq 26.3)=Pr(Z\geq \frac{26.3-25}{3/\sqrt{20} } )=Pr(Z\geq 1.9379)\\=1-0.9737=0.026[/tex]

4. Brandy drives 500 miles each month. Her MPG is 18.1. If gas is $2.49 per gallon, how much does she spend on gas each month?
Ο $67.50
O $11.15
Ο Ο Ο Ο
Ο $60.78
Ο $68.78

Answers

The answer to the question is 68.78.

How nice are your teachers 1-20

Answers

Answer:

69

Step-by-step explanation:

A certain number when divided by 4 gives a remainder 3.The same number when divided by 3 gives a remainder of two.Which of the following can be the number?​

Answers

Answer:

2

Step-by-step explanation:

let n=4q+3

then 2n =8q+6

=4(2q+1)+2

If a number is raised to a power of 2, It Is

Answers

Answer: a square i think

Step-by-step explanation:

because you multiply the number by itself, you're squaring it.

Because your multiply the number by itself, you’re squaring it.

pls help I don't get it

Answers

[They got it, putting this here so it stops showing up as unanswered]

100 POINTS!!!!

Mai's gross pay is $6,476. How much of her gross pay will be deducted for FICA taxes? (The social security tax rate is 6.2% and the medicare tax rate is 1.45%)

SHOW WORK FOR 100 POINTS!

Answers

Total tax:-

6.2+1.45=7.65%

Now we need 7.65% of Gross pay

[tex]\\ \rm\Rrightarrow 7.65\%\:of\:6476[/tex]

[tex]\\ \rm\Rrightarrow 0.0765(6476)[/tex]

[tex]\\ \rm\Rrightarrow 495.4\$[/tex]

Please help…. Will mark brainliest plus 50 points!!!!

Answers

Answer:

k = 3

Step-by-step explanation:

Expanding the first term, we find 1/x at 10(kx)²(1/x)³ = 10k²/x

Expanding the first term, we find 1/x at 8*1⁷(-2/x)¹ = -16/x

Then

10k² - 16 = 74

k = 3

Please help! The interest rate on a five year $8000 loan is 3%. Use the formula A=P*I^t, where P is the principle, I is the interest, and t is the term.

Answers

7through 1 obviously hope this helped

The sales tax rate is 7.5%. What is the tax on a $12.40 purchase?

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.5\% of 12.40}}{\left( \cfrac{7.5}{100} \right)12.40}\implies 0.93[/tex]

Answer:

$0.93

Step-by-step explanation:

1) Turn 7.5% into a decimal which is 0.075

2) Multiply :

0.075 * 12.40 = $0.93 tax on the purchase

Second Part if you need to add :

1) Add :

$12.40 + 0.93 = $13.33

solve for x
6/15 = 3/x

Answers

Cross multiply so 6x=15•3 so 6x = 45 and so
x = 45/6 = 15/2

Answer:

7.5 or 15/2

Step-by-step explanation :

please show steps it help help alot

Answers

The Answer is in the attached file, I'm sorry if I can't write it on laptop, hope this helps man! :) and tell me if it's correct or wrong when your teacher see's it.

PLEASE ANSWER I HAVE 5 MINS
WILL MARK BRAINLIEST IF CORRECT (PICTURE)

Answers

Answer:

Step-by-step explanation:

A = l × W

A = 4 × 2.5

A = 10 ft squared  

a) Work out the size of angle x.
b) Give reasons for your answer.
105°

Answers

Answer:

m∠x = 75°

Step-by-step explanation:

m∠x and m∠F are corresponding angles.

As lines AD and EH are parallel, m∠x = m∠F

m∠F and 105° form a linear pair

⇒ m∠F + 105° = 180°

⇒ m∠F = 180° -  105° = 75°

As m∠x = m∠F,

⇒ m∠x = 75°

The length of time (T)in seconds it takes the pendulum of a clock to swing through one complete cycle is given by the formula

T=2π√L/32
Where L is the length, in feet, of the pendulum, and π is approximately 22/7. How long must the pendulum be if one complete cycle takes 6 seconds?

Answers

Answer:

T = 2 pi sqrt (L/g)

g = 32 ft/s2

here

2 = 2 (22/7) sqrt (L/32)

sqrt (L/32) = 7/22

L/32 = 49/484

L = 3.24 ft

check by hanging a weight from a 3' 3" string

Step-by-step explanation:

what integers are closet to the number 95

Answers

Answer:

94 and 96

Step-by-step explanation:

the closet to the numbers 95

The diagram below shows the floor plan for a new restaurant at the mall. Three of the corners are right angles. What is the perimeter of the floor plan? 182 feet 182 feet 194 feet 194 feet 200 feet 200 feet 213 feet

Answers

Answer:

add a diagram next time

Step-by-step explanation:

we could've helped if you did

Diffusion is the movement of a substance
a.only in liquids.
b. through only a lipid bilayer.
c. down its concentration gradient.
d. against its concentration gradient.

Answers

Answer:

A

Step-by-step explanation: not sure how i can explain it but im pretty sure that is correct, theres not really an explanation as much as thats just how it is if you understand.

a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.

Answers

A: -2
B: slope is 2/5. y-intercept is 2.
C: 2.5
D: y= -7x-2

Is escrow used for recurring or nonrecurring fees?

Answers

Answer:

I believe nonrecurring.

Step-by-step explanation:

If you havent already answered it I hope this helps :)

i need help with one question ummm but can u pwease help me?

Answers

Answer:

31 days BRAINLIEST

Step-by-step explanation:

7x4+3=31

7 days in week

Answer:

31 days

Step-by-step explanation:

1 week = 7 days

2 weeks = 14 days

3 weeks = 21 days

4 weeks = 28 days

28 days + 3 days = 31 days (1 standard month and 1 day)

a pet supply company makes a small bag that holds 2 pounds of dog food.they want to make a bag for large dogs that holds 40 pounds of dog food. by approximately what scale factor will the surface area of the bag increase? round your answer to the nearest tenth

Answers

1/3/4 tenths approximately increased tenths

What are two problems that could occur with a title?

Answers

Step-by-step explanation:

Some of these common title issues are:Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Undiscovered encumbrances. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Undiscovered encumbrances. ...Unknown easements. ...Some of these common title issues are:Errors in public records. To err is human, but when it affects your homeownership rights, those mistakes can be devastating. ...Unknown liens. ...Illegal deeds. ...Missing heirs. ...Forgeries. ...Undiscovered encumbrances. ...Unknown easements. ...Boundary/survey disputes.

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. Select all the equations that describe this situation. Group of answer choices 3x = 14 x + 3 =14 x = 14 -3 x = 14/3

Answers

Answer:

x + 3=14

x=14 - 3

Want some more help? With other questions?

Go to Quiz.izz

Write in search bar "OUR Unit 6 Lesson 4"

Click on the first option, (there should be a picture of a meme with a person who is black.

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

What is the value of the expression below -64 5/6

Answers

Answer:

389/6

 

Step-by-step explanation:

thts the answer

To make a cell phone protector, a company uses plastic rectangles 6 centimeters by 10 centimeters. Then squares x centimeters wide are cut from each corner. Use the drop-down menus below to complete statements using words and symbols to describe the area in square centimeters of the remaining plastic.

Answers

Answer:

The area of the remaining plastic is given by the difference:

original area- area of all square cutouts.

60 cm- 4x^2

Step-by-step explanation:

bc i got it right on imagine math

Quadrilateral ABCD is similar to EFGH

Answers

Answer:

m∠A = 60°

m∠G = 100°

m∠D = 40°

m∠F = 360 - 60 - 100 - 40 = 160°

Step-by-step explanation:

m∠A = 60°

m∠G = 100°

m∠D = 40°

m∠F = 160°

The population of a citydecreased from 25,000 to 24,000. Find the decrease percentage,​

Answers

Answer: the percentage decreased is 2%

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

The decreased population of a city from 25,000 to 24,500

Population decreased =25,000−24,500=500

=    500/25000 x 100 = 2%

   

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