A triangle has two sides of length 18 and 4. What is the smallest possible whole-number length for the third side?

Answers

Answer 1
Answer:  15

==================================================

Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

Answer 2

Answer:15

Step-by-step explanation: i got it right


Related Questions


Find the rate of change from the table.

Answers

Answer:   15

==================================================

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

9.
Find the slope of the line.



A. -1/4

B. 4

C. 1/4

D. -4

Answers

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

Answer:

A. -1/4

Step-by-step explanation:

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

Find the mean absolute deviation. Round to the nearest tenth.

Answers

1.5
Lololoolooklooloollooloollooll

Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month, what will her monthly bill come to?

Answers

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.

How much would my grade go down?

PLEASE HELP ME

Answers

Answer:

you got 21.5/50 on final grade

and aslo follow me for more information

pls help
pls show handwritten work
with full explanation
thank you
and this is factorise​

Answers

Answer:

This may help you

look it once.

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Question 1 :

[tex] \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)[/tex]

_____________________________

[tex]\small a⁴b⁴ + 1 + a²b² - c² + 2abc[/tex]

[tex]\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc[/tex]

[tex]\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc [/tex]

[tex]\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - (a²b² + c² - 2abc)[/tex]

[tex]\small(a²b² + 1)² - (ab - c)²[/tex]

[tex]\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Dinner at olive garden cost $52.37. You Leave a 20% tip, What is the total cost

Answers

Answer:

62.84

Step-by-step explanation:

52.37 times 1.20(how you calculate tip) =62.84

Answer:

$62.84

Step-by-step explanation:

Tip is $10.47 add that with 52.37

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.

P + 3.89 = 19.74
Have a good weekend

Answers

Answer:

15.85

Step-by-step explanation:

P + 3.89 = 19.74

Subtract 3.89 from both sides to isolate the variable.

P = 15.85

Karl bought ​ 3 1/2 ​ gallons of milk that cost $2.70 per gallon.What was the total cost of the milk?

Answers

Answer:

The answer is 9.45

Step-by-step explanation:

2.7*3.5=9.45

In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?

Answers

Answer:

D’(-1,-2)

Step-by-step explanation:

Left = x -2 = 1-2 = -1

down = y-5 = 3-5 = -2

What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°​

Answers

Answer:

Option 2 : m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

Lets find the measure of angle 2 first:

180° - 17.3° - (180° - 121.8°) = Angle 2

                             ↑

             Angle of the straight line = 180°

             The angle should be 180 - 121.8

Angle 2 = 104.5

At this point the only answer that works is the second option, but let's still work out Angle 1

Angle 1 :

Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle

in this case:

Angle 1 + 37.1 = Angle 2

Since we know angle 2 = 104.5, lets solve

Lets say angle 1 = x

x + 37.1 = 104.5

x = 104.5 - 37.1

x = 67.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To find:-

The measures of 1 and 2.

Solution:-

[tex]{\boxed{\mathcal{\red{Angle\: 1 \:=\: 67.4° \:}}}}[/tex]✅

[tex]{\boxed{\mathcal{\red{Angle\: 2\:=\:104.5° \:}}}}[/tex]✅

Step-by-step explanation:-

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

x + 121.8° = 180°

x = 180° - 121.8°

x = 58.2°

Now,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

∠ 2 + 17.3° + 58.2° = 180°

➪ ∠ 2 + 75.5° = 180°

➪ ∠ 2 = 180° - 75.5°

➪ ∠ 2 = 104.5°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:2\:is\:104.5°.}[/tex]

Again,

[tex]\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

2 + y = 180°

104.5° + y = 180°

y = 180° - 104.5°

y = 75.5°

Finally, we have

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

⇢  1 + 75.5° + 37.1° = 180°

⇢  1 + 112.6° = 180°

⇢  1 = 180° - 112.6°

⇢  1 = 67.4°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:1\:is\:67.4°.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

What type of transformation does the image below depict?
two triangles on a cartesian plane with an arrow in between
translation
dilation
rotation
reflection

Answers

Answer:

Rotation

Step-by-step explanation:

follow v.sauce.memes on ig

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5

Wich function has the greatest rate change.

Answers

Answer: A

Step-by-step explanation: A has the greatest rate of change because it moves 5 spaces up and one right while B moves 3 spaces and C moves 4 spaces.


Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).​

Answers

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.

Will mark Brainlyist I need help ASAP

Answers

1. 3cm ,M is the midpoint
2. ND , 3cm,
3. BC, According to the diagram
4. 12 Cm

What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?

Enter your answer by filling in the boxes.

Answers

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

Determine the slope from the given graph below:

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

a 420$ dressed is 20% off, how much is the sales price?

Answers

Answer:

$336

Step-by-step explanation:

420 x 0.2 = 84

420 - 84 = 336

Answer:

the answer is going to be $336

what is the unit rate of 2250 pencils in 18 boxes

Answers

Answer:

184

Step-by-step explanation:

i did it this on a test a while back

Answer: 125 Pencils per Box

Step-by-step explanation:

This is a fraction equal to

2250 Pencils ÷ 18 Boxes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 18

2250 Pencils ÷ 18

18 Boxes ÷ 18

=  

125 Pencils

1 Box

=  

125 Pencils

Box

= 125 Pencils per Box

Select all expressions whose value is negative. A. - B. C. -15 D. (-8) ) E. (- 8) (- 10
help pls!​

Answers

Answer:

A, B, D

Step-by-step explanation:

neg * pos = neg

neg * neg = pos

neg / pos = neg

neg / neg = pos

Ned and Jack are each saving money for a new smartphone. Ned initially has $65 and plans to save $5.50 per week. Jack does not have any money saved yet, but he plans to save $8.75 per week. Let x=# weeks and y=amount of money saved.

Answers

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

What is 10x5721? This is for my math homework.

Answers

Answer: Seriously? It’s 57210

Step-by-step explanation:

Answer:

on the contray please help me with one of the questions idc which one

Step-by-step explanation:

answer is 57210

I suck at math and need help

Answers

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

= 3 + 5i

the answer is B. 3+5i

A scuba diver dove 313 feet below sea level then rose 26 feet?

Answers

Answer:

I think the answer would be 287?

Step-by-step explanation:

287 is the answer

313 - 26 = 287

Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?

Answers

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

What is a quadratic equation?

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

Read more on quadratic functions here: brainly.com/question/14201243

#SPJ1

PLEASE HELP DUE TODAYY

Answers

Answer:

y <= 0

Step-by-step explanation:

it's shaded when the value of y is 0 or below 0 (the vertical axis)

Below the line is shaded so it would have to be one of the less than or equal to answer choices. There is nothing above 0 and x is infinity. Therefore the answer is Y is less than or equal to zero

Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet

Answers

where’s the two right rectangular prisms?

Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years?

Answers

Answer:

betch Corvette Corvette hop 9n a coloor

Answer:

If the money isnt compounded i dont think he would make anything. Could you repost the question multiple choice?

Other Questions
The Pyramid arena is 321 feet tall and has a square base of sides 591 feet. Find the volume of pyramid. A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is? X= [3 -5] Y= [6 7] [-4 2]. [-4 -3] calculate X+Y What was AZTECS governmental structure?Report if wrong, BRAINLIST if correct ILL GIVE BRAINLIEST!! Which statement best identifies the central idea of the text?A.Few prisoners were subjected to death marches, as Allied troops were able tointervene during the evacuations.B.Toward the end of the war, some concentration camp prisoners were able toescape the SS during evacuations.C.The frequent transportation of concentration camp prisoners was done toconfuse and discourage Allied forces.D. Evacuations of concentration camps became known as death marches that leto the brutal deaths of thousands of people. What are the three kinds of climate data that scientists can measure directly? Find the length of the unknown side. Round your answer to the nearest tenth. The inverse of y = e^x Identify the propaganda technique defined in each number. ______________1. It lets you do something because everybody does it. ______________2. It uses famous people to promote someone or something without him/her saying something about the product ______________3. It uses a simple or normal person to convince us to support someone or something. ______________4. It uses the testimony of a famous person or a celebrity to convince you to buy or do something. ______________5. It gives positive information for your own point of view but none of the positive things on your opponent. [ please answer ] Help with English Help help What value would be placed in the space shown to create a perfect square trinomial? 25 facts about aidsThe Age of AIDS Isaac saw a video game on sale for a 25% discount. The amount of discount is $4. What is the regular price of the video game Whats the solution for this? EVALUATIONIdentify the word/words being described in the following statements. Choosethe letter of the correct answer by encircling it.1. It uses words which are formal, standard and impersonal.A. academic writingB. creative writingC. literary writingD. journalistic2. It is a type of writing that uses images and descriptions.A. academic writingB. creative writingC. literary writingD. journalistic3. It is a feature where facts and figures are precise.A. formalityB. precisionC. organizationD. hedgin4. It is a feature of academic writing which is about being well planned.A. planningB. formalityC. hedgingD. complexity5. The writer must provide evidence and justification.A. organizationB. precisionC. planningD. responsibility6. It should be more complex, lexically denser and written texts are shorter.A. accuracyB. explicitnessC. formalityD. complexity7. It is NOT about author's personal issues.A. formalityB complexityC. objectivityD. explicitness8. The essay must avoid colloquial words,A complexityB. precisionC. formalityD. hedging9. The words must be accurate,A. responsibilityB. planningC. organizationD. accuracy10. The ability of the author to make the texts clear to the reader.A. explicitnessB. accuracyC. precisionD. formality11. There is a good flow of the text.A. formalityB. organizationC. precisionD. hedging12. The author must make necessary decision in instancing particularsubjectA. hedgingB. precisionC. responsibilityD. accuracy13. It is a distinct section of academic paper wherein you must grab thereader's attention and identify the thesis of the paper,A. introductionB. bodyD. conclusion14. This is the main part of the work and the paragraphs must be clearlywritten and be arranged in a logical order like chronologically or in orderof importance.A. introductionB. bodyC. accuracyD. conclusion15. It consists of one paragraph which shows the final conclusion to thereader.A. introductionD. conclusionC. accuracyB. body Why is water often used as the main ingredient in cosmetics? Drag each tile to the correct box.Match the sentence to the correct type of logical fallacy. Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jasons tool shed? *Urgent! Please Help!*Cambia los verbos para expresar acciones pendientes. Congugate the verbs in the parenthesis. -Yo (pensar estudiar) esta noche. -Mi amiga y yo (querer viajar) a la playa.-Ellos (ir a visitar) las ruinas cuando vayan de vacaciones. -Nosotros (tener que obtener) el pasaporte antes de (ir) a otro pas. -T (pensar salir) temprano. -Miguel (querer aprender) a bailar el tango.