A triangle has two sides of length 19 and 3. What is the largest possible whole number length for the third side?

Answers

Answer 1
Answer:  21

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

Explanation:

Consider a triangle with side lengths a,b,c such that a < b < c

a = 3 and b = 19 are the two known sides

Let c be the missing side length

The missing side has the property that...

b-a < c < b+a

19-3 < c < 19+3

16 < c < 22

Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}

So c = 21 is the largest possible third side, where only whole number sides are considered.

We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.

---------------

Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.

Answer 2
Answer: The answer is 21

Related Questions

Give 5 reasons explaining why math is your favorite subject.

Give 5 reasons why you dont like math.

Give 5 areas that math can help you now or in the future.

Answers

Answer:Math is important

Step-by-step explanation:

It could help you get into collage and get a good job and with that you could start your life.

Answer:

1.)

I love working with numbers

I love math because of what a challenge it is

I love math because I can become a engineer

I love math because I can also become a doctor with it

I love math because it is useful

2.)

I don't like math because of the word problems

I don't like math because it sometimes gets too easy

I don't like math because I usually have to help others

I don't like math because people call me a nerd

I don't like math because it makes me explain in words

3.)

when your in the store and it helps you with knowing how much your spending

lets you know about if the discount in the store is really good or bad

helps you with becoming certain things when you grow up

it will help you with most of your jobs

Will help others if you know it, you can share your knowledge

Step-by-step explanation:

brainlist pls :>

Given the points below, find
XY
XY
.
X(-9, 2)
X(−9,2)
and
Y(5, -4)
Y(5,−4)

Answers

Answer:

XY=(-45,-8)

Step-by-step explanation:

XY=(-9,2)(5,-4)

f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).

Answers

Answer:

(f+g)(x) = 3x - 8 -x -4

(f+g)(x) = 2x-12

(f+g)(5) - substitute 5 into x

(f+g)(5) = 2(5)-12

(f+g)(5) = 10-12

(f+g)(5) = -2

Step-by-step explanation:

(-2,-4) and (6,7)
Need help show steps too

Answers

Answer:

Step-by-step explanation:

period

Find the cos of angle c
A.3/5
B.6/5
C.5/3
D.1

Answers

I think the answer would be 3/5

Which statements are correct interpretations of this graph?
Select each correct answer. (multiple choice question)

A. 3 boxes are filled every 4 min.
B. 4 boxes are filled every 3 min.
C. 1.3 boxes are filled per minute.
D. 0.75 boxes are filled per minute.
(Graph down below)

Answers

Answer:

A

Step-by-step explanation:

[tex]\boxed{~ Hello!\; here's\; your \;answer!}[/tex]        

___________________________________________________________

                                                      [tex]\huge\boxed{A.}[/tex]

___________________________________________________________

           

A's Explanation...

The first point given is at 3 and 4. 3 is at "Boxes Filled" While 4 is at "Time (Min)". Therefore, your answer is A, 3 boxes are filled every 4 min.

___________________________________________________________

[tex]\boxed{Hope\;I\;helped!}\\\\\\\boxed{May\;I\;Have\;Brainliest?}\\\\\\\\\huge\boxed{Thanks,\;Plip.}[/tex]

___________________________________________________________

What is the image of (-5, 6) after a reflection over the line y = -2

Answers

Answer:

I'm pretty sure it would be (5,6)

Step-by-step explanation:

Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate

The teacher separated her group of 28 students into 2 groups. One group has 4 more than twice as many students as the other group. How many students are in each group?

Answers

Answer:

one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12


BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?


Answers

Answer:

4

Step-by-step explanation:

The perpendicular slope means opposite reciprocal

opposite: 1/4

reciprocal: 4

Answer:

The slope is undefined

Step-by-step explanation:

Rate me please

Exit ticket help please​

Answers

Answer:

The answer is B

Step-by-step explanation:

I am learning the same thing somehow

3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?

Answers

Step-by-step explanation:

$0.30 because they only sell 30 cents less/more than each other

Harper Hospital treated 423 patients last week who were children, out of a total of 931 patients. The administrator calculates that they had 408 adult patients. Is the administrator's calculation reasonable? Estimate the number of adult patients by rounding the numbers to check the administrator's calculation.

Answers

Answer:

No, the administrator is wrong.

[tex]Adult = 500[/tex]

Step-by-step explanation:

Given

[tex]Total = 931[/tex]

[tex]Children = 423[/tex]

[tex]Adult = 408[/tex]

Solving (a): Is the administrator correct?

No, the administrator is wrong.

This is so because: when the number of children is subtracted from the total patient, the remaining number is not 408

Solving (b): Estimate the number of adults

By rounding up:

[tex]Adult = Total - Children[/tex]

Actual Figures

[tex]Adult = 931 - 423[/tex]

Round up

[tex]Adult = 900 - 400[/tex]

[tex]Adult = 500[/tex] -- approximately

If f(1) = 1, what is f(3)?

Answers

Answer:

would be 3

Step-by-step explanation:

if 1 is 1 ,3 would be 3 ;-;

Given h(x) = 5x - 3. Find h(a + 1).
Given h(x}

Answers

Answer:

5a + 2

Step-by-step explanation:

To find h(a + 1), substitute x = a + 1 into h(x), that is

h(a + 1) = 5(a + 1) - 3

            = 5a + 5 - 3

            = 5a + 2

The answer is 5a+2 your welcome

Express the number 0.00001038 in scientific notation

Answers

if you want .00001038 to be in scientific notation move the decimal place over behind the first number that isn’t a 0 in this case it’s 1 so it should be

1.038 *10^-5

Please help me with this equation. It’s solving systems of equations.

Answers

Moving downstream (with the current), the boat moves at a rate of (252 mi)/(12 h) = 21 mph. Upstream (against the current), it moves at a rate of (252 mi)/(84 h) = 3 mph.

When traveling downstream, the boat's speed is the sum of its own speed in still water and the speed of the current. It's the same going upstream, but the boat and current move in opposite directions. Let b and c denote these speeds, respectively. Then

downstream: b + c = 21 mph

upstream:      b - c = 3 mph

Adding these equations eliminates c and lets us solve for b :

(b + c) + (b - c) = 21 mph + 3 mph

2b = 24 mph

b = 12 mph

Now solve for c :

12 mph + c = 21 mph

c = 9 mph

What the solution for x is in 14+x=3a+ab?

Answers

Answer: a= x+14 /b+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

14 + x = 3a + ab

Solving

14 + x = 3a + ab

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + x = 3a + -14 + ab

Combine like terms: 14 + -14 = 0

0 + x = 3a + -14 + ab

x = 3a + -14 + ab

Reorder the terms:

x = -14 + 3a + ab

Simplifying

x = -14 + 3a + ab

What is the measure of angle a

Answers

Answer:

48

Step-by-step explanation:

42 + 90 = 132

180 - 132 = 48

A nursery owner buys 9 panes of glass to fix some damage to his greenhouse. The 9 panes cost ​$22.05 ​Unfortunately, he breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of​ glass?

Answers

Answer: $9.80

Step-by-step explanation:22.05/9=2.45x4= 9.80

Answer:

$4.30

Step-by-step explanation:

Two panes of glass cost $4.30.

Explanation

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost

$

15.05

, so one pane of glass costs

15.05

÷7∩

$2.15 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass

Answer:

Two panes of glass cost $4.30.

need help pease its due at 11;59pm today explian

Answers

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

⚠️⚠️marking brainliest⚠️⚠️

It’s a math question :((

Answers

Answer:

slope: 3    y-intercept: 9

Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.

28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.

Answer:

slope is 3 and in the blank goes 1. and y intercepts line at y=1

PLease help with this question? I also need an explanation on how you got the answer

Answers

Answer:

25%

Step-by-step explanation:

1. there are 8 triangles

2. 2 twos

3. 2/8

4. 2/8=25%

2\3n = -12 what value of n makes this equation true

Answers

Answer:

-0.055555555555556

Step-by-step explanation:

Write sec 325° in terms of the secant of'a positive acute angle.

Answers

Answer:

sec35°

Step-by-step explanation:

sec325° = sec(360 - 325)° = sec35°

The secant of a positive acute angle of sec 325° = sec 35° = 1.22077

What are Trigonometric Ratios?

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given data ,

The trigonometric ratio is = sec 325°

Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.

And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.

Therefore , sec 325° = sec ( 360° - 35° )

                                  = sec ( 35° )

                                  =1.22077

Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077

To learn more about trigonometric ratio click :

https://brainly.com/question/14910565

#SPJ2

Simplify the expression

Answers

Answer:

B

Step-by-step explanation:

When I graph the inequality symbol > should it be a open or closed
circle on the number line?

Answers

Answer:

It should be open.

Step-by-step explanation:

Hope this helped!

it should be opened i believe

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?

Answers

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

What is the probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

[tex]n=5+2+10+3\\n=20[/tex]

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

[tex]P=\dfrac{3}{20}[/tex]

The probability that Fiona pulls out a marble that is not white is,

[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ2

4. T-Bone's Math teacher requires 6 book
reports the 1st semester. T-Bone has 4
more reports to complete. How many
book reports has T-Bone already
finished?
x - 4 = 6
x + 4 = 6

Answers

Answer:

2

Step-by-step explanation:

6-4=2

20 POINTS PLS ANSWER

Aaron has made a mistake in his work. Circle Aaron’s mistake in the image below.

Answers

Answer: 24 h/ 1 day needs to be circled

Step-by-step explanation:

To cross out the first 1 day and the second, you need to have the last 1 day at the top and 24 hour needs to be on the bottom. (You can see that the h in the answer is at the bottom too.) Good Luck!

Which of the following ratios is not 4:9
8 : 18
12 : 36
20 : 45
16 : 36

Answers

Answer:

I think 12 : 36 I not so sure though

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