A triangle has two sides of length 1 and 14. What is the largest possible whole-number length for the third side?

Answers

Answer 1

Answer:

  14

Step-by-step explanation:

The triangle inequality is usually expressed as ...

  a +b > c

for any permutation of a, b, c.

Here, that would mean ...

  1 + 14 > c

  c < 15

The largest whole-number value that the third side (c) can have is 14.

_____

Additional comments

Some authors write the triangle inequality as ...

  a +b ≥ c

If you use that version, the longest side could be 15. Such a "triangle" would look like a line segment, and have zero area.

__

We can also check the shortest length:

  c +1 > 14

  c > 13

The smallest whole-number value for the shortest side is also 14. That is, the only triangle with whole-number side lengths of 1 and 14 will be an isosceles triangle with two sides of length 14.


Related Questions

Katherine has 9315 sunflower seeds. She puts 7 seeds in each package. How many full packages of sunflower seeds does Katherine have when she is finished? How many seeds are left over?

Answers

Answer:

1331

Step-by-step explanation:

bc 9315/7 is a decimal so u round up

what is the area for this?

Answers

12.5 (area of triangle) +40 (area of rectangle)=52.5

What is -3.21 - x = 0?

Answers

Answer:

-3.21 - x = 0

-x - 3.21 = 0

x = 3.21

Please help me solve this. its very simple. you will get a lot of points too.

Answers

The equation has one solution and it is x = 91/30

Let's take a glimpse at the solution

[tex]6 + 9( - 3x + 9) = \frac{3}{2} (2x + 4) - 10[/tex]

[tex]6 - 27x + 81 = \frac{3}{2} \times 2(x + 2) - 10[/tex]

[tex]6 - 27x + 81 = 3(x + 2) - 10[/tex]

[tex]6 - 27x + 81 = 3x + 6 - 10[/tex]

[tex] - 27x + 81 = 3x - 10[/tex]

[tex] - 27x - 3x = - 10 - 81[/tex]

[tex] - 30x = - 91[/tex]

[tex]x = \frac{91}{30} [/tex]

A large aquarium of water that holds 225 liters of water is about to be emptied. If the aquarium empties out at a constant rate of 15 liters per minute, how much water will be left in 5 minutes?

Answers

Do 225 divided by 15 and divide 15 by 5 which gives you 3

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

Answers

Step-by-step explanation:

how many -4 are there

Answer:

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

Step-by-step explanation:

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

If the sales tax is 8 percent, the wealthy family pays, to one decimal place, _____ percent of its annual income in sales tax

Answers

Answer:

23

Step-by-step explanation:

trust me this is not the answer I got it wrong hope it helps a little

The length of adult parakeets is normally distributed. If the mean length is 8 inches with a standard deviation of 0.25 inches, what is the probability that a randomly selected adult parakeet will be less than 7.55 inches long?

Answers

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

Mean = 8 inches, standard deviation = 0.25 in, For < 7.55 in:

z = (7.55 - 8) / 0.25 = -1.8

P(z < -1/8) = 0.0395

There is a probability of 3.95% that the randomly selected adult parakeet will be less than 7.55 inches long

Find out more on z score at: https://brainly.com/question/25638875

please help im struggling so much

Answers

Answer:

B. y=-10,250

C. 6 payments

Sorry for my terrible handwriting.. Hope this helps tho! Have a great day/night!

Question:find x in ABC

Answers

Answer:

No answer but give me answer

NEED HELP ASAPP
A car uses fuel at a rate of 15 miles per gallon. Predict how many miles the car can travel on 31.5 gallons of fuel.

Answers

Answer:

472.5 Miles

Step-by-step explanation:

1:15

10:150

20:300

30:450

.5:7.5

30x+1x+5x=450+15+7.5=472.5 miles

A museum sells three types of tickets, including those for seniors, adults, and children. On a Tuesday morning, the museum sells 164 tickets. The number of adult tickets sold was three times as many as senior tickets sold, and the number of child tickets sold was 10 more than the number of adult tickets sold. How many of each type of ticket did the museum sell on Tuesday morning?

Answers

The number of senior, adults and children tickets sold are 22, 76 and 66 respectively.

The museum sells three types of tickets, including those for seniors, adults and children.

On Tuesday morning the  museum sold 164 tickets. Therefore,

Total ticket sold  = 164

Let

x = number of senior ticket sold.

The number of adult tickets sold was three times as many as senior tickets sold.

Equation for adult  ticket sold3x

The number of child tickets sold was 10 more than the number of adult tickets sold. Therefore,

Equation for child ticket sold10 + 3x

Total ticket sold = 3x + 10 + 3x + x

164 = 7x + 10

154 = 7x

x = 154 / 7

x = 22

Therefore,

number of senior ticket sold = 22

number of adult tickets sold = 3 (22) = 66

number of child tickets sold = 10 + 3(22) = 76

learn more on equations here: https://brainly.com/question/1242189

Please help with this question

Answers

Answer:

384π cm³

Step-by-step explanation:

Formula for the volume of a cone is [tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex] where:—

r is radiush is height

Our radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—

[tex]\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}[/tex]

__________________________________________________________

Summary

  Volume (Cone)

[tex]\displaystyle \large{V = \frac{1}{3}\pi r^2 h}[/tex] where:—

h is height or perpendicular.

r is radius.

  Value of Pi (Commonly Used)

[tex]\displaystyle \large{\pi \approx 3.14}[/tex]

__________________________________________________________

If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!

what is the solution of the equations below? x+863+11001

Answers

X + 863 + 11001
X + (863 + 11001)

= X + 11864

What is the solution to the equation x − 15 = − 5?

75

20

− 20

− 75

Answers

Answer:

x=10

Step-by-step explanation:

Given x-15=-5

add both sides by 15

x-15+15=-5+15

x=10

can somone help:) pls

Answers

It should be B because if you add the 3/3 and the 1/3 you get 4/3

What number is 20% of 50

Answers

Answer:

10

Step-by-step explanation:

50*0.2 = 10

Step-by-step explanation:

20%×50

use p% =P

10

200× 50

100

1×5= 50

Answer= 10

Ifm_1= 550, what is m_5?​

Answers

Answe is what is m_5

PLS HELP GIVEING BRANLIEST

Answers

Answer:

25

Step-by-step explanation:

2 to the power of 4 + 16

3 to the power of 2 = 9

so, 16 + 9 is 25...

Step-by-step explanation:

[tex] {2}^{4 + } {3}^{2} [/tex]

=2x2x2x2+3x3

=16+9

=25

what is(12^2)^7*12 as single exponent?

Answers

Answer:

12^15

Step-by-step explanation:

(12^2)^7 would be 12^14 because the two exponents (2 and 7) will multiply each other. Then, you do 12^14 * 12, which would be 12^15 because you are multiplying 12 by itself one more time.

PLS HELPPPPPPP
HELPPP SAVE MY LIFE
Jack has 15 books. In how many ways can he arrange 12 of them on a shelf if a particular book must be on the shelf?

Answers

Answer:

(1 group of 12 books),(6 groups of 2),(2 groups of 6), (4 groups of 3),(3 groups of 4).

( If this is correct please mark me brainly ty (^^)

50 POINTS | What is the minimum range for the value of z? Fill in the blank
__ < z < 17/3

Answers

Both sides are equal

[tex]\\ \rm\longmapsto 4z-6=z+11[/tex]

[tex]\\ \rm\longmapsto 4z-z=17[/tex]

[tex]\\ \rm\longmapsto 3z=17[/tex]

[tex]\\ \rm\longmapsto z=17/3[/tex]

A basketball team scored 50 points in the first game, and 60 in the second game. How many points did the team in the third game if their mean scores for the 3 games was 51 points?

Answers

Answer:

43 points

Step-by-step explanation:

(50 + 60 + x) / 3 = 51

(110 + x) / 3 = 51

110 + x = 153

x = 43

Create a function rule for the situation below.

Answers

Answer:

r=0.05m+24.95

Step-by-step explanation:

5 cents represents the money per mile. The number of miles driven changes, therefore changing the amount of the equation as a whole. The 24.95 is not changing, so it is just added on in the expression.

Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
3600 + p
3600 minus p
3600 p
StartFraction 3600 over p EndFraction PLEASE ASAP

Answers

Answer:

3600/p

Step-by-step explanation:

i think it's the last option because you cannot add or subtract the partners from the profit.

Solve the following word problems using the BUCKS strategy. Remember to show your work.

Pete rented a bike from Bob’s Bikes. It costs $13 plus $5 for every hour. If Pete paid $23, then how many hours did he rent the bike for?

Answers

Answer:

5 is the answer of the question

Answer:

He rent the bike for 2 hours.

Step-by-step explanation:

5x + 13= 23

I honestly just 13+5= 18

Then 18+5= 23

That is how I knew it was 2 hours.

It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.

Are the graphs of the equation 3y = - 4x + 6 and y = - ¾ x - 5 parallel , perpendicular , or neither ?

Answers

Answer:

Step-by-step explanation:

I need help with my khan academy, I don't understand anything and it's hard to do my work..​

Answers

Answer:

(x - 7)² = 9

Step-by-step explanation:

x² - 14x + 40 = 0 ( subtract 40 from both sides )

x² - 14x = - 40

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 7)x + 49 = - 40 + 49

(x - 7)² = 9

Answer:

[tex]\sf (x-\boxed{\bf7}\:)^2=\boxed{\bf9}[/tex]

Step-by-step explanation:

First of all, let's move the constant term to the right side of the equation:-

[tex]\sf x^{2} -14=-40[/tex]

To complete the square we'll take half of the coefficient of our x term, square it, and add it to both sides of the equation. Since the coefficient of our x term is -14 ,half of it would be -7 and squaring it gives us 49.

[tex]\sf x^2-14x+49=-40+49[/tex]

Now, we can rewrite the left side of the equation as a squared term.

[tex]\sf (x-7)^2=9[/tex]

_____________________

Hope this helps!

Have a great day!

Avery weights his pet cat every month. The table shows how much the cat's weight changed each month for 3 months. What is the total change in the cat's weight for all 3 months. (PLEASE HELP)

Answers

Answer:

0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!

Step-by-step explanation:

2. Find the circumference?

I need help I don’t know if that is the right answer

Answers

Answer:

50.24cm

Step-by-step explanation:

Yes, you got it right. The formula for circumference is pi times diameter, so 3.14x16=50.24. Hope this helps <3!

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