A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?

Answers

Answer 1

Answer:

15

Step-by-step explanation:

The conditions for triangle side lengths are:

A + B > C

A + C > B

B + C > A

The reverse is true too, of course:

A < B + C

B < A + C

C < A + B

Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )

With those in mind, if 15 and 1 are A and B:

15 + 1 > C

15 + C > 1

1 + C > 15

And those can be simplified to these:

C < 16

C > -14 ( can be ignored because of the next one)

C > 14

And finally:

14 < C < 16

The largest whole number that fits those requirements is 15.


Related Questions

Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?

Question 11 options:

0≤y≤30

0≤y≤3.5

0≤x≤3.5

0≤x≤30

Answers

Answer:

Step-by-step explanation:

Recall that distance = (rate)(time).  Here the rate is 30 mph and the time 3.5 hr.  The distance traveled is proportional to the time passing by.  The graph of the distance function is a straight line with slope equal to the "rate" named above:

d(x) = (30 mph)x

Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.

HELP I WILL GIVE BRAINLEST

Answers

sin(x) = 1/2 and the angles must be between 0 and 180.

We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.

There are two angles for which the y value on the unit circle outputs 1/2.

To find this other value which is in the second quadrant: 180 - 30 = 150.

The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.

Smaller =  30   Larger = 150.

P.S make sure your calculator is in degree mode.

a box of 15 cookies cost 9 dollars, how much will one cookie cost? khan academy

Answers

you would divide 15 and 9 to get the rate of each cookie. $1.66

Answer:

135. You multiply to get your answer.

Solve 7! (Factorials) please help I suck at math :(

Answers

Answer:

7! = 5040

Step-by-step explanation:

7! is a factorial expression that can be solved as follows:

7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Therefore, 7! = 5040

Write each expression without using exponents.
a.
[tex]5 \frac{2}{3} [/tex]
b.
[tex]4 - \frac { 3}{2} [/tex]

Answers

☆Answer : A.)

5⅔ = ...

= (3 × 5 + 2)/3

= (15 + 2)/3

= 17/3

[tex] \: [/tex]

B.)

4 - 3/2 = ...

= 4 - 1,5

= 2,5 <==> 2½

[tex]5 \frac{2}{3} [/tex]

[tex]=\frac{5 \times 3 + 2}{3} [/tex]

[tex] = \frac{15 + 2}{3} [/tex]

[tex] = \frac{17}{3}[/tex]

[tex]4 - \frac{3}{2} [/tex]

[tex] = \frac{4}{1} - \frac{3}{2} [/tex]

[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]

[tex] = \frac{8}{2} - \frac{3}{2} [/tex]

[tex] = \frac{8 - 3}{2} [/tex]

[tex]= \frac{5}{2}[/tex]

[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]

The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2














2. What would your next step be?

Write your answer in the space below.














3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.

Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6















4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides














5. What would your next step be?

Write your answer in the space below.














6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.

Write your answer in the space below.














7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.

Write your answer in the space below

Answers

Answer:

Below.

Step-by-step explanation:

1. Divide both sides by 2.

2. After dividing both sides by we would have:

x + 14 = 20

The next step would be

Subtract 14 from both sides.

3. 2(x + 14) = 40

x + 14 = 20

x = 20 - 14

x = 6.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6.

if the diagonal of a square is 11.3 what is the perimeter

Answers

Answer:

Step-by-step explanation:

if the diagonal of a square is 11.3 what is the perimeter

from the diagonal we find the area, which can also be found by multiplying diagonal by diagonal divided by two, then we make the square root of the area and find the side, we multiply by four and we have the perimeter

(11.3 * 11.3) : 2 = 63.8 u² (Area)

√63.8 = 7.9 (side)

7.9 * 4 = 31.6u (perimeter)

The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.​

Answers

#1

Cost of 1orange=1200

Cost of 12 oranges:-

[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]

#2

Total cost=32000Cost of one orange=1200

Total oranges

[tex]\\ \sf\longmapsto 32000\div 1200[/tex]

[tex]\\ \sf\longmapsto 2666.6[/tex]

[tex]\\ \sf\longmapsto 2667[/tex]

Please find x and y... I will mark you brainliest

Answers

Answer:

Step-by-step explanation:

Dodoodo

Step-by-step explanation:

x=30 and y=30. I have solve it. See the picture that I have attached.

Consider the equation below.

-5n + 31 - 14n -

5–59 + 31 = –14n – 5

-

Select the equation that has the same solution.

-1 – 22n

20n – 9–1 – 22n = –20n - 9

0

1 = 0.75n + 3.251 = 0.75n + 3.25

In + 2 = −3+ min + 2 =

3 + 1

3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n

Answers

Answer:

-1 - 22m

Step-by-step explanation:

karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now

Answers

Answer:

Karl is 16 and Danny is 12

Step-by-step explanation:

Danny is 12. His brother karl is 16 possibly

. Add the following. Answer in feet and inches. a) (3 ft. 8 in) + (4 ft. 9 in)​

Answers

Answer:

8 ft. 5 in.

Step-by-step explanation:

First, let's change everything to inches

[] 3 ft. 8 in -> 3 * 12 = 36, 36 + 8 = 44 inches

[] 4 ft. 9 in -> 4 * 12 = 48, 48 + 9 = 57 inches

Now, we can add

44 + 57 = 101 inches

Last, we will simplify

101 -> 8 feet and 5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

find the measure indicated angle that makes lines u and v parallel

Answers

Answer:

91°

Step-by-step explanation:

The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:

180°=x+89°

x=180°-89°

x=91°.

Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.

Evaluate the Expression for x=5 and y =3 and z = 1/4

Answers

Answer:

4

Step-by-step explanation:

We start with this:

[tex]\frac{5x-6y +20z}{4yz}[/tex]

Then we insert the vales of the variables like this:

[tex]\frac{5(5)-6(3) +20(\frac{1}{4} )}{4(3)(\frac{1}{4}) }[/tex]

Next, Simplify:

[tex]\frac{25-18 +5}{3 }[/tex]

[tex]\frac{12}{3 }[/tex]

Simplify further, and we get our answer: 4

What angle is congruent to ∠C?

Answers

Step-by-step explanation:

Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.

solve the equation -4x³=32​

Answers

Answer is X=-2 I hope this helps

Answer:

Step-by-step explanation:

- 4x^3 / (- 4) = 32 / (- 4)

x should and cannot be negative or it shouldn't be for example (- x) = 90

cubic root (x^3) = cubic root (- 8)

x = cubic root (- 8)

x = 2i

what is "i"?

It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.

Stossel is listening to an audiobook that at normal speed will last 10 hours. Stossel decides listen the audiobook at 2.5 faster. How long will the book be?

Answers

Answer:

4 hours

Step-by-step explanation:

Speed and time are inverse functions.

At normal speed the time is 10 hours.

If the speed is 2.5 times faster, then time is 2.5 times less:

10 hours / 2.5 = 4 hours

Speed is 2.5

Distance is 10

Time

10/2.510/(25/10)100/254hrs

A unit cube could be 6 units long by 6 units wide by 6 units tall. True or false?

Answers

Answer:

True

Step-by-step explanation:

Why is all the answers on this website saying my work is wrong.

Answers

Answer:

you're wrong

Step-by-step explanation:

should have been "Why are all the answers on this website saying my work is wrong?"

True or false: When testing the difference between two population means it is unlikely that one would know the value of the population variances.

Answers

The answer is True
………

Determine whether the following ratios are equivalent. (9:12 and 24:18)

Answers

0111100109090909099999999999999999

Please help with algebra question on empirical rule!!

Answers

Answer:

Step-by-step explanation:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

What is the value of this expression?

−29−(−13÷35)

Answers

Answer:

-29 13/35

Step-by-step explanation:

The chess team wants to have practice two different days next week from money through friday. How many schedules can be made?

Answers

Answer:

2 schedule

I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday

I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy

Louise spins the spinner twice. Which probabilities are correct? Check all that apply.

Answers

Where are the probabilities?

What property is illustrated in the following equation?

8 + 5 = 5 + ?

Answers

The answer is communitive property.

Answer: 3

Step-by-step explanation: Did it recently.

Jenny played four games of golf. For these games her modal score was 76 and her mean score was 75. Her range of scores was 10. What were her scores for the four games?​

Answers

75 x4=300(total scores)
Modal score is 76, so at least two of the 4 game scores must be 76.
That’s all I’ve got:)

Find the perimeter. Simplify your answer.

Answers

Answer:

20u-26

Step-by-step explanation:

To find the perimeter we have to add up all the sides

9u-6+u-7+9u-6+u-7

Combine light terms and we get

20u-26

I forgot how to do this stuff so please help

Answers

Answer:

116 in

Step-by-step explanation:

Graph a right triangle with the two points forming the hypothenuse, Using the sides, find the distance between the two points, to the nearest tenth if necessary (3. -7) and 8. -3)

Answers

Answer:

That distance is 6.4

Step-by-step explanation:

The legs of the triangle form a right angle.  The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4.  Applying the Pythagorean Theorem:

(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is

4^2 + 5^2 = (hypotenuse)^2

This works out to 16 + 25, or 41.

The distance between these two points is d = √41, or d = 6.4

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