A triangle has two sides of length 2 and 14. What is the largest possible whole-number length for the third side?

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Note that;

The sum of the lengths of 2 sides of a triangle must be greater than but not equal to the length of the third side.

As well as, the third side must be longer than the difference between the greater and the lesser of the other two sides

Given;

First side of the triangle  = 17

Second side of the triangle  = 2

Let us assume the third side of the triangle  = T

Now, In any given triangle:

"Sum of any two sides of a triangle is strictly greater than the third side."

⇒ Sum of first side  +  Sum of second side   > Third Side

  or,     m < 2 + 14

  or,     m  <  16

Hence, the largest possible value for m = 15

~Learn with Lenvy~


Related Questions

Put the following into standard form.

y=1/2x - 9​

Answers

Answer:

x - 2y = 18

Step-by-step explanation:

Amy and Jack have candies in a ratio of 1:3. Together, they have a total of 40 candies. How many candies does Amy have?

Answers

Amy has 10 candies.

Jack has 30 candies.

1 out of 4 is Amy's

3 out of 4 is Jack's

Amy's = 1/4×40=10

Jack's = 3/4×40=30

my question is what is 1.679091 / 67
plsssss help me i need help so bad

Answers

Answer:

0.0250610597014925

Step-by-step explanation:

Which of the following represents a nonlinear function?

Answers

You didn’t list the following, however if the graph of the function isn’t a straight line it is non-linear

Select which option is most appropriate for describing the number line below.

Answers

Answer:

c

Step-by-step explanation:

choose me as brainly-est

Please help me with this!

Answers

Answer:

596

Step-by-step explanation:

plato

Answer:

The answer should be 596.

Step-by-step explanation:

542+54=596.

Please help

Miguel deposits $2000 into a bank account that earns simple interest. He writes the equation A(t) = 2000(1.07) t to represent the value of the account after t years,
Based on Miguel's equation, how long will it take for the account to grow to $5,000?

Answers

Answer:

based on the equation he would make $2.5 in the first month but realistically he would earn around $30 in the first month

Step-by-step explanation:

2000+2000(.015)(1/12)=2002.5

2002.5-2000=2.5

The account balance will take time for the account to grow to $5,000 in 2 years and 4 months.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Miguel deposits $2000 into a bank account that earns simple interest. He writes the equation A(t) = 2000(1.07)t to represent the value of the account after t years.

The account is to grow to $5,000. Then the time will be

5000 = 2000(1.07)t

On simplifying, we have

t = 2.33

It will take for the account to grow to $5,000 in 2 years and 4 months.

More about the simple interest link is given below.

https://brainly.com/question/2793278

Kenny made a scale drawing of a house and its lot. In real life, the front lawn is 10 meters wide. It is 5 centimeters wide in the drawing. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.

Answers

Answer: 1/2

Step-by-step explanation:

Scale factor:

model/real-life = 5/10 = 1/2

I need help with this one too

Answers

Answer:

10 1/2x + 126 sq. feet

Step-by-step explanation:

Area = length × width

length = 12 + x

width = 10 1/2

(12 + x)(10 1/2)

126 + 10 1/2x

The quotient of (x4 – 3x2 4x – 3) and a polynomial is (x2 x – 3). what is the polynomial?

Answers

The polynomials [tex](x^{2} +x-1)[/tex] and [tex](x^{4} -3x^{2} +4x-3)[/tex] has a quotient of[tex](x^{2} +x-3)[/tex]. The polynomial is [tex](x^{2} +x-1)[/tex].

What is Euclid's division lemma?

Euclid's division lemma states that for any positive integers, let's say a and b the condition [tex]\rm a=bq+r[/tex], where [tex]\rm 0\leq r\leq b[/tex].

Mathematically, we can say that

Dividend = divisor × quotient + remainder

P(x) = g(x) × q(x) + r(x)

To find the divisor g(x)

[tex]x^{4} -3x^{2} +4x-3= \rm g(x)\times (x^{2} +x-3) + r(x)\\[/tex]

On dividing P(x) by q(x) we get,

[tex]x^{4} -3x^{2} +4x-3 \div (x^{2} +x-3) = \rm g(x)+0[/tex][tex](x^{2} +x-3) \times (x^{2} +x-1)\div (x^{2} +x-3) = \rm g(x)\\(x^{2} +x-1) = \rm g(x)\\[/tex]

Hence, the polynomials [tex](x^{2} +x-1)[/tex] and [tex](x^{4} -3x^{2} +4x-3)[/tex] has a quotient of [tex](x^{2} +x-3)[/tex]. The polynomial is [tex](x^{2} +x-1)[/tex].

learn more about 'Division of polynomial' here:

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PLEASE HELP!
In the drawing, the symmetries of the sides AB and AC of triangle ABC intersect at point O and <MAN = 84°. Find the magnitude of:
A) <BOC B) <MON​

Answers

Answer:

∠BOC = 96°∠MON = 48°

Step-by-step explanation:

Solve the system of equations algebraically using substitution and elimination

Answers

Answer:

my answer is 2x+ 3y=22 because that the answer

) Supriya makes papadums to sell in her food truck. She uses 12 oz of dough to make each batch.
She has 60 oz of dough and wants to know how many batches she can make.
. Let b equal the number of batches of papadums Supriya can make.
Complete the equation.
(dough for one batch). (number of batches) = (total amount of dough)
b=
?

Answers

The number of batches she can make is = 5 batches

Calculation of total number of batches

The amount of dough used to make each batch = 12oz

The total amount of dough she has= 60oz

Therefore, the number of batches she can make from the total dough available = b

Using the equation:

(dough for one batch) × (number of batches) = (total amount of dough)

which is = 12× b = 60

b= 60/12

b= 5 batches

Learn more about batches here:

https://brainly.com/question/25770607

Select the correct answer.

What is ?
A.
B.
C.
D.

Answers

Answer:

option C

Step-by-step explanation:

|3 1/2| = 3 1/2

the absolute value of 3 1/2 is 3 1/2

In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning.
How will the ratio of roses to tulips change if the florist uses half of each type of flower to fill an order for a wedding?

After the order, the ratio is ____ , _____ which is equivalent to 5:3. The ratio does not change.

Answers

Answer: 120:72

Step-by-step explanation:

tulips: 72/3 = 24

so multiply roses to get an equal ratio, 24 x 5 = 120

Help Yall P1z and thx- Will mark if some one else answers Rate 5 stars and thanks

Answers

Answer:

top and bottom because it math

Step-by-step explanation:

A car requires 15 litres of petrol to travel 200 km.

How much petrol is needed to travel 120 km?

Answers

Answer:

9 litres

Step-by-step explanation:

200 = 15

divide both sides by 200

1 = 0.075

multiply both sides by 120

120 = 9

A train is late arriving into a station.
It should arrive at 5 pm
It arrives at 5.15 pm.

Answers

Step-by-step explanation:

...

...

...............

.......

.

.

....

.

.

Help me please

Mr. Kim randomly divides his class into groups. Each group has 5 students and each group is randomly assigned 1 of 6 projects to do. Which simulation best models the outcomes of the sets up?


A rolling 2 number cubes, each with the numbers 1-6 on it

B. spinning a spinner divided into 5 equal sections, and flipping a coin 3 times

C.flipping a coin 5 times, and spinning a spinner divided into 6 equal sections

D. drawing 1 of 5 numbered papers out of a bag, and rolling a number cube with the numbers 1-6 on it one time

Answers

Answer:

D

Step-by-step explanation:

Because neither Mr. Kim nor anyone else is picking the people of a specific group when the paper is drawn from the bag. And rolling a cube with numbers 1-6 you almost never get the number you want so it is really random. And then after the groups are picked they roll the die and then that number is crossed off so it is not used again with the other groups.

In "The Emperor's New Clothes" what does the opening tell you about the narrator?
A. second person narrator
B. third person narrator
C. no narrator
D. first person narrator
Please help me

Answers

Answer: it is first person well it should be

Step-by-step explanation:

In "The Emperor's New Clothes" no narrator does the opening tell you about the narrator. Correct option is c.

In "The Emperor's New Clothes," the opening doesn't provide direct information about the narrator's perspective. The opening typically sets the scene and introduces the main characters and setting. As a result, it does not clearly indicate the narrator's point of view.

Therefore, the correct answer would be:

C. no narrator

In some versions of the story, there may be a narrator providing the context or guiding the reader, but in the traditional fairy tale version, the story is usually presented without a specific narrator.

To know more about Emperor's:

https://brainly.com/question/28148656

#SPJ2

construct a rectangle with length twice the width and width equal to r.

Answers

Steps provided below .

Take a scale and measure rNow find 2rConstruct two parallel and vertical lines of length rNow construct two adjacent parallel lines of length 2r

Answer:

Properties of a rectangle:

2 pairs of parallel sidesParallel sides are of equal lengthAll interior angles are 90° (right angles)Each side is perpendicular (at a right angle) to its adjacent side

Given:

width of rectangle = rlength of rectangle = twice width = 2 × r = 2r

See attached for image if the rectangle

mary needs 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the garden if the length is 8 ft more than the width

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

Mary needs 50 ft of fence to protect her rectangular garden from squirrel The length of the garden is 8 ft more than the width

To Find :-

We have to find the length and breath of the rectangular garden

Let's Begin :-

Mary needs 50ft of fence to protect her rectangular garden from squirrel

Therefore,

We can conclude that

The perimeter of the rectangular garden

[tex]\bold{ = 50\: ft}[/tex]

We know that,

Perimeter of the rectangle

[tex]\sf{ = 2( Length + Breath) }[/tex]

Here, we have Length of the garden that is 8ft more than the width

Let assume the width of the garden be x

According to the question

[tex]\sf{ Perimeter\:of\:rectangle = 2( x + 8 + x) }[/tex]

[tex]\sf{ 50 = 2( x + 8 + x) }[/tex]

[tex]\sf{ 50 = 2( 2x + 8)}[/tex]

[tex]\sf{ 50 = 4x + 16}[/tex]

[tex]\sf{ 50 - 16 = 4x }[/tex]

[tex]\sf{ 34 = 4x }[/tex]

[tex]\sf{ x = }{\sf{\dfrac{34}{4}}}[/tex]

[tex]\sf{ x = 8.5 }[/tex]

Thus, The breath of the garden is 8.5 ft

Therefore,

The length of the garden

[tex]\sf{ = x + 8}[/tex]

[tex]\sf{ = 8.5 + 8}[/tex]

[tex]\sf{ = 16.5\: ft }[/tex]

Hence, The length and breath of the rectangle are 8.5ft and 16.5ft .

Given :

Mary needs 50 ft of fence to protect her rectangular garden from squirrels.

The length is 8 ft more than the width of the garden.

To Find :

The dimensions of the garden.

Solution :

Let us assume the length of the garden as x ft and therefore, the width will become (x - 8) ft.

We know that,

[tex]\qquad{ \sf{ \pmb{2(Length + Width ) = Perimeter_{(rectangle)}}}}[/tex]

Substituting the values in the formula :

[tex]{ \dashrightarrow\qquad{ \sf{2(x + x - 8 ) = 50}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{2(2x- 8 ) = 50}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{4x- 16 = 50}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{4x = 50 + 16}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{x = \dfrac{66}{4} }}}[/tex]

[tex]{ \dashrightarrow\qquad{ \bf{x = 16.5}}}[/tex]

Therefore,

The Length of the garden is 16.5 ft .

[tex]{ \dashrightarrow\qquad{ \sf{Width_{(Garden)} = x - 8}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \sf{Width_{(Garden)} = 16.5 - 8}}}[/tex]

[tex]{ \dashrightarrow\qquad{ \bf{Width_{(Garden)} = 8.5}}}[/tex]

Therefore,

The Width of the garden is 8.5 ft .

Hence,

The dimensions of the rectangular garden is 16.5 ft and 8.5 ft.

What is the value of b in the equation y = mx + b if the slope is 5 and we have one ordered pair (2, 3)?

Answers

Step-by-step explanation:

the slope is always the factor of x.

so, m = 5.

to get b we use the point coordinates as x and y values :

3 = 5×2 + b

3 = 10 + b

b = -7

A boat heading out to sea starts out at Point AA, at a horizontal distance of 1206 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 9^{\circ} ∘. At some later time, the crew measures the angle of elevation from point BB to be 4^{\circ} ∘. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary

Answers

Answer:

1525.6

Step-by-step explanation:

50 points HELPP QUICK which picture shows the line of reflection?

Answers

Answer:

D

Step-by-step explanation:

it reflects

Answer:

D

Step-by-step explanation:

i think the answer is D.it is just guess

Question 10 of 40
Factor this polynomial completely.
x² - 81
O A. (x-2)(x - 9)
B. (x - 81)(x - 81)
C. (x+81)(x - 81)
O D. (x + 9)(x-9)

Answers

Answer:

D) (x + 9)(x-9)

Step-by-step explanation:

[tex]x^2-81[/tex]

Let's Rewrite 81 as → 9^2

[tex]x^2-9^2[/tex]

Now, apply difference two squares formula

[tex]\left(x+9\right)\left(x-9\right)[/tex]

~

Janelle plans to paint her bedroom, which is the shape of a
rectangular prism. Its length is 10 feet, its width is 12 feet, and the
ceilings are 9 feet tall. She does not need to paint the floor or ceiling. How many square feet of wall space will she be covering?

Answers

Answer:

31 us the answer but I am not sure about the answer

Help me I need the answer for this problem

Answers

Answer:

17.5 sq. in.

Step-by-step explanation:

3.5 in(5 in) =

17.5 sq. in.

I'm attracted to the same gender
and don't know how to tell my parents. What are some suggestions

Answers

i dont know. give it in a humorous way? a direct way? indirectly?

but first ask subtly about how they feel about it before you go do anything

7 divided by 89019 long division please answer

Answers

1 2 7 1 7

7 8 9 0 1 9

- 7

1 9

- 1 4

5 0

- 4 9

1 1

-  7

4 9

- 4 9

0

Your answer is 12,717 with a remainder of 0.

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