Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side

Answers

Answer 1

Answer:

3cm < Third side < 7cm

Thus third side can take any value between 3cm and 7 cm

(note: excluding 3 cm and 7 cm)

If the value are integral then possible values of third side are

4cm, 5cm,6cm

Step-by-step explanation:

This question can be solved using given by Triangle Inequality Theorem Given below.

Sum of two sides is always greater than value of third sideDifference of two sides is always less than value of third side

Given two sides are 2cm, 5cm

Sum of two sides = (2+5)cm = 7 cm

Difference of two sides = (5-2) = 3 cm

Let the third side be X

thus according to Triangle Inequality Theorem

X <  Sum of two sides of given triangle

X < 7cm  -----1

X > Difference of two sides

X > 3cm  ----1

combining expression 1 and 2 we have

3cm < X < 7cm

Thus third side can take any value between 3cm and 7 cm

(note: excluding 3 cm and 7 cm)

If the value are integral then possible values are

4c, 5cm,6c


Related Questions

Which expression can be used to find the surface area of the following rectangular prism?
A.15+15+10+10+6+6
B.10+6
C.10+10+6+6
D.15+15+10+10+6

Answers

A is the right answer

Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.

Answers

Answer:

[tex]Area=45\pi$ square inches[/tex]

Step-by-step explanation:

The radius, r of the expanding circle of oil is modeled by the function:

[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.

When s=5

Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]

Area of a circle[tex]=\pi r^2[/tex]

Therefore, area of the oil spill when s=5 seconds is:

[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]

The area of the spill when s=5 seconds is 45pi square inches.

A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.

1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!

Answers

Answer:

batch 1

3 cups cashews

batch 2

2/6 or 1/3 cups (simplified) of pistachios

batch 3

1 1/3 cups of almonds

2 cups of cashews

what do I do if thre are 2 middles in a mean

Answers

You add them together and divide that sum by 2

Answer:

If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.

Mark as brainliest please I need a few more :D

Three of the bedrooms in Lana’s house are rectangular, each 101/2 feet by 111/4 feet, What is the least amount of carpeting needed to completely cover the three floors?

Answers

Answer:

The answer is D, or 354 3/8 ft^2

J’ai besoin d’aide pour cette question.
Je vais mettre branliest.

7. Complète le tableau suivant.
A) Un politicien répond à 20 questions en 15 minutes. Il faut le mettre en table de valeurs et en graphique.

Answers

Answer:

tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique

Step-by-step explanation:

J'utilise google translate pour vous aider, IDK

Simplify x 2  − 4x + 4 x 2  − 4

Answers

Look at the attached picture

Hope it will be helpful to you..

Will give brainliest answer

Answers

Answer:

[tex]31.5units^2[/tex]

Step-by-step explanation:

The shape shown above can be split into 2 triangles and 1 rectangle.

The formula for a triangle:

[tex]A=\frac{1}{2} bh[/tex]

The formula for a rectangle:

[tex]A=lw[/tex]

Area of triangle (both have the same lengths so you can just double the area):

[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]

Area of rectangle:

[tex]A=(7)(3)\\A=21[/tex]

Add the individual areas together to get the overall:

5.25 + 5.25 + 21 = 31.5

Please help me with this

Answers

Answer:

no

Step-by-step explanation:

a 13% discount on an item that costs $1150 will cost u $1000.50

tell me if u want work i assumed u wanted a quick answer since its a quiz

Answer: No, you would still need $0.50

Step-by-step explanation:

1150 x 0.13= 149.5

1150-149.5= 1000.5

An equilateral triangle has perimeter 57cm, what is the length of one of the sides?

Answers

Answer:

19 cm

Step-by-step explanation:

An equilateral triangle has all 3 sides the same length

P = 3s where s is the side length

57 = 3s

Divide each side by 3

57/3 = 3s/3

19 =s

A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?

Answers

Answer:

11.76

Step-by-step explanation:

We are given that,

Total number of students = 340

Students that prefer cheese pizza = 40

Students that prefer pepperoni pizza = 28

Thus, we get that,

The proportion of students that prefers cheese pizza =

i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%

Hence, 11.76% of the students prefer cheese pizza.

which equation represents the relationship between x and y shown in the table ?

Answers

the very first one (the very left one)

The equation that represents the relationship between x and y shown in the table is; y= 2x-3

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.  the equations that can be solved to get a unique solution. the power of the equation must be in one degree.

First we need to find the slope we will use rise over run to get 2.

The correct equation will replace x with any of the x values in the chart and if we get the same y values as the chart then that equation is correct.

y= 2x-3

If x = 2 and y = 1

Then

y= 2x-3

1 = 2(2)-3

1= 1

Therefore, The equation that represents the relationship between x and y shown in the table is; y= 2x-3

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!

Answers

Step-by-step explanation:

Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!

Answer: Your eyelids are doing it’s thing.

Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.

Which set of numbers is in order from greatest to least?
o 13,823; 13,328; 13,238; 12,328

13,238; 13,328; 13,823; 12,328

O 13,823; 13,238; 13,328; 12,328

O 12,328:13,238; 13,328; 13,823

Answers

Answer:

A. 13,823; 13,328; 13,238; 12,328

Step-by-step explanation:

Jack wants to buy 30 chocolate chip cookies that are $1.25 each. If sales tax is 7.5%. What will Jack’s total bill be?

Answers

Answer:

which will be about $2.81

Step-by-step explanation:

30 times 1.25 = 37.50

then multiply that by 7.5%

i may be wrong. i am sorry if i am worong

Answer:

$318.75

Step-by-step explanation:

30 cookies x $1.25 = $37.5

37.5 x 7.5% tax = 281.25

37.5 + 281.25 = 318.75

Your teacher is giving away candy from a bag. The bag contains 5 Reese's Peanut
Butter Cups, 4 Snickers, 3 Sour Patch, & 6 Skittles. Find the probability that you and
your friend choose Snickers. Find P(Snickers n Snickers).

Answers

Answer:

P(Snickers n Snickers)  = [tex]\frac{2}{51}[/tex]

Step-by-step explanation:

Given

Bag of candy

5 Reese's Peanut Butter Cups,

4 Snickers

3 Sour Patch

6 Skittles

Required

Calculate P(Snickers n Snickers)

To solve this question, it'll be assumed that you and your friend selected snickers at a consecutive time.

First, we need to calculate the total number of candy

Total = 5 + 4 + 3 + 6

Total = 18 candies

P(Snickers n Snickers) means P(Snickers and Snickers);

i.e. the probability of selecting snicker twice

Number of snickers = 4;

So, the probability of you selecting a snicker first is [tex]\frac{4}{18}[/tex]

This is gotten by dividing number of snickers by total candies.

At this point, there are 4 - 1 snickers left and there are 18 - 1 candies left;

So, the probability of your friend selecting a snicker is [tex]\frac{4 - 1}{18 - 1}[/tex].

So, P(Snickers n Snickers)  = [tex]\frac{4}{18}[/tex] * [tex]\frac{4 - 1}{18 - 1}[/tex]

P(Snickers n Snickers)  = [tex]\frac{4}{18}[/tex] * [tex]\frac{3}{17}[/tex]

P(Snickers n Snickers)  = [tex]\frac{2}{9}[/tex] * [tex]\frac{3}{17}[/tex]

P(Snickers n Snickers)  = [tex]\frac{2}{3}[/tex] * [tex]\frac{1}{17}[/tex]

P(Snickers n Snickers)  = [tex]\frac{2}{51}[/tex]

Hence, the probability of you and your friend choosing snickers is [tex]\frac{2}{51}[/tex]

Please help me find the volume of the triangular prism and the area of the hexagon.

Answers

Step by step it’s -7

un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului. ​

Answers

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

which of the following as the same value as 2^3 a. 5 b. 6 c. 8 d. 23 f. none of the above

Answers

Answer:

8

Step-by-step explanation:

2 x 2 = 4 x 2 = 8

Identify a central angle in the figure.
A)
ZBCD
ZBFC
ZFAE
ZFCO

Answers

Answer:

a is your answer is am correct

A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?

Answers

You’ll need 30,000 honey bees

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0

RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81

Answers

Answer:

is C=64

Step-by-step explanation:

Answer:

c=64

Step-by-step explanation:

I took the test

please help me

f(x) =3x^2 + 2x - 1
what is f(5)

Answers

Answer:

17

Step-by-step explanation:

f(5)=3(5)+2. f(5)=17

Answer:

f(5) = 84

Step-by-step explanation:

f(x) =3x^2 + 2x - 1

what is f(5)

f(5) = 3(5)² + 2(5) - 1

f(5) = 75 + 10 - 1

f(5) = 84

There are six slices of cake left at the end of a party. If that was 2/9 of the total of the cake that the party began with, how many slices were in the cake to begin with? (enter you answer as a number only, no words) *

Answers

Answer:

27

Step-by-step explanation:

6 divided by 2/9=27

What will be the distance from the center of dilation, P, to the
image S'?
2 units
4 units
6 units
8 units

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 units on edge

Step-by-step explanation:

Find the equation (in terms of x) of the line through the points (-3,1) and (5,3)

Answers

Answer:

(y-3)=(1/4)(x-5) or (y-1)=(1/4)(x+3)

Step-by-step explanation:

point slope formula: (y-y1)=m(x-x1)

slope formula: (y2-y1)/(x2-x1)

slope = m

Find the greatest common factor of 6w^3 and 8w.

Answers

Answer:2w

Step-by-step explanation: Find the prime factors of each term in order to find the greatest common factor (GCF).

2w

The value of an antique can be predicted by the expression 250 * (1.12) ^ t where is the number of years since 2014. What does the value 250 represent?

Answers

Answer:

mark brainlyest and I will

The value 250 represents the predicted value of antique in year 2014.

Given Expression,

[tex]250\times(1.12)^{t}[/tex]

Here [tex]t[/tex] represents the no. of years since 2014.

Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.

Hence the value 250 represents the predicted value of antique in year 2014.

For more details on Decay rate problems follow the link:

https://brainly.com/question/8725872

Due to client growth, Dr. Smith must increase his amount of kennel space from
11 kennels to 25 kennels. How many kennels will Dr. Smith need to add to the
clinic?​

Answers

Answer:

14

Step-by-step explanation:

25-11 = 14

PLEASE HELP FAST
Find the volume of a rectangular prism. Iength measures 16 ft, width measures 3 ft, and height measures 2 1/2 feet ​

Answers

Answer:

120 ft ^2

Step-by-step explanation:

Volume= lwh

Volume= 16(3)(2 1/2)

Volume= 120 ft^2

Answer: 120

Step-by-step explanation: 16 x 3 x 2.5 = 120

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