The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.

How many such kinds of triangles is it possible? Find the probability of randomly chosen triangle is isosceles but not equilateral.

Answers

Answer 1

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1


Related Questions

Solve.
8/21=3x/7
What does X equal?

Answers

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Tim's mother has $24 left after buying school supplies. The next day she earns $232. She then divides all of the money equally among Tim and his 3 sisters. How much money does Tim have?

Answers

Answer:

Tim has 64 dollars. I did the math and I know I'm right

=$64
$24 + $232 = $256
$256 divide 4 people= $64

[tex]3 5/6 - 1/6[/tex]

Answers

Answer:

5.83333333333

Step-by-step explanation:

Answer:

17/3

Step-by-step explanation:

Since the denominators are both 6 we can go ahead and subtract it and after you do that you get 17/3.

Hope this helps, Plus Aizawa is here!

need answer for sin A please

Answers

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]

Keisha and Justin rappel down the side of a cliff. Keisha is at a position −45 feet from the top of the cliff. Justin is at a position −39 feet from the top of the cliff. Which of the following best compares their positions?
A.Keisha's position is lower than Justin's position because − 45 < − 39
.B.Keisha's position is lower than Justin's position because − 45 > − 39.
C.Justin's position is lower than Keisha's position because − 45 < − 39
.D.Justin's position is lower than Keisha's position because − 45 > − 39.

Answers

Answer:

b -45 is lower that -39 feet    at -45 > - 39

Step-by-step explanation:

help please i’m confused and I didn’t really have much time on this unit

Answers

Answer:

the answer is B

Step-by-step explanation:

because it is in the form ax^2+bx+c

If O is the center of the circle and mZABC = 30°, what is the measure of BDC? D B A C mZBDC = [?] degrees​

Answers

Answer:

60

Step-by-step explanation:

ABC is OBC:30

180-90-30=60

Answer:

angle BDC=60°

stay safe healthy and happy..

Please help i wip ldo anything!!

Answers

Answer:

yes they are simlar because they are both that shape

Step-by-step explanation:

PLEASE HELP THIS IS IMPORTANT I will give brainliest

Answers

Answer:

x= -5

Step-by-step explanation:

MARK AS BRAINLEST!!

Answer:

the inequality symbol should be < after dividing by -3, so reversing the sign( if reverse isnt an option ill ask what the options are in the comments)

Step-by-step explanation:

Whenever and inequality is divided by a negative number the inequality sign has to switch.

The sum of two numbers is 65. The larger number is five more than three times the smaller number. What are the numbers? (Systems of Equations)

Answers

Answer:

x=44 and y=21

Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21

I need help!!!!!!!!!!!!!

Answers

Answer:

D i think

Step-by-step explanation:

Match the equivalent fractions,decimal and percentages.

I WILL GIVE BRAINLIEST

Answers

Answer:

1/10 = 0.1 = (0.1×100) %= 10%

1/5 = 0.2 = (0.2×100)% = 20%

3/4 = 0.75 = (0.75×100)% = 75%

3/10 = 0.3 = (0.3×100)% = 30%

1/4 = 0.25 = (0.25×100)% = 25%

Hope it helps

Answer:

1/2 = 0.5 50%

1/10 = 0.1 10%

1/5 = 0.2 20%

3/4 = 0.75 75%

3/10 = 0.3 30%

1/4 = 0.25 25%

(D). Hope this helps :)

Answers

Answer:

lol. I think you just asked a question instead of answering one. :)

Silly ;p

Is 8.33865 irrational or rational

Answers

Answer:

Irrational

Step-by-step explanation:

A rational number can be made by dividing two integers, thereby, 8.33865 is an irrational number.

Hope this helps!

It’s an Irrational number

You receive $45 profit from a car wash after $300 in sales.
What percent was your profit?

Answers

Answer:

15%

Step-by-step explanation:

Find the percent of profit by dividing 45 by 300:

45/300

= 0.15

So, the percent profit was 15%

Answer:

15%Step-by-step explanation:

You receive 45\$ profit from a car wash after 300\$ in sales.

so,

percentage of profit

[tex]\sf{\dfrac{45}{300}×100 }[/tex] 

[tex]\sf{\dfrac{45}{\cancel{300}}×\cancel{100 }}[/tex] 

[tex]\bold{\dfrac{45}{3}  }[/tex] 

[tex]\green{ 15\%  }[/tex]

What are the domain and range of the function?

Answers

Answer:

domain: {-2, -1, 0, 1, 2}

range: {0, 2, -4, -8}

Step-by-step explanation:

The domain is a set of all the x-values in the graph. This is made up of:

{-2, -1, 0, 1, 2}

The range is made up of all the y-values(no repeats):

{0, 2, -4, -8}

I wish I knew how to do maths lol

What’s the distance between (-9, 5) and (-9, -1) please helpppp

Answers

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

1)

3

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4

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5

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6The solution to 8x = 32 is x = ___. (3 points)

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3

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6The solution to 8x = 32 is x = ___. (3 points)

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3

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6The solution to 8x = 32 is x = ___. (3 points)

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3

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4

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5

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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3

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6The solution to 8x = 32 is x = ___. (3 points)

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3

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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3

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6The solution to 8x = 32 is x = ___. (3 points)

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3

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6The solution to 8x = 32 is x = ___. (3 points)

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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3

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6The solution to 8x = 32 is x = ___. (3 points)

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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3

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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6The solution to 8x = 32 is x = ___. (3 points)

Question 1 options:

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3

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6

Answers

Answer: 32

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

[tex]8x = 32\\\frac{8x}{8} = \frac{32}{8} \\x= 4[/tex]

Melanie brought 9 gallons of pink
lemonade to the school picnic, and
Shelby brought 16 quarts of orangeade.
How many gallons did the two girls
bring to the school picnic?

Answers

Answer: 25 Gallons

Step-by-step explanation:

My answer is correct because, if were just finding out how much gallons did both the girls bring then we just have to add 9 plus 16. 9 plus 16 equals 25.

Hope This Helps!

The lifespan of a hamster is 4 years less than that of a rabbit. The lifespan of a raccoon is 2 times that of the hamster. If the total lifespan of the animals is 24 years, calculate the longevity for the rabbit.

Answers

Answer:

9 years

Step-by-step explanation:

Let

Lifespan of rabbits = x

Lifespan of hamster = x - 4

Lifespan of raccoon = 2(x - 4)

Total lifespan of animals = 24

Total = rabbits + hamster + raccoon

24 = x + (x - 4) + 2(x - 4)

24 = x + x - 4 + 2x - 8

24 = 4x - 12

24 + 12 = 4x

36 = 4x

x = 36/4

x = 9 years

longevity for the rabbit = 9 years

Lifespan of rabbits = x = 9

Lifespan of hamster = x - 4

= 9 - 4

= 5

Lifespan of raccoon = 2(x - 4)

= 2(9 - 4)

= 2(5)

= 10

Total lifespan of animals = 24

should montresor be tried for murder?why, or why not?Does he have a case for an insanity plea?explain.​

Answers

Answer:

Montresor deserves to be penalised in court with the sentencing of 1st degree murder. Montresor was not insane, he was a pervasive murderer because of his motive.

Hope this helps!

--Applepi101

Aquarium has a height of 25 inches and a radius of 21 inches what is the volume of the aquarium in cubic inches

Answers

Answer:[tex]34,650\ in^3[/tex]

Step-by-step explanation:

Given

The height of the aquarium is [tex]h=25\ inches[/tex]

The radius of the aquarium is [tex]r=21\ inches[/tex]

Assuming aquarium to be in the shape of a cylinder

So, its volume is [tex]V=\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\pi \times 21^2\times 25\\\Rightarrow V=34,650\ in^3[/tex]

Thus the volume of the aquarium is [tex]34,650\ in^3[/tex].

The perimeter of the rectangle is 28 units.
What is the value of w?
O 5 units
0 7 units
w
14 units
2w-1
O
15 units

Answers

The value of w according to the given description is; 5units

Perimeter of a rectangle

The perimeter of a rectangle is given as;

P = 2 (l + w)

Hence, In this scenario;

28 = 2 (w + 2w -1)

28/2 = 3w -1

14 + 1 = 3w

3w = 15

w = 5.

Read more on perimeter of a rectangle;

https://brainly.com/question/24571594

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer:

the answer is A

Step-by-step explanation:

It will produce the most representative sample because the customers will have already flown with the company and will be completely random producing the best results.

Which expression is equivalent to 25 times 1/5?

A: 1/25 times 5
B: 1/25 times 1/5
C: 1/25 divided by 1/5
D: 5 divided by 25
E: 25 divided by 5

Answers

Answer:

E

Step-by-step explanation:

25 times 1/5 is saying divide 25 by 5 because 25 times 1/5 in 25/5 which is equal to 5 where 25 divided by 5 is 5.

Hope this helped :]

I need help with geometry

Answers

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

The half-life of a radioactive kind of radium is 11 days. If you start with 72 grams of it, how
much will be left after 22 days?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Radioactive decay.

N(t) = 72(1/2)^22/11

==> N(t) = 72 (1/2)^2

==> N(t) = 72/4

==> N(t) = 18 grams.

So the remaining would be 18 grams.

PLEASE HELP URGENT!!!!!! NUMBER 36 PLEASE!!!!!

Answers

Answer: C

Step-by-step explanation:

domain is all the x, and range is all the y listed out

At Jeans R Us, pairs of jeans comes in 10 different brands, 5 different cuts, and 4 different colors. How many different types of jeans are there?

Answers

Answer:

200

Step-by-step explanation:

Multiply all of the different types.

3x (20 - 2), when x = 7

Answers

Answer: 378

Step-by-step explanation:

You would get this answer because if x = 7 then you multiply and get 21 because 3 x 7 = 21 then you do what’s in the parentheses and get 18 then multiply 21 x 18 then you get 378

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