Which three lengths could be the lengths
of the sides of a triangle?
A. 4 cm, 8 cm, 13 cm

B. 13 cm, 11 cm, 23 cm

C. 5 cm, 18 cm, 12 cm

D. 25 cm, 8 cm, 16 cm

Answers

Answer 1

Given:

The three lengths in the options.

To find:

Which three lengths could be the lengths of the sides of a triangle?

Solution:

If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.

In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.

Sum of two smaller sides is:

[tex]4+8=12[/tex]

[tex]4+8<13[/tex]

So, the triangle is not possible.

In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.

Sum of two smaller sides is:

[tex]13+11=24[/tex]

[tex]13+11>23[/tex]

So, the triangle is possible.

In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.

Sum of two smaller sides is:

[tex]5+12=17[/tex]

[tex]5+12<18[/tex]

So, the triangle is not possible.

In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.

Sum of two smaller sides is:

[tex]8+16=24[/tex]

[tex]8+16<25[/tex]

So, the triangle is not possible.

Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.


Related Questions

lol please help me i really don’t get this

Answers

Answer:

If y is inversely proportional to x then y is 3

Which is the best approximation of PX

Answers

Answer:

We now want to find the best approximation to a given function. This fundamental problem in Approximation Theory can be stated in very general terms. Let V be a Normed Linear Space and W a finite-dimensional subspace of V , then for a given v ∈ V , find w∗∈ W such that kv −w∗k ≤ kv −wk, for all w ∈ W.

Step-by-step explanation:

The ages of attendees at two different movies were randomly sampled. The data is presented in the double box plot. Compare the measures of center and variability for the ages of the attendees at movie A and movie B.
Drag each statement to the table to show whether it applies to Movie A or Movie B.

Answers

Answer:

A i think to compare the measure of center ane varibaility

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I think it's B, but this website says it A

Bobby’s conclusion is invalid because the number of clubs in which the student participates does not necessarily cause the English grade of a student to increase.

Step-by-step explanation:

Website:

It doesn't let me send the link but put this into ur search bar

AP Statistics Midterm 2020 quizziz, and click on the link that has AP Statistics Midterm 2020 on it, and it will be last question

PLEASE HELP
*NO LINKS*

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Answer:

its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1

Step-by-step explanation:

Describe the slope of these lines what do we call these lines?

Answers

Answer:

parallel lines

Step-by-step explanation:

the slope is 0

Which expression is equivalent to 10x2y + 25x2?

5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)

Answers

the first one 5x2(2y+5)

pls help thank you so much !!​

Answers

Answer:

a) (0,5)

Step-by-step explanation:

3-(1/3) to the 4th power

Answers

Answer:

if im reading it right its 8.3521

Step-by-step explanation:

Answer quickly please

Answers

Answer:

d is the answer

Step-by-step explanation:

ILJ and JKI

Help please (don’t judge my writing) The frequency table shows the number of Dewey Middle School students who volunteered for the Toy Drive project.
What % of the volunteers were 6th graders?

Answers

Answer:

33%

Step-by-step explanation:

(68/206) × 100 = 33%

the answer is 33%

(15 points!!) Which transformation forms a mirror image of a figure on a coordinate plane?

Answers

Answer:

BLUEE

Step-by-step explanation:

IM HOPING THIS IS CORRECT

Solve for x. Show work

Answers

Answer:

X=11

Step-by-step explanation:

5x+10+58=11x+2

-6x+68=2

-6x=-66

x=11

Will mark brainliest!
Find the area of the triangle.

Answers

Answer:

the answer is 43.5. i am a 100% sure.

Step-by-step explanation:

Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on to the soccer field. The soccer field is 1000 meters from her home. How far east did Leah walk?

Answers

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

a lego brick is 5/6 of a cm long, how long will the total length of 336 bricks be?

Answers

Answer:

278.88 cm

Step-by-step explanation:

PLSSSSSS HELP GIVING BRAINLIEST
The probability of rolling a 6 with a six-sided number cube is . Choose the
likelihood that best describes the probability of this event.
A. Impossible
O B. Likely
C. Unlikely
O D. Neither likely nor unlikely

Answers

Step-by-step explanation:

That probability is 1/6 (one in six).  Certainly this outcome could happen, but the probability that it won't happen is 1 - 1/6, or 5/6.  Answer C is correct.

what is the surface area of 150 boxes

Answers

Answer:

Well since there aren't any specifics all you can be given is an equation on how to solve it, if a box has 6 sides and it's a cube then it will just be L*W=A then multiply that area by 6, that gives you the full surface area and if you want it for 150 boxes then just multiply whatever you got for the surface area by 150. It will be different if it's a rectangular box though, with that you must solve the surface area for 3 different pieces and multiply them all by 2 then add them all up and you get the surface area of that shape, then you multiply by 150 and that's your answer.

this is what I need help with
1 and 2

Answers

Answer:

1. is no its a dialation and 2. is yes

Step-by-step explanation:

A train leaves Richmond at 8:50AM and arrives at Washington DC at 11:35AM. How long does the trip take?​

Answers

Answer:

2 hours 45 minutes.

Step-by-step explanation:

9 :00 - 8:50 = 10 minutes.

11:35 - 9.00 = 2 hours 35 minutes.

So length of the trip = 2 hours 45 minutes.

Answer:

Solution given:

the trip take =11:35-8:50=2 hours 45 minutes.

Chiquita had $463.28 in her checking account. She made deposits of $28.35 and$78.88. She paid her electric bill of $77.50.How much money was in Chiquita’s account after the deposits and after she paid her bill?

Answers

Answer:

$493.01

Step-by-step explanation:

463.28 + 28.35 + 78.88 - 77.50

Answer:

493.01

Step-by-step explanation:

463.28 + (28.35+78.88) = 570.51

Deposits means to add money.

570.51 - 77.50 = 493.01

PLEASE HELP i will give brainliest

Answers

9 - I am big brain hahahah

Convert.
8T=
8 tons is equal to
pounds.

Answers

Answer:

the answer for the question is 8x2000

which is 16000 pounds

Help ASAP before 2:10

Answers

Answer:3 choice

Step-by-step explanation:

When you have this || you put the opposite mark

Answer:

D

Step-by-step explanation:

-6

-2

|-4|

|-5|

6

The || means "absolute value". Thats the distance from 0 on a number line.

What does r equal A B C or D

Answers

Answer:

b i think

Step-by-step explanation:

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

i used the points (0,-2) and (3,-1) to find the slope:

(-2--1) / (0-3) = -1/-3 or 1/3

An airplane's altitude in feet during its descent can be found using the equation y=-150x + 30,500. After new government regulations become law, the descent isnow modeled by the equation y=-150x + 30,000. Which statement describes this change?


The airplane starts its descent from an altitude 500 feet lower.

The airplane descends 500 feet per horizontal mile slower.

The airplane descends 500 feet per horizontal mile faster.

The airplane starts its descent from an altitude of 500 feet.

Answers

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

PLEASE HELP GIVE BRANLIEST!!
For two events X and Y, P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5 . Find the probabilities.
1. 2/25 P(Y∩X) = ____
2.4/15 P(Y)· P(X) =____

Answers

Answer:

1. 2/25

2. 4/15

Step-by-step explanation:

1. P(Y∩X)

Since  P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.

So  P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25

2. P(Y)· P(X)

P(Y)· P(X) = 2/3 × 2/5 = 4/15

Solve the inequality. Enter the answer as an inequality showing the value of the variable to a number (like s < 1/2, or w = 1).

2x < -10

Answers

Answer:

x < -5

Step-by-step explanation:

For the most part, you solve inequalities the same way you solve equations. So for this one, we just needed to divide both sides by 2.

The solution to the inequality is: x < -5. To solve the inequality 2x < -10, follow these steps:

1. Divide both sides of the inequality by 2 to isolate x.

2. Remember to reverse the inequality sign when dividing by a negative number.

Step 1: Divide both sides by 2:

(2x) / 2 < (-10) / 2

Step 2: Simplify:

x < -5

The solution to the inequality is:

x < -5

To know more about inequality:

https://brainly.com/question/20383699

#SPJ2

Evaluate the six trigonometric functions of the angle 0



is right

Answers

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

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