Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A3 cm, 3 cm, 3 cm
B4 cm, 8 cm, 13 cm
C5 cm, 9 cm, 14 cm
D 6 cm, 7 cm, 8 cm
E 7 cm, 7 cm,10 cm

Answers

Answer 1

Answer:

A3

D6

Step-by-step explanation:

Answer 2

All answer choices are correct and can form triangles.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).

A)

3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.

B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.

C)

5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.

D)

6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.

E)

7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.

Therefore,

All of the sets of measurements could be the side lengths of a triangle.

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Related Questions

What is the slope of the line represented by the equation f(x)=3/2x-4 ?

Answers

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Answer: 3/2 is the answer

The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?

Answers

Answer:

24

Step-by-step explanation:

Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.

AEFG - ALMN. Find LM.

Answers

Answer:

The solution is 2.5. The problem can be solved using the proportion:  

2

4

=

x

5

Step-by-step explanation:

I hope it makes since =)

How would I write out,10 times a number increased by four is no more than 25 as an inequality?

Answers

Answer:

10x + 4 [tex]\geq[/tex] 25

You roll a number cube once.
What is the theoretical probability that you roll a 2 or 4? Enter your answer as a simplified fraction.Use/to write your fraction.
The probability that you roll a 2 or 4 is

Answers

Answer:

Step-by-step explanation:

Probability of a 2 = 1/6

Probability of a 4 = 1/6

probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3

[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]

A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.

Answers

Answer:

73,139.67

Step-by-step explanation:

I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6

Answers

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau

Answers

Answer:

Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)

Step-by-step explanation:

The information given is not enough to determine the probability.

We need to know, how many Clouseau are seen each year, then we can find the desired probability.

The Parameters:

Total number of manta rays seen each year = 450

Probability that if a manta ray is spotted at random, it would be clouseau,

P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)

P = C/T

P = C/450

In a survey of students, 1162 stated they cheated and 2468 stated they did not. If one student is randomly selected what is the probability that they cheated

Answers

Answer:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

Step-by-step explanation:

For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.

The total of people is given by:

[tex] n = 1162 +2468 =3630[/tex]

And the probability that they cheated and we can use the classical definition of probability given by:

[tex] p =\frac{successes}{Total}[/tex]

And replacing we got:

[tex] p=\frac{1162}{3630}= 0.320[/tex]

So then the probability of people cheated is 0.320 or 32% approximately

If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?

Answers

Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

easy geometric shapes questions help please! they go together

Answers

7.solution

v=4/3πr^3

=4/3π×6^3

=4/3×216cm^3π

=288cm^3π

8.solution

SA=4πr^2

=4×6^2π

=4×36cm^2π

=144cm^2π

Directions: Solve each volume problem using the information given. Use 3.14 for pi and label your answer with the appropriate units.

1.) The school cheer leading team uses megaphones in their routines. Each megaphone is a cone. The radius of the megaphone is 5.1 inches and the height of the megaphone is 19.3 inches. What is the volume of the megaphone?





2.) You and your friends buy ice cream cones at the local ice cream shop. The radius of the ice cream cone is 44 millimeters and the volume of the ice cream cone is 356,456.2136 cubic millimeters. What is the height of the ice cream cone?

Answers

Answer:

A. 525.42 inches^3

B. 175.91 mm

Step-by-step explanation:

a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.

Mathematically, the volume of the cone can be calculated using the formula below;

V = 1/3 * π * r^2 * h

where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches

Plugging these values, we have;

V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3

b. Here we are tasked with calculating the height given the value of the volume and the radius.

mathematically, the formula to use is

V = 1/3 * π * r^2 * h

where V = 356,456.2136 cubic millimeter and r is 44mm

plugging these values we have

356,456.2136 = 1/3 * 3.14 * 44^2 * h

h =( 1,069,368.6408)/6,079.04

h = 175.91 mm

BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с

Answers

Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

x = 10.99 units

Hope this helps! :)

Answer:10.99

Step-by-step explanation:

Which number line shows the solutions to n<-3

Answers

Answer:

[In Picture]

Step-by-step explanation:

There are no given options.

However, I am able to recreate the best answer for the question given.

There would be arrow going to the left from -3. The arrow will include all numbers less than -3.

Since there is a less than sign, the circle at the beginning of the arrow is open.

Choose the option that closely matches the line shown.

The number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

What is a number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

n < - 3

This is read as,

n is less than -3.

The graph of the number line is given below.

Thus,

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

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HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz

Answers

1. 8.50h = m

2.


4 34
5 42.50
6 51
7 59.50

I'm a bit stuck, well uhhh you'll see. Please help!! is she 25 or 26 ? ? ?

Answers

Answer:

25 years old

Step-by-step explanation:

19+3=22

19+6=25

19+25+22=66

she is 25 years old

Help me please !!!!!

Answers

Answer:

C =119.32

A =1133.54

Step-by-step explanation:

UR is the radius = 19

Let pi = 3.14

The circumference is

C = 2*pi*r

C = 2 * 3.14 * 19

C =119.32

The area is given by

A = pi r^2

A = 3.14 * (19)^2

A =1133.54

evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)

Answers

Answer:

work is shown and pictured

PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT

An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years

Answers

Answer:

:

I think I know how to solve this. You are trying to find the interest earned.

Step-by-step explanation:

you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percent

Answer:

t says or, so you can answer any however the answer to time would be 4 years or so

Step-by-step explanation:

10x5 = 50

50x50 = 2500

2500x.4= 1000

1000/250=4

4

Step-by-step explanation:

The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?

Answers

Answer:

36

Step-by-step explanation:

12x3=36

Lxwxh

Axh

Answer:

18,6,108

Step-by-step explanation:

edge2020

The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?

Answers

Answer:

- 190

Step-by-step explanation:

Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.

Answer:

B) -190

Step-by-step explanation:

Trust

June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject

Answers

Answer:

2/3

Step-by-step explanation:

Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?



x = −3, x = 0, and x = 1



x = −3, x = −1, and x = 0



x = −3, x = −1, and x = 1



x = −1, x = 1, and x = 3

Answers

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is

Answers

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

What is simplification?

Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
To simplify the given expression, we need to use the rules of exponents:

= [(x²y³)⁻¹ / (x⁻²y²z)²]²

= [(1 / x²y³) / (x⁻⁴y⁴z²)]²

= [(1 / x²y³) * (x⁴ / y⁴z²]²

= x⁴ / y¹⁴z⁴

Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

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The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?

Answers

Answer:

f(x)=(x+1)(x-5)

Step-by-step explanation:

The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.

how to find the mean median and mode for 6 5 6 7 6 6 7 4 6 7 7 6 7 7 7 4 7​

Answers

Answer:

the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc

Answer:

the medium is 7

Step-by-step explanation:


can you please help me fill this out thanks

Answers

For perimeter you just add the sides up, so 15+12+9 which = 36

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

Which binomial is a factor of 9x2 – 64?

Answers

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

The square root of 83 can be platted on the number line below

Answers

The answer is some number between 9 and 10.
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).

Answer:

Step-by-step explanation:

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

Answers

Answer:

Step-by-step explanation:

4 ft

Answer:

Step-by-step explanation:

4 ft

brainliest pls i need it :,)

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