A triangle has one side that is 6 units long and another side that is 3 units long.

Which of the following could be the length of the third side?

2 units
3 units
4 units
6 units
8 units
10 units

Answers

Answer 1

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

How to determine the possible length of the third side?

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

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Related Questions

What are the domain and range of the function

Answers

Answer: The answer should be the 2nd one

Step-by-step explanation:

Find the Perimeter of the Square with One side is 75cm

Answers

Answer:

P=300cm

Step-by-step explanation:

P=4a=4.75×4=300cm

Given :-

Side of square = 75 cm

To Find :- Perimeter of Square

Solution:-

[tex]\green{ \underline { \boxed{ \sf{Perimeter \: of \:Square = 4 \times side }}}}[/tex]

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \:of \:Square = 4 \times 75 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \: of \:Square = 300 sq. \:cm \\\end{gathered} [/tex]

>>Therefore, Perimeter of the Square is 300 sq. cm


There are six more necromancers than there are
wizards. Write a system of equations that deter-
mines the numbers of wizards and the number of
necromancers.

Answers

Answer:

Step-by-step explanation:

let x be necromancers and y be wizards

if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6

but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6

Find the Area in yards.

12 mi
6.9 mi

Answers

Answer:

82.8

Step-by-step explanation:

multiply the 2

1 2

6.9

9×2=18

9×1=9

10.8

72.0

____

82.8

The answer should be 82.8 because your trying to find the total area around the shape so you have to multiply

TRUE or FALSE? The only difference between involuntary manslaughter and voluntary manslaughter is reckless conduct

Answers

Answer:

Yeah?

Step-by-step explanation:

dunno if this is and actual school related question but to me, yeah thats the only difference cuz the meaning of involuntary manslaughter is death thru recklessness/something close to that

Which expression could be placed in the box as an example of the reflexive property?

9x + 27 = 2 A. 9(x + 3) B. 27 + 9x C. X * 9 + 27 D. 9x+ 27​

Answers

Answer:

A.

Step-by-step explanation:

The reflexive property (of equality/of congruence) states that a number must always be equal to itself.

Because A is the only statement with an = sign, that's the answer.

Noah walked a family’s dog 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $6 at the end of the month. Noah earned $106 from dog walking.

1- This situation IS represented by the tape diagram.

2- This situation IS NOT represented by the tape diagram.

Answers

The situation IS NOT represented by the tape diagram.

How to represent the situation

Number of times Noah walked the dog = 5Amount earned each time = sExtra amount earned = $6Total amount earned = $106

The situation can be represented by the equation:

s + s + s + s + s + 6 = 106

5s + 6 = 106

5s = 106 - 6

5s = 100

s = 100/5

s = 20

Therefore, the amount Noah earned each time he walked the dog is $20

Learn more about equation:

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Solve the following equation for x.

12x^2-36x=0

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:12 {x}^{2} - 36x = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:12 x({x}^{} - 3) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 0 \: \: or \: \: x = 3[/tex]

Therefore, the possible values of x are 0 and 3

What is the slope-intercept equation for this line?

y = [?]x+ [?]

Answers

Answer:

y= -x-3

Step-by-step explanation:

What would be the corresponding angles ( similar figures ). Any help with this question will be gladly appreciated . Thank you

Answers

Answer:

x=4.8

I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides

5/3 = 8/x (then just solve for x)

24=5x

4.8=x

The number of men and women participating in the Winter Olympic Games has been steadily increasing in recent years. In the 19th Winter Olympics, 1389 men and 787 women participated. 1660 men and 1121 women participated in the 22nd Winter Olympics.



Part A

Which system describes the number of men and women participating if x represents the number of winter games after the 22nd Winter Olympics?



Multiple choice question.

A)
y=1389x+1660y=787x+1121


B)
y=2713x+1121y=3343x+1660


C)
y=2713x+1389y=3343x+787


D)
y=2713x+1660y=3343x+1121

Answers

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

More can be learned about a system of equations at https://brainly.com/question/24342899

Help picture below problem 10

Answers

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Hope that helps :)

Simplify the expression.
The cost of renting a community center is $100, with an additional cost of $10 per guest.

Which graph has the most appropriate scales and units for this situation?

Answers

Answer:

Units will be   # attendees  for the x axis

Units will be $   for the y axis

the graph should be y = 100 when x = 0   and then for each x increase of one the value of y will increase 10

Step-by-step explanation:

Write an essay comparing the two arguments made about whether dodgyball should be played in school. Use textual evidence from the article to support your answer. TITLE- A Dodgy call AUTHOR Tum Jones Introduction Hook- Bridge-​

Answers

Answer:

(This is not math)

Step-by-step explanation:

I think that dodgeball should be allowed un our school because it gets our legs moving and lets us extrasice and practice our swiftness

A sample of bacteria is decaying according to a half-life model. If the sample begins with 500 bacteria,
and after 17 minutes there are 150 bacteria, after how many minutes will there be 10 bacteria
remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to
the nearest whole number.

Answers

contact +2348021312463, he can help you

after approximately 137 minutes, there will be 10 bacteria remaining.

To find the time at which there will be 10 bacteria remaining, we can use the half-life model for exponential decay, which is given by:

N(t) = N₀ * [tex](1/2)^{(t / t_{half})[/tex]

where:

N(t) = the number of bacteria at time t

N₀ = the initial number of bacteria

t = time (in minutes)

t_half = the half-life of the bacteria

We are given that the initial number of bacteria (N₀) is 500 and after 17 minutes there are 150 bacteria (N(17) = 150).

Let's use this information to find the value of k (the decay constant):

150 = 500 * [tex](1/2)^{(17 / t_{half})[/tex]

Divide both sides by 500:

[tex](1/2)^{(17 / t_{half})[/tex] = 150 / 500

[tex](1/2)^{(17 / t_{half})[/tex] = 0.3

Now, we can write the equation as an exponent:

17 / t_half = log base (1/2) of 0.3

Using logarithms:

t_half = 17 / log base (1/2) of 0.3

Now, calculate t_half:

t_half = 17 / log base 2 of 0.3 ≈ 38.555

Now, we can find the time at which there will be 10 bacteria remaining (N(t) = 10):

10 = 500 * [tex](1/2)^{(t / 38.555)[/tex]

Divide both sides by 500:

[tex](1/2)^{(t / 38.555)[/tex] = 10 / 500

[tex](1/2)^{(t / 38.555)[/tex] = 0.02

Write the equation as an exponent:

t / 38.555 = log base (1/2) of 0.02

Using logarithms:

t = 38.555 * log base 2 of 0.02 ≈ 137.08

Rounding to the nearest whole number:

t ≈ 137

So, after approximately 137 minutes, there will be 10 bacteria remaining.

Learn more about half-life model here

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Graph a quadratic function with a vertex at (2, -3) with a = 3.

Answers

Answer:

bottom one

Step-by-step explanation:

use (x , y)

the top one is -3,2

the bottom one is 2,-3

This graph represents function of y = 3(x−2)²-3.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The vertex form of parabola :

y=a(x−h)²+k

(h,k)is the vertex of the parabola, and

Substitute vertex(2,-3), into equation

y = a(x−2)²-3

Substitute a = 3 into equation

y = 3(x−2)²-3

Here is a graph of the y = 3(x−2)²-3

Learn more about parabola here:

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How much is it but don’t stop it fast cash x

Answers

Answer:

yes

Step-by-step explanation:

Evaluate the expression 21 ÷ 3 + 8 − 4. 19 17 15 11

Answers

Answer:

Your answer is D, 11

Step-by-step explanation:

PEMDAS, first you divide, 21/3 is 7

7+8 is 15

15 - 4 is 11

Hope this helps! :)

Answer:

[tex]\boxed{\sf{11}}[/tex]

Step-by-step explanation:

Solving this problem requires an order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

21÷3+8-4

First, divide.

[tex]\sf{21\div3+8-4}[/tex]

[tex]\sf{21\div3=7}[/tex]

Then rewrite the problem.

[tex]\sf{7+8-4}[/tex]

Add.

[tex]\sf{7+8=15}[/tex]

Subtract.

[tex]\sf{15-4=\boxed{\sf{11}}[/tex]

11

Therefore, the correct answer is 11.

I hope this helps you! Let me know if my answer is wrong or not.

A cone has a radius of 7 cm and a height of 12 cm what is the volume in cubic meters of the cone

Answers

Answer: 615.44 m^3.

Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height.  The equation is given below:

π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.

Now, we need to substitute the values with the information that is given.  π ≈ 3.14:

3.14 x 7^2 x 12 ≈ 1846.32.

We are not finished yet!  A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:

1/3 x 1846.32 ≈ 615.44 m^3.

Hope this helps! :)

In this box-and-whisker plot, what is the maximum value of the data.
A: 53 B: 56 C: 60 D: 68

Answers

Answer:

68

this will be your maximum because of where the dot ends

There is a red, orange, yellow, green, blue, and purple card placed in a box. (six total, one of each color). You are asked to randomly choose a card, replace it in the box, and choose another card.

Find P(Yellow, then Blue)

Answers

Answer:

Step-by-step explanation:

If you are doing probability with replacement they will all be 1/6 each time.

total there is 6/6. If you draw a yellow card first it's 1/6 then replace it and draw a blue it is still 1/6. so you take those two probabilities and multiply them (1/6)*(1/6)=1/36 1*1=1 and 6*6=36.

Your answer is 1/36

1) A prize is divided in the ratio 15:1 if the smaller share is £5 what is the total prize?

Answers

Answer:

£80

Step-by-step explanation:

larger ratio is 15 and smaller ratio is 1

15 + 1 = 16

£5×16=£80

How many lines pass
through two points?
A. infinite
B. 1
C. zero
D. 2

Answers

Answer:

1

Step-by-step explanation:

Only 1 line can pass through two points.

A.infinite

Explanation: Because Infinite number of lines can pass through a single point. Similarly, an infinite number of curves can pass through 2 points, which are not straight lines. Only 1 straight line can pass through 2 points.

please help:
A box in the shape of a right rectangular prism has a length of 8 . 58.5 inches, a width of 4 . 54.5 inches, and a height of 3 . 753.75 inches. What is the volume, in cubic inches, of the box? Do not round your answer.

Answers

Answer:

Step-by-step explanation:

Use the volume formula of a right rectangular prism!

V=whl

Just plug the values in and throw them in your calculator.

w stands for width

h stands for height

l stands for length

Hope that helps. Since it is part of a quiz, I can't give you the answer, but I believe in you!

For what values of x is x3+23x2+162x+360=0 a true statement?

Answers

Answer:

Step-by-step explanation:

x³+23x²+162x+360=0

x³+12x²+11x²+132x+30x+360=0

x²(x+12)+11x(x+12)+30(x+12)=0

(x+12)(x²+11x+30)=0

(x+12)[x²+6x+5x+30]=0

(x+12)[x(x+6)+5(x+6)]=0

(x+12)(x+6)(x+5)=0

x=-12,-6,-5

3/9 and 1/2 common denominator

Answers

Given:

[tex]\frac{3}{9}[/tex] and [tex]\frac{1}{2}[/tex]

Finding a common denominator:

9 * 2 = 18

       -> If you need to stop here, a common denominator is 18.

Converting [tex]\frac{3}{9}[/tex]:

[tex]\frac{3}{9}[/tex] = [tex]\frac{3*2}{9*2}[/tex] = [tex]\frac{6}{18}[/tex]

Converting [tex]\frac{1}{2}[/tex]:

[tex]\frac{1}{2}[/tex] = [tex]\frac{1*9}{2*9}[/tex] = [tex]\frac{9}{18}[/tex]

       ->  [tex]\frac{6}{18}[/tex] and  [tex]\frac{9}{18}[/tex]

Jenny brought an antique vase for $ 120 and advertises to sell it at a profit of 35% calculate the selling cost

Answers

35% of 120 is :

120 x 0.35 = 42 $ profit

selling cost 120+42=162$

When asked to factor the x^2 - 144, a student gives the answer (x - 12)(x - 12). What is wrong with this answer?

A. Both minus signs should be plus signs l

B. One of the minus signs should be a plus sign

C. There is nothing wrong with this answer

D. -1 is also a factor

Answers

Answer:

B

Step-by-step explanation:

because in general

(a + b)(a - b) = a² - b²

when the second term is negative, it has to be the product of a positive and a negative number.

positive × positive = positive

negative × negative = positive

I need help, so this one question: 1/4 (4+x)=4/3
Is stopping me from being great

Answers

Answer:

if you are solving for x, x= 4/3

Step-by-step explanation:

How to solve your problem:

1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers

7. Subtract 4 from both sides

8.Simplify


Answer:

X= 4/3


Hopes this helps! ^^

what is m










































ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Answers

Answer:

66 degrees

Step-by-step explanation:

All three angles on any given triangle have a sum of 180 degrees.

We know that the measure of angle B is the the same as angle C.

So 57 +57 = 114

180 - 114 = 66

Hope that helps!

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Energy-efficient jobs are growing! One job includes being a conservation scientist, which is part of the STEM job cluster. What is the best definition for a conservation scientist?A. manage, improve, develop new machines to cook faster and more evenly.B. develop, document, and research new ways to move people into careers of interestC. manage improve, and protect natural resources to maximize their use without damaging the environment. If the composer notes that the piece should be played presto, they mean for it to be played very fast.OA. TrueOB. False A taxi ride cost a flat fee of 4. 00 plus an additional 1. 25 per mile how many mile would a person travel if they paid 19. 0 18.Given that sin x =8and sin y = , where x and y are acute, find the value of cos (x + y).17A.B.13022114022114020422022C.D. Convert 68% As a fraction A customer opened a file attachment and now her pc is infected with ransomware Which subtraction equation shows how to subtract 42122812 using equivalent fractions? A. 42122812 B. 18122212 C. 50123212 D. 48122412 What is the name given to hills with flat tops and steep sides located in the Badlands of the Midwest region? I have worked in the field for many years and have a strong background in the field . why is sentence ineffective? 2 Which set of side lengths will form a triangle?16 ft, 4 ft, 21 ft.6 30 ft, 30 ft, 60 ft12 ft, 12 ft, 20 ft3ft, 5 ft, 10 ft True or false? Prokaryotic cells are significantly smaller then eukaryotic cells.Answer: False He said to her "was I really that easy to forget" Convert the sentence into indirect speech! Blake went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $40, what would be the price after the discount but before tax, to the nearest dollar and cent?Please don't send a link! What is question c in the question? PLS HELP OMG I CANT FIND ITGiven a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.Fix)X0-910k= -3k = 3k = 5k = 8graph below pls help 100 points i will give brainlist Examine the graph below.If the gross primary productivity of a salt marsh is 13,000 gC/m2/year, how much productivity is lost to cellular respiration? 1,750 gC/m2/year 11,250 gC/m2/year 13,000 gC/m2/year 14750 gC/m2/year Find the value of x.? Read this excerpt from Abraham Lincoln's Second Inaugural Address, delivered on April 10, 1865.With malice toward none; with charity for all; with firmness in the right, as God gives us to see the right, let us strive on to finish the work we are in; to bind up the nation's wounds; to care for him who shall have borne the battle, and for his widow, and his orphan -- to do all which may achieve and cherish a just, and a lasting peace, among ourselves, and with all nations.Which sentence correctly uses Lincoln's ideas and avoids plagiarism?He insisted that the defeated Confederate states needed to be treated with "malice" and no charity. (Lincoln)He encouraged Americans to "strive on and finish what they started" to win the Civil War (Lincoln).He wanted people to act with firmness in the right, meaning confidence and faith in their own moral compass. (Lincoln)He urged all Americans to act "with malice toward none" and "with charity for all" once the Civil War ended (Lincoln). Please I really need help!? NOW!! Will give brainest!! PLEASE READ THE PICTURELet g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!