How do you know if 3 measures can make a triangle?

Answers

Answer 1

To determine if three measures can make a triangle, use the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.

for example

side 1 = 6

side 2 = 8

side 3 = 10

6 + 8 = 14 > 10,

therefore the three sides can make a triangle.

1. Gather the three measures of the triangle.

2. Add the two smallest side lengths together.

3. Compare the sum of the two smallest sides to the longest side.

4. If the sum of the two smallest sides is greater than the longest side, then the three measures can make a triangle.

5. If the sum of the two smallest sides is not greater than the longest side, then the three measures cannot make a triangle.

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Related Questions

Hi, please help (see image)
I need help on question b) and c)
This homework is due very soon !!! ( SOS)

Answers

Answer:

b: Two thousand four hundred and forty (2440)

c: 1.33 x 10^27

Step-by-step explanation:

I'm uncertain by what an ordinary number is, but to calculate the answer for part b, you need to divide the diameter of Mercury by 2, which would give the aforementioned answer.

As for part c, you will need to subtract the masses of Jupiter and Saturn:
mass of Jupiter - mass of Saturn = 1.33 ×[tex]10^{27}[/tex]

A math club is having a bake sale. Find the area of the bake sale sign.


The Area of the sign is_ square feet

Answers

The bake sale sign has a 6 ft2 space.

What is area?

An object's area is how much space it takes up in two dimensions.

It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space.

A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.

But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.

The majority of forms and things have corners and edges. 

According to our question-

The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.

Area of a rectangle equals length times width.

The area of the bake sale sign = length * breadth

Hence, The bake sale sign has a 6 ft2 space.

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Willl mark you brainlieestttt

Answers

A rational number is any integer, fraction, terminating decimal, or repeating decimal. So the irrational numbers are options B and C.

Answer:

√28 and √11

Step-by-step explanation:

Note : -

Irrational number is any real number that cannot be expressed as the quotient of two integers.

Here,

√28 = 5.291.......

5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.

Similarly,

√11 = 3.316......

Hence,

√28 and √11 are irrational numbers.

please help with math

Answers

Answer:

i think linear

Step-by-step explanation:

let me know if this is wrong

What is the length of the hypotenuse of a 45 45 90 triangle if the length of the leg is 5?

Answers

The length of the hypotenuse will be 5√2 = 7.07

The triangle specified in the question is right-angled, one angle is mentioned to be 90°. It is also an isosceles triangle since both other angles are equal. if both angles are equal, both sides will also be equal.

So the length of both equal sides = 5 cm

Pythagoras' theorem tells us about the relationship between the three sides of a right-angled triangle. It states that the square of the hypotenuse of the right-angled triangle will be equal to the sum of squares of the other two sides. If a, b, and c are the sides

 c² = a²+ b²

  c = √(a²+b²)

According to Pythagoras' theorem, Hypotenuse = √base²+ alt²

                                                          Hypotenuse = √5²+5²

                                                                                = 5√2

                                                                               = 7.07 cm

So the length of the hypotenuse is 5√2 = 7.07 cm.

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The waitress had a table with a bill of $75.29 and received $12.80. What was the percent tip she received?

Answers

None they didn’t give the right amount

Answer:

17%

Step-by-step explanation:

Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%

When the recycling committee first formed, they conducted a survey to determine whether paper recycling was already common at their school. Out of 36 classrooms, 9 were using paper recycling bins.
What percent of the classrooms had paper recycling bins?

Answers

Answer:

25%

Step-by-step explanation:

9x4=9

1/4=25%

hope this helps

what is 4 /25 in a whole number

Answers

Step-by-step explanation:

4/25 cannot be converted into a whole number, it is less than 1

Answer:

decimal = 0.15

whole number (rounded) = 0

HELP

Find the Axis of Symmetry

Answers

Answer:

Axis of symmetry= 3

Step-by-step explanation:

f(x)= 2x^2 +12x-4

f(x)=ax^2+bx+c

x=12/2(2)

x=3

f(x)= 2(3)^2+12(3)-14

f(x)= 2(9)+36-14

f(x)=18+36-14

f(x)= 54-14

y=40

15. A pool can hold 850 gallons. It now has 598 gallons of
water and is being filled at the rate shown. How many
more minutes, m, can water continue to flow into the
pool before it overflows? Write and solve an inequality.
Then graph the solutions.

Answers

850 >= 598+15.75m
252 >= 15.75m
16>=m
The pool can be filled for 16 minutes before it overflows

Response Question
How much do Americans pay for coffee on average? In a 2015 survey of 105 randomly selected U.S.
adults, the respondents were asked what price they paid for their most recent purchase of coffee.
The sample data had a mean of $3.42 and a standard deviation of $0.75.

Answers

Answer:

The right solution is "3.29, 3.57".

Step-by-step explanation:

Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.

The given values are:

Randomly selected adults,

[tex]n = 105[/tex]

Mean,

[tex]\bar{x} = 3.42[/tex]

Standard deviation,

[tex]s = 0.75[/tex]

Now,

At 95% confidence level if given by,

=  [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]

On putting the given values, we get

=  [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]

=  [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]

=  [tex]3.42 \ \pm \ 0.143[/tex]

=  [tex]3.29, 3.57[/tex]

by using the distributive property and the greatest common factor what is 18+15

Answers

Answer:

33

Step-by-step explanation:

18 + 15 ← factor out 3 ( the GCF ) from each term

= 3(6 + 5)

= 3(11)

= 3 × 11

= 33

The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?

Answers

The length of the rectangle is 4 units.

What is rectangular shape?

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Let n be the length of the rectangle.

The width of a rectangle is the length minus 2 units.

The width = n - 2

The area of the rectangle is 8 square units.

The area of the rectangle = length x width

8 = n (n-2)

n²-2n - 8 = 0

n²-4n+2n - 8 = 0

n(n-4)+2(n-4) = 0

(n+2)(n-4) = 0

n = 4 and -2.

So the length is 4 units.

Therefore, 4 units are the length of the rectangle.

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Answers

Answer:

You could start by measuring the angle of the slope, then mark the half point of the slope, call it 0, then mark the left end -1 and then the right end 1

You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.

The three angles of a triangle have measures of 65 degrees, 15 degrees, and (x +42) degrees. What is x?

please !!! only a couple minutes left!! help

Answers

Answer:

58 degree is the value of x

What is the surface area of the cylinder with height 7 in and radius 6 in? Round your answer to the nearest thousandth.

Answers

Surface area is 490.088

Answer: 490.088 in2

Step-by-step explanation:

CAN YOU GUYS HELP PLSS

Answers

Answer:

200

Step-by-step explanation:

Answer:

First lets break this down.

20 inch

and 10

lxw+length x with

So,now we mulitply the area.

AFter we do the perimater.

Next step is to do our equation.

Your answer is 200

Step-by-step explanation:

Hope this helped g!

helpppppppppppppppp pls

Answers

Answer:

2167.7m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex]

     = 2π(15m)²+2π(15m)(8m)

     = 2167.7m²

PLEASE HELP
Using the ratio 26 black marbles to 2 white marbles, match the following to create the equivalent ratios.

Answers

Step-by-step explanation:

1:13

2:26

3:39

4:52

5:65

6:78

Rule - ×13

Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.

Answers

Answer: 38.5%

Step-by-step explanation:

it decreased by 38.5%

formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease

Which polynomial is prime?
x3 + 3x2 -2x - 6
x° - 2x2 + 3x 6
4x4 + 4x3 - 2x - 2
D 2x + x3 -x +2

Answers

The final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.

what is polynomial ?

 An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."

given

Is a base form of a polynomial in other words is a polynomial that can't be factored.

so we have

[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]

hence, the final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.

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what is the quotient of 6x^3+2x-x/x where x≠0

Answers

Answer:

6[tex]x^{2}[/tex] + 1

Step-by-step explanation:

[tex]\frac{6x^{3}+ 2x-x }{x}[/tex]   combine 2x -x = x

[tex]\frac{6x^{3} + x}{x}[/tex]

[tex]\frac{x(6x^{2} + 1) }{x}[/tex]  the x's cancel out

6[tex]x^{2}[/tex] + 1

please help just answer the blanks I'll give a crown thing don't waste an answer.​

Answers

Answer:

5) 1: 63

  2: 117

  3: 63

  4: 117

  5: 63

  6: 117

  7: 63

  8: 117

Step-by-step explanation:

Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.

12 cm 11 cm 11cm find the volume

Answers

Volume:-

= 12 × 11 × 11

= 12 × 121

= 1452 cm³

Answer:

it is 1452 I believe (๑ↀᆺↀ๑)

Write two equivlants ratios for each ratios
a. 3:12
b) 3/5
c) 108:9
help meeeeeee plsssss begging u

Answers

Step-by-step explanation:

[tex]3 : 12 \equiv \frac{3}{12} \equiv 1 : 4[/tex]

[tex] \frac{3}{5} \equiv3 : 5[/tex]

[tex]108 : 9 \equiv \frac{108}{9} \equiv12 : 1[/tex]

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?

number of seats
type of transmission
presence of a sunroof
fuel efficiency (in mpg)

answer is fuel efficiency

Answers

Since the family visits a car show to research information on vehicles they might consider purchasing. The option that is an example of a continuous quantitative variable that might be included in the brochure is option D: fuel efficiency  (in mpg).

What is continuous quantitative variable?

A continuous quantitative variable is a type of variable that can take on any value within a certain range, such as fuel efficiency which can take on any value between a certain range of miles per gallon (mpg). In contrast, a categorical variable can only take on a discrete set of values.

"Number of seats" is also a continuous quantitative variable, but it is a bit different in the sense that it only can take on a certain values, for example the possible values for number of seats in a car can only be 2,4,5,6, etc.

Type of transmission is not a continuous quantitative variable, but it's a categorical variable, it can only take certain values such as Automatic, manual, etc.

Note also that presence of a sunroof also not a continuous quantitative variable, but it's a binary categorical variable which has only two possible values: true (presence) and false (absence)

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A cuboid has a volume of 24 cm^3. What can its maximum surface area be, if its length, breadth, and height are integers?

Answers

Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = [tex]2^3\times3\times1[/tex]

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit

The students at Walden Middle School are selling tins of popcorn to raise money for new uniforms. They sold 42 tins in the first week.How much money did they make in the first week?

Answers

Answer:

$388.50

Step-by-step explanation:

42 tins

$9.25/tin

[tex]42*9.25=388.5[/tex]

So, they raised $388.50

In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.

Answers

The minimum and maximum possible heights of the bowling pin are 14.96875 inches  and 15.03125 inches

How to find the minimum and maximum possible heights of the bowling pin.

From the question, we have the following parameters that can be used in our computation:

Absolute deviation = 0.03125 inches

Height = 15 inches

The minimum is calculated as

Minimum = Height - Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Minimum = 15 - 0.03125 inches

Minimum = 14.96875 inches

The maximum is calculated as

Maximum = Height + Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Maximum = 15 + 0.03125 inches

Minimum = 15.03125 inches

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Pula need to make an 80% on her test to pass the class. she has 25 questions on the test. How many does she need to get correct

Answers

Answer:

Step-by-step explanation:

25×80%=20

so she need to get 20 questions right

Answer:

20

Step-by-step explanation:

total question: 25

marks need to pass: 80%

25-20% = 20

Other Questions
A company wanted to determine the health care costs of its employees. A sample of 25 employees were interviewed and their medical expenses for the previous year were determined. Later the company discovered that the highest medical expense in the sample was mistakenly recorded as 10 times the actual amount. However, after correcting the error, the corrected amount was still greater than or equal to any other medical expense in the sample. Which of the following sample statistics must have remained the same after the correction was made Which of the following provides the best answer to the interview question, "What motivates you?" "I'm most motivated when I get along well with my co-workers and enjoy a positive, engaging, and entertaining work environment." "I'm most motivated when I know that the position I hold is secure and the salary and benefits package offered to me are fair for the job." "I'm most motivated when I'm in a challenging and positive work environment, no matter the task. I like to be part of something bigger than myself." "I'm most motivated when working under pressure. As a matter of fact, the more stress I'm under the more likely I am to rise to the occasion." PLEASE HELP! WILL GIVE BRAINLIEST IF CORRECT!What is the equation of the graphed function? Help ASAP plz need answer Which anatomical feature would you expect to find in the fossil remains of a nocturnal species?a. short fingers and toesb. pointy teethc. long legsd. large eye orbits 3) How ash traditional technology and moderndechnology related to eachrelated to each other? Explainwith suitable examples Which sentence contains a relative pronoun?That is my dog running across the street.Carrots are a favorite food of rabbits.When I play video games, I know I should be reading a book.People who drink five glasses of water a day are watching out for their health. Which of the following science related statements are observations rather than opinions? Select all that apply. Prac. Essay : Effects of the collapse of the USSR on SA in south africa which one is the lunar eclipse? What should be included in an IRB proposal ? What is the type of mutation represented by the amino acid sequence below?Correct sequence: Leucine Alanine Glycine LeucineMutated sequence: Leucine Alanine Valine Leucine please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! PLEASE HELP ME ON THIS ONE, EVEN MY TEACHER IS CONFUSEDHelp. what are the two x-intercepts for f(x) (x-1) (x+3) en que tiempo y modo estn conjugados losverbos? Por que piensas que es as 5. Miss Diaz wants her students to practice making the next ten.a. Circle the problems Miss Diaz should give her students.12 + 2338 + 2264 +9936 + 4079 +48b. Explain why Miss Diaz should give the problems you circled. Which of these inferences about Gulliver and the Lilliputians is best supported by the excerpt from Chapter IV Take a look at the picture. Please write an explanation to go with your answer.Thank you :) I WILL GIVE BRAINLIEST Which is an acceptable way to combine the following two sentences?The Kansas City Chiefs won Super Bowl LIV. Patrick Mahomes was named MVP..The Kansas City Chiefs won Super Bowl LIV and Patrick Mahomes was named MVP.B.The Kansas City Chiefs won Super Bowl LIV, and Patrick Mahomes was named MVP.C.The Kansas City Chiefs won Super Bowl LIV, Patrick Mahomes was named MVP.D.both A&C are correctE.both B & C are correct