Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}

Answers

Answer 1

The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

The sides of first option are, 6,14,and 17.

[tex]6+14 > 17\\20 > 17[/tex]

This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.

Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

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Related Questions

please help its a math problem

An iPhone costs $1400 loses 3/8 of its value each year. What is the value of the iPhone after 3 years?


Question 6 options:


$341.80



$546.88



$1398.86



$73.83

Answers

Answer:

$341.80

Step-by-step explanation:

Value after 1 year :

1400 x (1 - 3/8)1400 x 5/825 x 7 x 5125 x 7$875

Value after 2 years :

875 x 5/84375/8$546.88

Value after 3 years :

546.88 x 5/82734.40/8$341.80

Which number sentence is true? OA -6.8 (-1.3)=8.84 OB 6.8 (-1.3)=8.84 OQ-68.1.3=8.84 OD 6.8 1.3=-8.84​

Answers

The true number sentence is the third option:

6.8*1.3 = 8.84

Which number sentence is true?

Here we have number sentences of the form:

A*B = C

This is true only when the value of the product A*B is equal to the value of C.

One key thing to identify the correct one is remembering the rule of signs:

(+)*(-) = (-)

(+)*(+) = (+)

(-)*(+) = (-)

(-)*(-) = (+).

The only option that meets that rule is:

6.8*1.3 = 8.84

Where the product of two positive numbers gives another positive number (and the equality is true) so we conclude that this number sentence is true.

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suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are less than 74 inches tall?

Answers

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

  z - score = 2   corresponds to .9772    97.7 %

2. Anita and Basia are selling packs of candy for a school fundraiser. Anita has six more
a
packs than Basia. If Basia has eight packs, write an expression using an operation to
represent how many packs of candy Anita has.


I need help

Answers

Answer:

a = b + 6

b = 8

Step-by-step explanation:

a = b + 6

b = 8

Your friend says that the quotient 3/8 divided by 1/8 is 1/3 what is the correct quotient? What mistake did you friend likely make?

Answers

Answer:

its 1/8

Step-by-step explanation:

he said 1/3 it does not match the other 2 numbers hope its right ;-; also helpfull

Sam receives a shipment of 36 football helmets. Of the 36 football helmets in the shipment, four of them were scratched and need to be returned. If another shipment of 108 helmets arrive, then how many are likely to be scratched

Answers

The number of football helmets which are likely to be scratched from the 108 helmets is; 12.

What is the number of helmets likely to be scratched?

It follows from the task content that of the initial shipment of 108 football helmets; four of them were scratched.

On this note, the number of helmets likely to be scratched from the new shipment of 108 helmets can be evaluated by ratios as;

x = (108 × 4)/36 = 12 scratched helmets.

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A bags 4 red marbles, 5 green and 9 blue. What is the probability of picking a red marble?

2/9
1/18
1/4
2/18

Answers

Answer:

1/4

Step-by-step explanation:

(I think ) sorry it it's wrong

If 45%of a number, n, is 225, what is 74% of n?

Answers

Answer:

if 45% of a number ,n, is 225, then 74% of a number ,n,is 370

If a 3 ft tall cardboard box casts a 6 ft long
shadow, then how tall is a tent that casts a
18 ft shadow?

Answers

Answer:

9 ft tall.

Step-by-step explanation:

The box that is 3 feet tall casts a 6 foot shadow, which is double the height. If we use inverse operations because we start with the shadow we will get 9 feet because 18 divided by 2 is nine.

What is the solution of the equation 6+q=25 1/2

Answers

Answer:

q = 19 1/2.

Step-by-step explanation:

Unknown value is q.

Solve for the unknown value:

6 + q = 25 1/2q = 25 1/2 - 625 1/2 - 6= 19 1/2.q = 19 1/2.Answer is q = 19 1/2.

Answer:

[tex]q=19\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1:  Subtract 6 from both sides

[tex]6 + q = 25\frac{1}{2}[/tex]

[tex]6 -6 + q = 25\frac{1}{2}-6[/tex]

[tex]q = (25-6)\frac{1}{2}[/tex]

[tex]q=19\frac{1}{2}[/tex]

Answer:  [tex]q=19\frac{1}{2}[/tex]

Hope this helps!  Let me know if you have any questions

Find the median of grouped data
HELP

Answers

The median of grouped data is the middle number in an organized data set, so basically you need to organize all the numbers from lowest to greatest and find the middle number, which is 6.

Answer:

6

Step-by-step explanation:

Median = (n+1) ÷ 2

Median = total frequency which is 55 + 1 = 56 ÷ 2 = 28th term.

So to find this term you add the frequencies until you get 28 or a number higher than 28.

3+1+10+15 = 29.

We got 29 when we got to the column of shoe size 6. So the Median is in shoe size 6.

find the product 12 times 2/3
simplify. Your answer completely

Answers

Answer:

2/3 X 12 =8

Step-by-step explanation:

2.

-----. X 12 =2 x 12= 24 Which is 24/3 =8

3

A display case of DVDs are marked 19 for $10. If Larry has $50, how many DVDs can Larry get? (Assume no tax or other fees.)

Answers

Answer:

95

Step-by-step explanation:

19 DVDs for 10 dollars and he has 50 dollars well 50 dollars is just 5 groups of 10 so just 19 x 5 = 95

What do you know to be true about the values of a and b?
60%
759
A. a B. a = b
C. a>b
D. Can't be determined

Answers

Answer:

I don't think there is a way the values can be determined...

If a and b are in different triangles then the true option is that values of a and b can't be determined.

What is triangle?

A triangle is a two dimensional figure having three sides and three angles.

Sum of angles of a triangle is equal to 180° whether it is a right angled or not.

How to find angle?

In first triangle one angle is x°, second is 75° and third one is a° and in second triangle one angle is 60°, second is y°, third one is b°.

Sum of angles in first triangle is x+75+a=180

Sum of angles in second triangle is y+60+b=180

because any relationship between x and y is not given in the questions so values of a and b cannot be determined.

Hence the correct option is D which is that values of a and b cannot be determined.

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Tripp decided to go on vacation to the beach. After driving 60% of the way, he decided to stop for lunch. If he stopped for lunch after 240 miles of driving, how many total miles will he have to drive?

Answers

Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

“which sport do you prefer soccer or basketball is”that biased or unbiased question

Answers

Answer: both

Step-by-step explanation:

Hello! i need help with this really bad

Answers

A is not linear A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

for each of its variables. In this case, the degree of variable

Not Linear

HELP ME WITH THIS PLEASE HUURRYY

Answers

Answer:

the answer would be A, 78.52

Step-by-step explanation:

The table shows when the tickets for a concert are sold and the types of tickets that are sold. What is the probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance?
Hint- Use the addition rule
A) 148/250
B) 100/250
C) 140/250
D) 188/250

Please help I keep getting it wrong, I’ve tried A and B.

Answers

Answer:

D. 188/250

Step-by-step explanation:

Total number attending concert is 250

Total number of adults AND tickets purchased in advance:

48 + 100 + 40 = 188

Divide by 250:

[tex]\frac{188}{250}[/tex]

The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.

The probability of A or B can be calculated as,

P(A or B) = P(A) + P(B) - P(A and B)

Let A denote the people is an adult.

Let B denote the people who has purchased the ticket in advance.

P(A) = 148/250

P(B) = 140/250

P(A and B) = 100/250

Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,

P(A or B) = 148/250 + 140/250 - 100/250

              = 288/250 - 100/250

               = 188/250

Hence the required probability is 188/250.

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Select the fraction that is equivalent to 1/3. (2 points)

a
2/6

b
4/6

c
3/4

d
2/3

Answers

Answer:

A 2/6

Step-by-step explanation:

1/3

x 2/2

2/6

Three quarters the product of two numbers x and y

Answers

The Three quarters the product of two numbers x and y is 3/4 *x* y

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

In elementary algebra, those symbols  represent quantities without fixed values, known as variables.

As, quarters represent 1/4

So, three quarters= 3/4

Let the two number be x and y.

Then , 3 quarters of x and y product be,

=3/4*x*y

= 0.75*x*y

Hence, the expression of given statement is 3/4*x*y.

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If you roll two fair six-sided dice, what is the probability that the sum is 9 or higher?
Pls answer!!!

Answers

Answer:

4/11

Step-by-step explanation:

The chance of getting the sum of any number(2 thought 12) is 1/11

so

9 = 1/11

10 = 1/11

11 = 1/11

12 = 1/11

so, 4/11

A soccer team is having a car wash. The team spent $55 on supplies. They earned $330, including tips. The team's profit is the amount the team made after paying for supplies. Use a sum of integers to find the team's profit.

Answers

This problem is very simple just subtract 55 from 330, which is 275. Hope this helped :)

Fill in the table using this function rule.
-
y=-6x-2

Answers

Answer:
(x,y)
(-5,28)
(-1,4)
(0,-2)
(1,-8)

Step-by-step explanation:

You just have to plug in the values of x into the function rule to get all the values. Hope this helps!

Which of the following are polynomials?

Answers

The equations in options B and D are the polynomials other equations are not polynomial.

What is polynomial?

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The exponent of the polynomial should be always a whole number like {0,1,2,3,4,5,6,.........}

Here in the option, only two equations are polynomials that are

(2/3)x²+x+1  and   x³+2x+√2

Hence the equations in options B and D are the polynomials other equations are not polynomial.

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Eight less than four times a number is twelve. What is the number?

5

1
-3


-5

Answers

-5 plus five is 3. 3 times 4 is twelve. (-5) is the answer.
The last one. -5 is the answer

I can get the mean and the mode but I forgot how to get the mode

Answers

Answer:

median = 535

mode = 540

mean = 538.75

Step-by-step explanation:

To find the median, place the scores in order from smallest to largest, then find the middle score:

390, 460, 480, 480, 500, 510, 520, 530, 540, 540, 540, 580, 620, 630, 650, 650

As there is an even number of scores (16), the median is the average (mean) of the two middle scores (highlighed above).

Therefore, the median is 535

The mode is the number that appears the most.

Therefore, the mode is 540.

The mean is the total of the scores divided by how many scores there are.

Mean = (390 + 460 + 480 + 480 + 500 + 510 + 520 + 530 + 540 + 540 + 540 + 580 + 620 + 630 + 650 + 650) ÷ 16

⇒ Mean is 538.75

Find the surface area of a square pyramid with side length 6 cm and slant height 5
cm.

Answers

The surface area of the square pyramid is 96 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 5 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = [tex]A+\frac{1}{2}Pl[/tex]

Where,

[tex]A=[/tex] area of the base = [tex]s^2=6^2=36[/tex] sq mi

[tex]P=[/tex] perimeter of the base = [tex]4(s)=4*6=24[/tex]  mi

[tex]l=[/tex] slant height = 5 mi

Plug in the values

[tex]SA=36+\frac{1}{2} *24*5[/tex]

[tex]SA=36+60[/tex]

[tex]SA=96[/tex]

The surface area(SA) of the square pyramid is 96 sq. mi

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A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. What is the volume of the roof to the nearest tenth of a foot? What is the volume of the entire house, including the roof?

Answers

The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

How to find the volume of the composite figures?

To find the volume of the composite figures, follow the steps listed below:,

Separate the figure.Calculate the volume of each figure by which the composite figure is made of.Add the volume of all the individual figures to get the total volume of composite figures.

A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

[tex]V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3[/tex]

The volume of the room is:

V=length x width x height

V=40 x 40 x 30

V=48000 ft³

The volume of the entire house, including the roof, is,

V=10667+48000

V=58667 ft³

Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

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There are 4 consecutive even integers that sum to 68. What are the integers?

Answers

Hi there,

Let x be the first number.Then the next three even numbers are x+2, x+4, and x+6.The sum of these numbers is 68

So,

x + (x + 2) + (x + 4) + (x + 6) = 68

Simplify and solve for x.

4x + 12 = 684x = 68 - 12x = 56/4x = 14

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

What are consecutive integers?Consecutive integers are integers that follow each other in order.
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