A triangle has two sides of length 6 and 12. What is the smallest possible whole-number length for the third side?

Answers

Answer 1

Answer: 7

To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.

So by the triangle inequality theorem, 6+x>12 meaning the minimum whole number value of x is 7.


Related Questions

Two teachers compared the mean absolute deviation of the scores from the semester exam they gave to their students. Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. What can we conclude? * 10 points A. Mrs. Alvarez's scores were lower than Mr. Crawford's scores. B. Mrs. Alvarez's scores were more spread out than Mr. Crawford's scores. C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores. D. Mrs. Alvarez's scores were higher than Mr. Crawford's scores.

Answers

Answer:

C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Step-by-step explanation:

Mean Absolute Deviation is one of the Statistical measures which we can you to determine the variation that exist amongst a given set of data

Mean Absolute Deviation can be defined as how far or the distance between one set of data to another set of data.

The smaller the Mean Standard Deviation, the lower the degree of variation in the set of data. The data is less spread out

The larger the Mean Standard Deviation, the higher the degree of variation in the set of data. The data is Largely spread out

We are told in the question that:

Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. Our conclusion would be that Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Option 2 is correct.

Solve −x+4y−28=0 for y .

Answers

Answer:

y= -x/4 +7

Step-by-step explanation:

x+4y−28=0

Subtract x from both sides. Anything subtracted from zero gives its negation.

4y−28=−x

Add 28 to both sides.

4y=−x+28

The equation is in standard form.

4y=28−x

Divide both sides by 4.

4y/4 = 28−x/4

Dividing by 4 undoes the multiplication by 4.

y= 28-x/4

Divide −x+28 by 4.

y= -x/4 +7

HOPE THIS HELPS! PLEASE MARK AS BRAINLIEST.

An object is moving at a speed of 5 kilometers every 4.5 hours. Express this speed miles per minute. Round your answer to the nearest hundredth. Someone please help me I’m struggling with this one

Answers

Answer:

speed is 0.01 miles per minute

Step-by-step explanation:

We know speed = distance/time

since we need speed in miles per minute we need to convert KM into miles

and hours in minutes

--------------------------------------------------------

distance = 5 km

1 km = 0.621371 miles

5KM = 5*0.621371 miles = 3.10686 miles = 3.12 miles(rounded to nearest hundredth)

1 hour = 60 minutes

4.5 hours = 4.5*60 minutes = 270 minutes

speed = distance in KM/time in minutes = 3.12 miles/270 minutes

speed = 0.012 miles per minute

rounding the answer to  the nearest hundredth

speed is 0.01 miles per minute

An aircraft carrier traveled to dry dock an back. The trip there took 2 hours and the trip back took 3 hours. It averaged 5 miles per hour faster on the trip there than on the return trip. Find the aircraft carrier's average speed on the outbound trip

Answers

Answer:

Step-by-step explanation:

Average speed = distance/time

Trip to dry dock

Let x be the velocity

Time = 2hours

Distance = average speed ×time

Distance = x×2

Distance = 2x

Return trip

Velocity = x-5 (5 miles per hour faster on the trip there than on the return trip)

Time = 3hrs

Distance = 3(x-5)

Since the distance is the same both to and fro;

2x = 3(x-5)

2x = 3x -15

2x-3x = -15

-x = 15

x = 15

Hence the aircraft carrier's average speed on the outbound trip is 15miles/hour

The rock has fallen how many feet?

Answers

Answer:

we can't see please zoom in.

Step-by-step explanation:

uhhh not sure to be honest

Does anyone know this?

Answers

Your slope is -1/7 hope this is right

how to solve Simplify (4x - 5) - (3x - 10).

Answers

Answer:

[tex]x+5[/tex]

Step-by-step explanation:

[tex]\left(4x-5\right)-\left(3x-10\right)[/tex]

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(4x-5\right)=4x-5[/tex]

[tex]=4x-5-\left(3x-10\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]

[tex]-\left(3x-10\right)=-3x+10[/tex]

[tex]=4x-5-3x+10[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=4x-3x-5+10[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-5+10=5[/tex]

[tex]=4x-3x+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4x-3x=x[/tex]

[tex]=x+5[/tex]

how to convert 0,3 to a common fraction .​

Answers

Answer:

1/3

Step-by-step explanation:

Which of the equations shown have infinitely many solutions? Select all that apply.

Answers

Answer:

Where is the answer choices?

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

Another way to solve a direct variation equation is by setting up a proportion. O True O False​

Answers

Answer:

true

Step-by-step explanation:

Another way to solve a direct variation equation is by setting up a proportion.

How much will Molly’s monthly payment be using the Bankrate calculator?.

Answers

Molly’s monthly payment by using the Bankrate calculator is $286 per month.

It is given that

The downpayment Molly has = $2500.

Interest rate APR = 1.9%

Cash allowance by dealer = $500

Selling price = $25,495

Loan tenure N= 7 years

Amount of loan needed = 25495-2500-500 = $22495

What is Equated monthly payment(EMI)?

An equated monthly installment (EMI) is a set monthly payment provided by a borrower to a creditor on a set day, each month.

The EMI or monthly payment will be calculated by the following formula,

[tex]EMI = \frac{P.\frac{APR}{12} .(1+\frac{APR}{12})^N }{(1+\frac{APR}{12})^N-1 }[/tex]

Put APR =0.019(decimal value of APR)

N = 7

EMI = $286 per month.

Therefore, Molly’s monthly payment by using the Bankrate calculator is $286 per month.

To get more about EMI visit:

https://brainly.com/question/25658911

victor Donates $25 each month to a children's Charity and Donates a bounus 100$

Answers

Answer:

he donates 125

Step-by-step explanation:

Solve and write your answer as a fraction

Answers

Answer:

98/5 = 19 3/5

72/2 = 36

58/9 = 6 4/9

82/7 = 11 5/7

Price is $45.50 Sales Tax is 6% What is the total cost? *

Answers

Answer: $48.23

Step-by-step explanation:

The sales tax would be $2.73

Answer:

$ 48.23

Step-by-step explanation:

Lmk if its correct <3 Hope my answer helped, and have an amazing day :)

Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 58.00 ounces. One bag of cereal weighs 20.05 ounces, the other weighs 18.65 ounces. How much does the box weigh?

Answers

Answer:

add the amount of the bags. you will end up with 38.70 Oz. the subtract the number from the total and you ger 19.30 Oz. the box weighs 19.30 oz.

find 738 × 103 using distributivity.




Answers

Answer:

the correct answer is 76014

Guys I need help on this !

Answers

Answer:

it is parallel

Step-by-step explanation:

can someone show me how to do this

Answers

Answer:

7 (i think i dont really know)

Step-by-step explanation:

you can kinda just estimate it (when its the middle) to half

if you dont know the middle, then you just have to first

minus the numbers

than find half of that number

6 • 7 = 42
Good Luck and be careful from suspicious links

Cameron earns four times as much as a tutor than a fast food worker. His sister only has one job because she earns one and a half times as much as a tutor than Cameron. Her weekly wage is $250 more than Cameron. How much does Cameron earn as a tutor?

Answers

Answer:

$500 per week.

Step-by-step explanation:

Let Cameron earns $x as a tutor.

As his sister earns one and a half times as much as a tutor, so, his sister earns $1.5x.

Since the weekly wage of Cameron's sister is $250 more than Cameron, so

[tex]1.5x=x+250[/tex]

[tex]\Rightarrow 1.5x-x=250[/tex]

[tex]\Rightarrow 0.5x=250[/tex]

[tex]\Rightarrow x=500.[/tex]

Hence, the weekly earning of Cameron is $500.

Tom travels along the M1 from Leicester to London which is a distance
of 143 miles.
10
He sets off at 8:25 and gets there at 10:15.
Did he break the 70mph speed limit of the M1?

Answers

Tom did not break the 70mph speed limit of M1.

What is speed?

Speed can be defined as the rate of change of distance. The S.I unit of speed is m/s.

To know if Tom breaks the speed limit of the M1, we must first calculate Tom's speed and compare it to M1's speed limit.

Using the formula below,

s = d/t............... Equation 1

Where:

s = Tom's speedd = distance from Leicester to Londont = time taken to travel from Leicester to London

From the question,

Given:

d = 143 milest = 8:25 to 10:15 = 2 hours 10 munites = (2+10/60) = (2+0.17)t = 2.17 hours.

Substitute these values into equation 1

s = 143/2.17s = 65.899 mph.

Hence, Since Tom's speed is less than the M1 speed limit, Tom did not break the 70mph speed limit of M1.

Learn more about speed here: https://brainly.com/question/4931057

PLEASE HELP ME WITH THIS

Answers

Answer: 52

Step-by-step explanation:

Complete this item.

Identify 1 and 2. Select all that apply of the following terms:

complementary
supplementary
acute
adjacent
right
obtuse
vertical

Answers

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

Adjacent angles because both a common arm and a common vertex.

Supplementary angles because sum of both angles is 180°.

Step-by-step explanation:

What is the equation of the line that passes through the point (3,-5) and has a slope of 0

Answers

Answer:

The answer is

[tex] \huge y = 5[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (3,-5) and slope 0

We have

[tex]y + 5 = 0(x - 3) \\ y + 5 = 0 \\ y = 5[/tex]

We have the final answer as

[tex]y = 5[/tex]

Hope this helps you

An adult male blue whale weighs about 160 tons (1 ton = 1,000 kg). Show that the weight of an adult blue whale is equal to 1.6 × 105 kg.

Answers

Answer:

Step-by-step explanation:

1.6x10^5=160,000;    160x1000=160,000

Use each of the digits 0, 1, 2, 3, 4 exactly once to make the largest number that is less than 30,000.

Answers

Answer:

The answer is

24,3210

Which set of shapes contains members that are always similar to one another?.

Answers

Answer: Equilateral triangles.

Explanation: We know that in similar polygons, its all the corresponding angles are congruent. Only the set of equilateral triangles contains members that are always similar( by AAA similarity criteria) to one another as the measure of all the angles of equilateral triangle is fixed i.e. 60°.
Rest other do not have fixed measure for angles in it.

If X^2= 200 then what is X?

THIS IS IMPOSSIBLE!!!!!!!!!!!!!!!

Answers

Answer:

X is about 14.1

Step-by-step explanation:

Hi!

In order to solve this problem, we just have to take the square root of both sides:

x²=200

x times itself should equal 200.

And the answer is

x≈14.1

In case you didn't know:

≈ means "approximately equal to"

Hence, the answer is

[tex]\boxed{\boxed{\bold{x=14.1...}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please use the comment section.

#LearningDoesn'tEnd

#LearningIsFun

HELP ASAPP!!! PLEASEE!!!

Answers


I think no.2 is the r8 ansans

so I am not that smart and need help please​

Answers

Answer:

D

Step-by-step explanation:

C, on the chart you can see it’s hours and how much they are paid for working that many hours

Rewrite the expression in a to the power of n form

Answers

Answer:

[tex]a^{-7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{-13} }{a^{-6} }[/tex]

= [tex]a^{(-13-(-6))}[/tex]

= [tex]a^{(-13+6)}[/tex]

= [tex]a^{-7}[/tex]

Answer:

[tex]a^-7[/tex]

Step-by-step explanation:

[tex]\frac{a^m}{a^n}=a^{(m-n)}, then[/tex]

[tex]\frac{a^{-13} }{a^{-6} }[/tex]

[tex]=a^{(-13-(-6))}[/tex]

[tex]=a^{(-13+6)}[/tex]

[tex]=a^{-7}[/tex]

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