A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.

So, by the triangle inequality theorem, 1+x>8, which means x>7.

So, the smallest possible whole number length is 8.


Related Questions

et
Which is true regarding Armando's use of algebra tiles?
O He used the algebra tiles correctly.
He did not represent the two original factors correctly.
O The signs on some of the products are incorrect.
O Some of the products do not show the correct powers
of x.

Answers

Answer:

The Last One

Step-by-step explanation:

hope this helps :))

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. 128. 75 to 147. 25 130. 98 to 145. 02 132. 10 to 143. 90 137. 38 to 138. 62.

Answers

The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]


How to find the confidence interval for population mean from large samples (sample size > 30)?

Suppose that we have:

Sample size n > 30Sample mean = [tex]\overline{x}[/tex]Sample standard deviation = sPopulation standard deviation = [tex]\sigma[/tex]Level of significance = [tex]\alpha[/tex]

Then the confidence interval is obtained as

Case 1: Population standard deviation is known

[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}[/tex]

Case 2: Population standard deviation is unknown.

[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}[/tex]

For this case, we're given that:

Sample size n = 90 > 30Sample mean = [tex]\overline{x}[/tex] = 138Sample standard deviation = s = 34Level of significance = [tex]\alpha[/tex] = 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).

At this level of significance, the critical value of Z is: [tex]Z_{0.1/2}[/tex] = ±1.645

Thus, we get:

[tex]CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90][/tex]

Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

Learn more about confidence interval for population mean from large samples here:

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How many 3 digit numbers can be formed by 0; 2; 4; 5; 7 such that the digits are divisible by 5 and the repetition of any number is not allowed

Answers

Answer:

Three digit number to be divisible by 5 , the last digit should be 5 or 0

_ _ _5

Two remaining places can be filled in 4×3=12

_ _ _0

Two remaining places can be filled in 3×3=9 (0 cannot be filled in the first place, it will become 2 digit number).

Total =12+9=21

I’m very confused I hate this

Answers

Answer:

12

Step-by-step explanation:

its as easy as this:
what is 4 times 3?

12

Answer: the answer is 12 .

Step-by-step explanation: multiply 4 shirts times 3 shorts will give you 12 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST

.THANKS .

1x4-9-5/9+100-0+0x67x0 brianlest first answer

Answers

It’s 850/9
Here’s an explanation as a photo

Distrubutive property
1. 54+27=9 (_+_)

Answers

Answer:

9(6+3) = 54+27

Step-by-step explanation:

dunno how to explain but hope the answer helps

Hey there!

54 + 27 = 81

9(6 + 3)

= 9(6) + 9(3)

= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9

= 18 + 18 + 18 + 18 + 9

= 36 + 36 + 9

= 72 + 9

= 81

Thus, the equation answwr is: 81


Therefore, the overall answer is:

9(6 + 3)


Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Hey, need to solve for x

2(x-3)=9x+8

Answers

Answer:

x = -2

Step-by-step explanation:

2x-6 = 9x+8

-7x = 14

x = -2

PLEASE RATE!! I hope this helps!!

There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced. Find the probability of selecting 2 orange marbles in a row P(orange, orange). Write your answer as a simplified fraction

Answers

The probability of selecting two orange marbles with replacement is 36/169.

Data;

Orange= 6Red = 2Green = 4

Probability with replacement

Since after each draw, the orange marble is replaced.

The total number of marbles in the bag is

6+3+4 = 13

And the number of orange marbles is 6.

For the first selection, the probability of selecting one orange is

[tex]P = \frac{6}{13}[/tex]

After drawn and replaced, the probability of selecting another marble is

[tex]P = \frac{6}{13}[/tex]

And the probability of selecting two orange marbles with replacement is

[tex]P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}[/tex]

The probability of selecting two orange marbles with replacement is 36/169.

Learn more on probability here;

https://brainly.com/question/24756209

The sum of a number $x$ and 4 equals 12.

An equation that represents this sentence is
.

Answers

Answer:

(3 x 1) x 4 = 12

Consider 4(2x + 3) = 2(4x + 6) after each
side of the equation is simplified.
Why does the equation have infinitely many
solutions?

Answers

Hope this helps you

Good luck

Write each expression without the absolute value symbol |3x+12|

Answers

Answer:

3x+12 if x>-4

0 if x=-4

-3x-12 if x<-4

can you please help me?

Answers

Answer:

$91.30

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 in the morning and 4.15 in the afternoon)

8.30 hours x $11 per hour: $91.30

Keeram ordered 15 1/2 kg of juniper berries for her store. But 2/7 of them arrived bruised and mushy how many kg of useable berries did she receive?

Answers

Answer:

11.07~

Step-by-step explanation:

2/7 of 15.5 is 4.42857142857 which we can round to 4.43. We can then just do 15.5-4.43 to get our answer of 11.07.

Can somebody please help me? :(

Answers

Answer:

143 square meters

Step-by-step explanation:

The surface has a width of 11 meters and a length of 13 meters.

13 x 11 = 143.

Is this correct?

Help please I need helps please

Answers

Answer:

I belive the answer is 96 ft.

Step-by-step explanation:

Hope that helps!

4x−4<8 AND 9x+5>23

Doing Khan Academy
HelP!!

Answers

Answer:

x<3 and x>2

Step-by-step explanation:

write the symbols this < and > to get the correct answer

svp c'est pour un dm de math

Answers

Answer:

d

Step-by-step explanation:

the answer is d because we learned about this everyday

The number of people at last Saturday's Norchester City game was 12 400. Season ticket holders made up 3/8 of the crowd. How many season ticket holders were there?​

Answers

Answer:

4,650.

Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).

find the simple interest #70000 for 7 1/2 at 3% per annum​

Answers

Answer:

I think 1575000 but not sure sorry if i'm wrong

What is the total amount paid for a $60 meal with a 15% tip and 8% tax?

Answers

Answer:

I believe it would be 73.8 or if they are rounding up 74.

Step-by-step explanation:

15% of 60 is *9* and 8% of 60 is *4.8*

9+4.8=13.8

13.8+60=73.8.

what do you call the statements that are assumed to be true and do not need proof?​

Answers

Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

Which strategy would most help minimize the risk of being underinsured

Answers

The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

What is a deductible?

It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.

In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

Learn more about deductible on:

https://brainly.com/question/5306277

#SPJ1

Answer:

choosing max coverage

Step-by-step explanation:

Write -1.7 repeating as a fraction

Answers

Answer:

-1 7/10

Step-by-step explanation:

Hope that helps!!!

1 m cube is equal to how many centimetre cube? ​

Answers

Answer:

1,000,000 cm³

Step-by-step explanation:

A cube has 3 dimensions of equal measure:  length, width and height

To determine the volume of a cube, we multiply the dimensions:

⇒ volume of a cube = length × width × height

1 metre = 100 centimetres

Therefore, for a cube with a length, width and height of 100 cm:

⇒ volume = 100 cm × 100 cm × 100 cm

                 = 1,000,000 cm³

Please Help! Will Give Brainlest! Locks In an Hour! Please try again if brainly Deletes your Answer!

Answers

Answer:

The answer to your question would be -0.383

Step-by-step explanation:

I have no idea why it's deleting my answers, but that's the best choice.

Find x.

A) 32
B) 8
C) 16
D) 24

Answers

Answer: D

Step-by-step explanation:

I will give BRAINILEST

Answers

Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

!Need answer quickly!
The preimage of the triangle (yellow) has the following coordinates:

A. (3,-4) (red dot)
B. (9,0) (yellow dot)
C. (7,-6) (blue dot)

Describe the translation from the preimage to the image and include how the x and y values of the ordered pairs changed. (Please put real answer or else I'll report you)

Answers

Answer:

(x-5;y+6)

Step-by-step explanation:

1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then

2) the rule of the translation is: (x-5;y+6).

* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.

On Thursday, Tyler's math teacher helped her write the expression t = -2(3 + h) to represent the temperature change for that day. Circle all of the expressions below that are equivalent to t = -2(3 + h).
a. t = 6 - 2h
b. t = 4h-6h - 6
c. t = -2h - 6
d. t = h(3.5 – 5.5) + (-6)​

Answers

Answer:

-2 * 3 = -6

-2 * h = -2 h

C) is equivalent to this result

The length of one leg of an isosceles right triangle is 3 ft. what is the perimeter of the triangle? 3 3 startroot 2 endroot ft 3 3 startroot 3 endroot ft 6 3 startroot 2 endroot ft 6 3 startroot 3 endroot ft

Answers

The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft


What is an isosceles right angled triangle?

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

Referring to the figure, assuming:

Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.

Using the Pythagoras theorem, we get:

[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]

It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.

Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]

Thus, perimeter of the triangle as:

[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]

Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Answer:

    C    :    6 + 3√2 ft

Step-by-step explanation:

it is right

trust me

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