All categories

2 years ago

Two sides of a triangle have lengths 11 and 18. Write an inequality to represent the possible lengths for the third side, x.

Mathematics

2 answers:

Hitman42 [59]2 years ago

6 0

Answer: $7$

Step-by-step explanation:

The triangle inequality tells that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Given: Two sides of a triangle have lengths 11 and 18.

The third side is represented by x.

So by triangle inequality, we have the following inequality:

$x\leq11+18\\\\\Rightarrow\ x\leq29$

Also, the difference between the lengths of any two sides of a triangle is less than the length of the third side.

$\Rightarrow18-11$

Thus, the inequality to describe the possible side length for the third side is

$7$

KatRina [158]2 years ago

3 0

<span>Side inequality of triangle states that the sum of any two sides of a triangle should be greater than the third side so the sum of two sides

In this case, 11 + 18 = 29 > 3rd side So 29 > 3rd side or we can say 3rd side < 29

Also, the third side cannot be smaller than the difference of the given two sides so the third side has to be greater than 18-11 = 7 so 3rd side > 7 so if length of 3rd side is represented by x, then 7 < x < 29</span>

You might be interested in

Corlos bought a book for $9 . now he would like to buy 4 other books for the same price .how much will he have to pay in all for

Rashid [163]

I'd do 9x4=36 because the 9 is from your money and the 4 is from your books. Now since you want to find out how much 4 books cost you just multiply that by 9

5 0

3 years ago

In the 2000 Sydney Olympics, a special program initiated by IOC president Juan Antonio Samaranch allowed developing countries to

jok3333 [9.3K]

Answer:

The means for times for the first round of the 100 meter men’s swim is 52.64789 seconds

The satandar deviation for times for the first round of the 100 meter men’s swim is 7.60182 seconds

Step-by-step explanation:

The sample mean for a set of n data is given by:

$\bar X = \frac{1}{n}\sum{x_i}$

In other words, the sample mean of the times for 71 times of the first round measured in seconds is:

$\bar X = \frac{1}{71}\sum{x_i} = 52.64789$ seconds

The sample standard deviation for a set of n data is given by:

$S = \sqrt{\frac{1}{n-1}\sum{(x_i - \bar x)^2}}$

In other words, the sample standard deviation of the times for 71 times of the first round measured in seconds is:

$S = \sqrt{\frac{1}{n-1}\sum{(x_i - \bar x)^2}} = 7.60182$ seconds

8 0

3 years ago

Solve for x in the equation<br> I need help ASAP

DedPeter [7]

The answer is D

You just move all numbers to the left and set it equal to 0
And then you add all same variables together
After that you use the quadratic formula

4 0

3 years ago

Read 2 more answers

For an independent-measures ANOVA comparing two treatments with a sample of n = 10 in each treatment, what is the critical value

trapecia [35]

Answer:

critical value is 4.41

Step-by-step explanation:

Given data

n = 10

α = .05

to find out

the critical value

solution

first we calculate degree of freedom i.e

degree of freedom = n -1

degree of freedom = 10 - 1

degree of freedom = 9

and

degree of freedom 2 =( n -1 ) 2

degree of freedom 2 =( 10 -1 ) 2

degree of freedom 2 = 18

so for degree of freedom 9 and degree of freedom 2 is 18 and α = .05

critical value is 4.41

4 0

3 years ago

A local salesman has forty-five stacks of magazines. If the salesman plans to sell three-fifths of the stacks, how many stacks w

Sophie [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers