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ycow [4]
3 years ago
15

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]3 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]3 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>
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If the original quantity is 10 and the new quantity is 13 what is the percent increase
Harman [31]

Answer:

As per the given statement:

Original quantity = 10

New quantity = 13

Change in quantity = New quantity - original quantity = 13-10 = 3

We have to find the percent increase.

\text{Percent increase} = \frac{\text{Change in quantity}}{\text{Original quanity}} \times 100

Substitute the given values we have;

\text{Percent increase} = \frac{3}{10} \times 100 = 30\%

Therefore, the percent increase is, 30%.

7 0
3 years ago
Need some help please
denis23 [38]
The median of this problem is 84
5 0
3 years ago
Read 2 more answers
List 0.5 1/5 0.35 12/25 4/5 from least to greatest
Anika [276]
One way is to make them all decimals or all fractions:

.5   .2  .35  .48  .80  are the numbers above changed to decimals.
I will make them the same length (two digit past the decimal point) to compare
.50   .20  .35  .48 and .80

Now it is easy to put them in order

.2  .35  .48   .5  and .80

Let's put them into all fractions

5/10   1/5   35/100   12/25 and 4/5

Instead of finding a common denominator let's try this:
Think of them as test scores - the person who got 1 out 5 did the worst
Next came the person who got only 35 out of 100 - they only did better than the one above (1/5)
12/25 is almost 1/2 but a little below half the questions right
5/10 is exactly half the questions right (so it is bigger than 12/25 by a little).
4/5 is the best score (and the only one who passed).
So 1/5, 35/100, 12/25, .5 and 4/5 are in order least to greatest and match the answer above in bold.
3 0
3 years ago
Read 2 more answers
Determine the value of x. 30° 45° 20° 60°
barxatty [35]

Answer:

x=30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=180/6=30

7 0
3 years ago
Help me please.<br><br> ------------------------------------------------
ladessa [460]

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

<u>Alicia</u>

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

<u>Carlos</u>

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

<u>Henry</u>

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

<u>Zoe</u>

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

Time: 1 3/10 = 13/10 = 1.3 hours

After that, divide the distance by the time

Alicia = 5.5 / 1.4 = 3.93 ( 3 s.f )

Carlos = 8.125 / 2.5 = 3.25

Henry = 3.6 re / 1.1 = 3.3 reoccuring

Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

Zoe = 3.54

Alicia hiked the highest rate.

5 0
3 years ago
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