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schepotkina [342]
3 years ago
13

A triangle has a side length of 11, and a side length of 17. The third side length is also a positive integer. How many differen

t possible values are there for the third side length? (Assume that the triangle is non-degenerate.)
Mathematics
2 answers:
damaskus [11]3 years ago
4 0

Answer:

21 different positive integers could be the length of the third side.

Step-by-step explanation:

By triangle inequality, the sum of two sides cannot be greater than the third.

This means that the third side is between (17-11)=6 and (17+11)=28.

How many integers are between there? You could write them out and count them!

Or!

The highest integer the third side can be is 27 and the lowest integer it can be is 7.

So 27-7+1=20+1=21.

Murljashka [212]3 years ago
3 0

It would be in between 28-6

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Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
3 years ago
! PLEASE HELP QUICKLY !
Travka [436]

Answer:

see below

Step-by-step explanation:

y= 1/2x - 2

To find the x intercept, set y =0 and solve for x

0= 1/2x - 2

Add 2 to each side

2 = 1/2x -2+2

2 = 1/2x

Multiply by 2

2*2 = 1/2x *2

4 =x

The x intercept is 4

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3 years ago
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to ea
Musya8 [376]
I couldn’t put the answer here here’s a link! Good luck!

Iwaskidding.lol

1. Is 2(1/3)
2. Is 4(1/5)
3. Is 3(1/9)
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8 0
2 years ago
The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
vovikov84 [41]

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
8 0
2 years ago
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