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SSSSS [86.1K]
3 years ago
12

How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain. Any three sides form a unique trian

gle, so these lengths can be used to draw exactly 1 triangle. If you draw two of the sides together, the third side could angle in or out from the existing angle, so these lengths can be used to draw exactly 2 triangles. Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles. Any three sides form many triangles with different angles, so these lengths can be used to draw infinitely many triangles.
Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

<em>Verify</em>

1) 8+12 > 24

20>24 ----> is not true

so

The Triangle Inequality Theorem is not satisfied

therefore

Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles

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Answer:

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Step-by-step explanation:

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4 years ago
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A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend
Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

b+c=150\\10*b+14*c=11*150

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5

Now, solve for b by replacing the value obtained into the first equation

b+c=150\\b= 150 - 37.5\\b=112.5

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

6 0
3 years ago
Express each of the following fractions as a mixed number (the sum of a whole number and the remaining fractional units).
expeople1 [14]

8/5 = 1 3/5

(5 x 1 = 5 + 3 = 8, to get 8/5)

13/12 = 1 1/12 (12 x 1 = 12 + 1 = 13, to get 13/12)

Hope this helped! :D

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3 years ago
HELP<br> PLEASE I WILL GIVE BRAINLIEST
gayaneshka [121]
Out of the three options the first one is the right answer with the given numbers <span />
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3 years ago
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Sunny_sXe [5.5K]

Answer:

Its an irregular Quadrilateral shape

Step-by-step explanation:

It that because a regular Quadrilateral shape had all equal side lengths. Irregular quadrilateral shape is the opposite of this. Sorry I couldn’t make it in time.

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3 years ago
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