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allsm [11]
3 years ago
12

Could 7.7 cm , 4.0 cm , 7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c,

m, end text, comma and 1.7 cm 1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?
Mathematics
2 answers:
Lyrx [107]3 years ago
8 0

Answer:

With given side lengths a triangle <u>could not</u> be created.

Step-by-step explanation:

Given:

First side length = 7.7 cm

Second side length = 4.0 cm

Third side length = 1.7 cm

We need find whether this could be the side length of the triangle.

Solution:

Now we know that;

By Triangle In equality property which states that;

"Sum of the two side length of the triangle must be greater than third side."

It should fulfill all three conditions;

So we will find the same.

Condition 1:

First Side + Second Side > Third side

7.7+4.0>1.7\\\\11.7>1.7

Hence This condition is true.

Condition 2:

Second side + Third Side > First side

4.0+1.7>7.7\\\\5.7>7.7

Hence This condition is False.

Condition 3:

First side + Third Side > Second side

7.7+1.7>4.0\\\\9.4>4.0

Hence This condition is true.

Since One of the condition is false hence With given side lengths a triangle could not be created.

hichkok12 [17]3 years ago
8 0

Answer: It was no

Step-by-step explanation: Khan

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Angles that create a triangle always add up to 180. 

To find sides that create triangles, we have to use the Triangle Inequality Theorem.
It's where side A + B will <em>always</em> be greater than side C
and B + C will always be greater than side A
<em>and</em> A + C will always be greater than side B.

So let's check all of these answers and pick the one that's incorrect.

A.
10 + 25 + 145 = 180?
Correct!

B. 
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15 + 9 > 9?
Correct!
9 + 9 > 15?
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C. 
40 + 70 + 60 = 180?
Incorrect! 40 + 70 + 60 = 175 which is less than 180.

The answer is three angles measuring 40 m, 70 m, and 60 m.

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Mary took a math test and she got four questions incorrect and 21 correct. What percent did answer correctly?
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Answer:

84%

Step-by-step explanation:

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\frac{84}{100} = 0.84

0.84 = 84%

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Answer:

∠ABD; Alternate Interior angles are congruent

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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
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Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
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<em>A.</em>

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total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

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and thus the average yield per acre = 150 - y;

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this is a quadratic equation. this can be rewritten as ,

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In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

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