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Natali5045456 [20]
3 years ago
15

A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possi

ble for the last side of the triangle?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

2 < c < 12

Step-by-step explanation:

Let the last side of the triangle = c

The sum of any two sides must be greater than the third side. Let's say we have triangle ABC, where a = 5 inches and b = 7 inches

a + b > c (1)

a + c > b (2)

b + c > a (3)

From (1);

a + b > c

7 + 5 > c

c < 12

From (2):

a + c > b

7 + c > 5

7 - 5 < c

c > 2

From (3):

b + c > a

5 + c > 7

c > 7 - 5

c > 2

So the possible lengths of c are: 2 < c < 12

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Answer:

A)σ = 15.37 miles per hour

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Step-by-step explanation:

Formula for standard deviation is;

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σ = √((70 - 36.67)² + (40 - 36.67)² + (30 - 36.67)² + (40 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (10 - 36.67)²)/(9 - 1)

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Read 2 more answers
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