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3 years ago

Determine if a triangle can be formed with the given lengths. If it can, classify it as acute,

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Answer:

steps below

Step-by-step explanation:

1. It can be formed a triangle: sum of any two sides is greater than the 3rd side

2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²

the triangle is an obtuse-angled triangle if the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)

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3 years ago

What Fraction Of The Wall Did Kevin Paint?

Mila [183]

Kevin painted $\frac{1}{9}$ of the wall.

Solution:

Fraction of the wall painted by Elena = $\frac{5}{9}$

Fraction of the wall painted by Matthew = $\frac{3}{9}$

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

To find the wall painted by Kevin:

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

$$=1-\frac{5}{9}-\frac{3}{9}$

$$=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}$

To make the denominator same, multiply the numerator and denominator of the first term by 9.

$$=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}$

$$=\frac{9-5-3}{9}$

$$=\frac{1}{9}$

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3 years ago