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2 years ago

find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Part 4

Mathematics

1 answer:

Yuri [45]2 years ago

7 0

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= $\frac{θ°}{360°} \times \pi {r}^{2}$

1) Area of sector

$= \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)$

2) Area of sector

$\frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)$

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On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling

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Answer:

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Step-by-step explanation:

The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!

Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft

To find: Shape of Sail .i.e., shape of triangle

We use a result which states that

if a , b , c are sides of triangle where c is greater then a & b.

now, if c² < a² + b² then triangle is Acute angled

if c² = a² + b² then triangle is Right angled

if c² > a² + b² then triangle is Obtuse angled

here a = 7 , b = 7 & c = 15

c² = 15² = 225

a² + b² = 7² + 7² = 49 + 49 = 98

since, c² > a² + b²

⇒ Triangle must be Obtuse Angled.

Therefore, Shape of Triangular sail is Obtuse Angled Triangle.

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