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stira [4]
2 years ago
5

Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

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Answer:

Concept: Basic Multiplication

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3 years ago
The first term of an arithmetic sequence is 14. The 25th term is 206. What is the common difference of the arithmetic sequence?
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a1 =14

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subtract 14 from each side

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3. Resuelve el triángulo con A = 30º, a = 3 cm y b = 4 cm y comprueba que hay dos soluciones posibles.
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Answer:

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Step-by-step explanation:

Resolvemos esta pregunta usando la regla del seno

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Por lo tanto:

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B = arco sin [sin 30 × 4/3]

B = 41.81031 °

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