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Svetllana [295]
3 years ago
8

30. Each interior angle of a regular polygon is 4 times each exterior ang

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer:

(a) the size of each exterior angle  360/10=36

(b)  the number of sides of the polygon.​ 10

Step-by-step explanation:

Each interior angle of a regular polygon is 4 times each exterior angle

∴sum of interior angles: (n-2)*180=4*360

n-2=8

n=10

(a) the size of each exterior angle  360/10=36

(b)  the number of sides of the polygon.​ 10

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Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​
Assoli18 [71]

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = \frac{1}{2}aP

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

                                             = 30 cm

Substituting these values in the formula,

Area = \frac{1}{2}(4.1)(30)

        = 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

8 0
2 years ago
Please answer correctly ! Will mark brainliest answer !!!
Andreyy89

Answer:

The answer is the first one.

6 0
2 years ago
the cost of a small cup of coffee at a deli is $3.50. You can use the equation t=3.5n, where t represents the total money made f
Kazeer [188]
3.5, it is the coefficient and describes how many n there are
3 0
3 years ago
I NEED HELP PLEASEEE! <br> thank you :)
Artemon [7]

Answer:

70°

Step-by-step explanation:

The tangent- chord angle is one half the measure of the intercepted arc.

intercepted arc = 360° - 220° = 140°, thus

inscribed angle = 0.5 × 140° = 70°

5 0
3 years ago
Read 2 more answers
Sabiendo que lo ancho de un terreno rectangular mide 24.7 m y que su perímetro es de 131.8 m. ¿Cuánto mide cada uno de sus lados
nadya68 [22]

Answer:

El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.

Respuesta:

De largo mide 16m

De ancho mide 8m

Explicación paso a paso:

Perímetro = número de lados multiplicado por longitud del lado.

Formula: P = 2(a + b)  o    P = 2b + 2h

Donde: P = Rectángulo del perímetro

           a y b = Longitudes de lados

Asignamos las variables:

Largo = 2x

Ancho = x

Utilizamos la formula:

2(x) + 2(2x) = 48

2x + 4x = 48

6x = 48

x = 48/6

x = 8m  (ancho)

2x

2(8)

16m (largo)

Step-by-step explanation:

4 0
3 years ago
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