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mario62 [17]
3 years ago
6

Find the area of a regular decagon with a perimeter of 60 ft.

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

Area of a regular decagon with a perimeter of 60 ft. = 277 squared ft

Step-by-step explanation:

Decagon has 10 sides    So 60/10 = 6 (each side = 6ft )

The sum of the  interior angles of a decagon  is 1 440 degrees.

There are  10 equal isosceles triangles of base angles 72 degrees  in a decagon

Each isosceles triangle can subdivided into 2 right-angled triangles with height h and base length = (6/2) = 3 cm and base angle 72 degrees.

Height of right-angled triangle h = 3 tan 72 ft.

Area of 1 right-angled triangle = (1/2)(3)(3 tan 72) = 13.85 squared ft  

Area of decagon = 20 right-angled triangles = 277 squared ft

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Xavier and Ava are employees for a company. Xavier is making a salary of $42,700.
MrMuchimi

$62,342 is the salary earned by Ava.

<u>Step-by-step explanation</u>:

<u>step 1</u> :

Xavier's salary = $42,700

<u>step 2</u> :

Ava's salary = 46% higher than Xavier salary.

                    = 100% of Xavier salary + 46% of Xavier salary

                    = 146% of Xavier salary

<u>step 3 </u>:

Ava is earning a salary = (146/100)\times42,700

                                      = 146 \times 427

                                      = 62,342

∴ Ava is earning a salary of $62,342.

7 0
3 years ago
Identify the constant of proportionality in the equation.
nikitadnepr [17]

Answer:

12

Step-by-step explanation:

4y = 48x

Divide each side by 4

4y/4 = 48/4

y = 12x

The constant is 12

8 0
3 years ago
Read 2 more answers
Can someone please explain to me how to work this out?
Ludmilka [50]

Answer:

B

Step-by-step explanation:

the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.

For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.

hope this helps!

3 0
3 years ago
Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia.
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Respuesta:

19

Explicación paso a paso:

Si se van a plantar 361 limoneros en un campo cuadrado;

Entonces, el número de plantas en cada fila debe ser el mismo por columna;

Sea el número de plantas por hilera = x

Número total de plantas = x²

361 = x²

Saca la raíz cuadrada de ambos lados

√361 = √x²

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5 0
3 years ago
The figure shows circle C with tangent lines QR and SR.
nadya68 [22]

Answer:

1. is true

2. false

3. true

Step-by-step explanation:

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