All categories

3 years ago

What is the area of a pentagon using the side length of 4

1 answer:

3 0

In this equation, n = # of sides
Area = n * (side length)² / 4*tan (180 / n)
Area = 5 * 4² / 4 * tan (36)
Area = 80 / 4 * 0.72654
Area = 80 / 2.90616 
Area = 27.5277341922 

 Source:
http://www.1728.org/polygon.htm

You might be interested in

Parallelogram FGHJ was dilated and translated to form

Mrrafil [7]

Answer: The required scale factor of the dilation is 4.

Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units and J'H' = 8 units.

We know that

$\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.$

Therefore, the scale factor of the given dilation is

$S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.$

Thus, the required scale factor of the dilation is 4.

3 0

3 years ago

Read 2 more answers

At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick

DiKsa [7]

To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)

7 0

3 years ago

Sombody is taking a 1680 mile road trip. At the end of the first day they had completed 3/8of there trip. How many miles did the

patriot [66]

Answer:

Step-by-step explanation:

1680 mile road trip....they completed 3/8 of it...

so we need to figure 3/8 of 1680

" of " in math language means multiply

3/8 * 1680 = 5040/8 = 630 miles <===

7 0

3 years ago

Construct 3 linear equation starting with qiven solution z = 1/3

Andreyy89

Answer:

(a) $9z+2=5$

(b) $21z-11=-4$

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

Equation 1

$z=\frac{1}{3}$

Multiply both sides by 9

$9z=\frac{1}{3}\times 9\\9z=3$

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: $9z+2=5$

Equation 2

$z=\frac{1}{3}$

Multiply both sides by 21

$21z=\frac{1}{3}\times 21\\21z=7$

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: $21z-11=-4$

Equation 3

$z=\frac{1}{3}$

Multiply both sides by 6

$6z=\frac{1}{3}\times 6\\6z=2$

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: $4z=2-2z$

4 0

3 years ago

it takes electricians 36 days to wire a new housing subdivision. how many days would 32 electricians take to do the same job?

kolezko [41]

Answer:

The 32 electricians will take 1 day and 3 hours to complete the wiring.

Step-by-step explanation:

Since it takes electricians 36 days to wire a new housing subdivision, to determine how many days would 32 electricians take to do the same job the following calculation must be performed:

36/32 = X

1.125 = X

1 = 24

0.125 = X

0.125 x 24 = X

3 = X

Therefore, the 32 electricians will take 1 day and 3 hours to complete the wiring.

6 0

2 years ago