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Norma-Jean [14]

3 years ago

11

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

1 answer:

ehidna [41]3 years ago

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
<span><span><span>Area = 80 / 2.90616 </span> </span> </span>
Area = <span> <span> <span> 27.5277341922 </span> </span> </span>

<span><span> </span> </span> Source:
http://www.1728.org/polygon.htm

You might be interested in

Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp

tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

<em>The domain and the range of </em> $g(x) = 9x^2 - 2$ <em> is </em> $(-\infty, \infty)$ <em>.</em>
<em>The parent function </em> $f(x) =x^2$ <em> is vertically compressed by 9, then shifted down by 5 units to get </em> $g(x) = 9x^2 - 2$ <em />

<em />

Given

$g(x) = 9x^2 - 2$

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

<u />

<u>The parent function</u>

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$

Read more about functions at:

brainly.com/question/21027387

4 0

2 years ago

A professor wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of 30. In how many ways can the prizes be awarded

aniked [119]

Answer:

$Selection = 17100720\ ways$

Step-by-step explanation:

Given

$Students = 30$

$Positions = 5$ i.e. first to fifth

Required

Determine number of selection

1st position = Any of the 30 students

2nd position = Any of the 29 students

3rd position = Any of the 28 students

4th position = Any of the 27 students

5th position = Any of the 26 students

Number of selection is then calculated as:

$Selection = 30 * 29 * 28 * 27 * 26$

$Selection = 17100720\ ways$

8 0

3 years ago

Ken's fitness member ship cost $100 to join plus a $25 monthly fee. Ken also used a coupon to get 10% off the monthly fee. What

GREYUIT [131]

The equation that models the total cost is y = 100 + 22.5m

Step-by-step explanation:

Fitness member ship cost = $100

Monthly fee = $25

Discount = 10% on monthly fee

To calculate new monthly fee after discount,

25 - (25*10%) --> 25 - 2.5 --> $22.5

Number of months = m

Fee in m months = 22.5*m = 22.5m

<u>Equation:</u>

(c) is constant which is the membership fee

(x) is the monthly fee $22.5

(m) is the number of months

(y) is the total cost

So,

y = mx + c

y = m(22.5) + 100

y = 100 + 22.5m

Therefore, the equation that models the total cost is y = 100 + 22.5m

Keyword: Equation

Learn more about equations at

#LearnwithBrainly

5 0

3 years ago

Find the domains of the following functions:

larisa86 [58]

I think this is the answer to that,,, >y = 5x^2

3 0

2 years ago

Write an equation of the line passing theough the point (4,-1) and perpendicular to the line y=2x-5.

Gwar [14]

Icons ojzo kook oak am

7 0

3 years ago