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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

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What is the product of

nydimaria [60]

$\frac{10}{ m^{5} }$

3 0

3 years ago

The area of a rectangular bathroom mirror is 9 square feet. the mirror is 3 feet wide. how tall is it?

lisabon 2012 [21]

You multpily the length and the width to find the area of a shape. If the square is 3ft wide, then the square is also 3 ft long if the area is 9.
so, how tall is it?
3 ft. I meant rectangle. Its still the same for the height.

5 0

3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image

Levart [38]

Answer:

ΔABC was translated right 4 units and down 4 units.

Step-by-step explanation:

A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)

So, the transformation is (x, y) ⇒ (x +4, y -4).

Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).

6 0

3 years ago

Read 2 more answers

(4x+2)=102+44 solve for x

sergiy2304 [10]

<h3>Solution:</h3>

(4x + 2) = 102 + 44
or, 4x = 102 + 44 - 2
or, 4x = 144
or, x = 144 ÷ 4
or, x = 36

<h3>Answer:</h3>

x = 36

8 0

2 years ago

Read 2 more answers