Which step would be used in the proof of the Pythagorean Theorem illustrated below?

You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surroun

KATRIN_1 [288]

<h3>Given</h3>

A regular polygon with area 500 ft² and apothem 10 ft

Cost of fence is $7.95 per ft

Part III The cost of fence around an area scaled to 60 times the size

<h3>Solution</h3>

You don't want to think too much about this, because if you do, you find the regular polygon has 3.087 sides. The closest approximation, an equilateral triangle, will have an area of 519.6 ft² for an apothem of 10 ft.

For similar shapes of scale factor "s", the larger shape will have an area of s² times that of the smaller one. Here, it appears the area scale factor s² is 60, so the linear scale factor is

... s² = 60

... s = √60 ≈ 7.7460

The perimeter fence of the 500 ft² area is presumed to be 100 ft long (twice the area of the polygon divided by the apothem—found in Part I), so the perimeter fence of the industrial farm is ...

... (100 ft)×7.7460 = 774.60 ft

and the cost to construct it is

... ($7.95/ft)×(774.60 ft) ≈ $6158

6 0

3 years ago

One day a store sold 36 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. In all, $404.65 worth of sweatshirts

Hatshy [7]

Answer:

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let <em>w</em> represent the number of white sweatshirts sold and <em>y</em> represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

$y+w=36$

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

$10.95w+11.5y=404.65$

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract <em>w</em> from both sides:

$y=36-w$

Substitute this into the second:

$10.95w+11.5(36-w)=404.65$

Distribute:

$10.95w+414-11.5w=404.65$

Simplify:

$-0.55w=-9.35$

Divide both sides by -0.55:

$w=17$

So, 17 white sweatshirts were sold.

Using the modified equation, substitute:

$y=36-(17)=19$

Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

7 0

3 years ago

the product of two numbers is 7904, and the absolute value of one of the numbers is 247. Find two possible solutions for the oth

Nina [5.8K]

Two Possible solutions for the other number are -32 and 32.

<h3>What are absolute value of a number?</h3>

Absolute value describes the distance from zero that a number is on the number line, without considering direction.

Overall, To find the absolute value of a number :

Let we have any number n ( it can be positive/negative ).

so, Absolute value of 'n' will be | n | (mod of n) , means we have to take positive value of the given number.

For example: | -3 | = 3

| 4 | = 4

| -1000 | = 1000

Now, For absolute value -

For example: Absolute value of 29 is 29.

Absolute value of -56 is 56.

Absolute value of -1000 is 1000.

We have given the product of two numbers is 7904.

Let say we have number 'a' and 'b'.

so, here : a x b = 7904. ------------ ( i )

The absolute value of one of the numbers is 247.

Let Absolute value of 'a' = 247

So the number 'a' can be either 247 or -247.

because absolute value of 247 is 247 and also absolute value of -247 is 247.

using equation ( i )

a x b = 7904

b = 7904 / a.

when a = 247

b = 32

when a = -247

b = - 32

Hence, Two Possible solutions for the other number are -32 and 32.

Learn more about "Absolute Values" from here: brainly.com/question/1301718

#SPJ9

8 0

2 years ago

Find the sum of 5x+20 and the opposite of 20. Write an equivalent expression in standard form.

baherus [9]

5x+(-20)=-15x and there you have it

5 0

4 years ago

Gordon made a scale drawing of a bedroom. This table shows the actual widths and the scaled widths for objects in Gordon’s drawi

koban [17]

Answer:

19.2 in. or 48000 feet (based on the scale)

Step-by-step explanation:

divide 6 by 2 and multiply by 100 (because that's the scale). You should get 300. Then, divide 3.2 by 2 and multiply by 100. You should get 160. Then, because the area would be 300*160, your answer is 48000

6 0

3 years ago