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3 years ago

If the measure of an exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have?

1 answer:

7 0

the regular polygon would have 18 sides. because you do 180 deg-20deg=160 deg. then multiply 160 and 18 to get to2880. each exterior angle of a polygon is 20 degress. so the polygon has 360/20=18 sides. (i think)

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You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

3 years ago

the fifth graders were given sandwiches for lunch during their field trip nathan ate 5/6 of his sandwich, leroy ate 7/8 of his s

melisa1 [442]

Leroy and Natham because they both had 1 piece left

8 0

4 years ago

Read 2 more answers

I'm confused about how to find x.

NikAS [45]

Hi! so you would find x by adding the corners up to 180 degrees.

steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12

7 0

3 years ago

DVDs are on sale for $29 each. Felipe writes the expression 2 x 29 to find the cost in dollars of buying 2

Diano4ka-milaya [45]

Answer:

1(29 + 29)= a

Step-by-step explanation:

If the DVD costs 29$, and he buys 2, then you will just add them and multiply them by one.

6 0

4 years ago

We used these functions to represent the two sides of the equation:

katrin [286]

The solution to the system of equation graphed is (-1, -3)

<h3>Solution to system of equation</h3>

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

Learn more on system of equation here: brainly.com/question/847634

#SPJ1

4 0

2 years ago