How to find the area of a polygon

Answers

Answer 1
Final answer:

The method of calculating the area of a polygon depends on the type of polygon. Rectangles and triangles have straightforward calculations, however complex polygons might need to be divided into simpler figures. Certain figures such as circles and ellipses have unique formulas.

Explanation:

Calculating the area of a polygon depends on the type of polygon. For simple regular polygons like a rectangle, area can be found by length x width, for triangles it's base x height / 2. In particular complex polygons, the shape might need to be divided into simpler shapes, and the areas calculated separately.

For a circle, the area A = πr², where r is the radius. If you're trying to find the area of an ellipse, it can be calculated by A = πab, with a and b being half the long and short axis respectively.

The process to determine the area of a frequency polygon is little complex. First, the range of each class interval must be determined, and then multiplied by the frequency of that interval, with these values then being added together.

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Answer 2
Final answer:

To find the area of a polygon, you can divide it into smaller shapes with known area and add them up. Alternatively, you can use the formula for the area of a regular polygon.

Explanation:

To find the area of a polygon, you can use different formulas depending on the type of polygon. One general method is to divide the polygon into smaller shapes whose area you know how to calculate, such as triangles or rectangles, and then add up the areas of those shapes. For example, to find the area of a rectangle, you multiply its length by its width.

Another method is to use the formula for the area of a regular polygon, which is given by the formula: Area = 1/2 * ap, where 'a' is the apothem (the distance from the center of the polygon to the middle of one of its sides) and 'p' is the perimeter of the polygon.

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Related Questions

Which is an exponential function with a y-intercept of (0, -2)?

Answers

Answer:

f(x) = e^x - 3

Step-by-step explanation:

f(x) = e^x has a y-intercept of (0, 1) so we need to translate the function down 3 units to give:

f(x) = e^x - 3 (answer).

Answer: y=4^x - 3 or f(x) 4^x - 3

Which would best illustrate the percentage of students that received As, Bs, Cs, Ds, and Fs on recent test ?

A) pie graph
B) histogram
C) data table
D) line graph

Answers

A) pie graph is ur answer

A) pie graph

Pie graphs are best used when comparing percentages, so it would be best to compare values using a pie graph in this situation.

A multiple choice test has five questions each with 5 possible answers. Find the probability of guessing the correct answers to all of the questions

Answers

Answer:

5/25 or 1/5

Step-by-step explanation:

5 questions, each has 5 possible answers, 5x5=25 each question had 1 correct answer so 5 right answers in the whole test. 5/25 but if u need to simplify, 1/5

Answer: Probability of guessing all 5 correctly: 1/3125 = 0.032%

Step-by-step explanation:

Probability of guessing the first question correctly:  1/5

For that 1/5 of the time when the first question has been guessed correctly, the second question could be guessed correctly 1/5 of the time. So the first two questions could be guessed correctly 1/5 × 1/5 = (1/5)^2 of the time.

Similarly the first three questions could be guessed correctly (1/5)^3 of the time.

and the first four, 1/5)^4 of the time;

and all fives,

(1/5)^5 of the time.

(1/5)^5 = 1/3125 = 0.00032 = 0.032%

* Hopefully this helps:) Mark me the brainliest:)!!!

A recipe calls for 2/3 cup of sugar for every 2 teaspoons of vanilla. What is the unit rate in cups per teaspoon?

Answers

Answer:

2/3 to 2 or 2/3:2 or two thirds to 2 or (2/3,2)

Step-by-step explanation: hope this helped

A shipping box is shown below how many cubic feet will the shipping box hold

Answers

Answer

42

Step-by-step

Answer:

42 cubic feet

Explanation:

Formula for triangular prism(the figure in your picture): Volume=(B)H

B=Base=1/2bh — b=4ft h=3.5 ft

H=Height of prism= 6ft

So substitute formula:

Volume=(1/2(4)(3.5))*(6)

Volume=7*6

Volume=42 cubic feet

Checking account A charges a monthly service fee of $23 and a wire transfer fee of $7.50, while checking account B charges a monthly service fee of $14 and a wire transfer fee of S9.50. Which checking account is the better deal if 4 wire transfers are made per month?

Answers

Answer:

Checking account B

Step-by-step explanation:

If you do 7.50 times 4 plus 23 you get 53 dollars. With plan B you go 9.50 times 4 plus 14 to get 52 dollars.

Help!!!!!
A and B are independent events . P(A) = 0.80 and P(B) = .10 what is P(A and B) ?

Answers

Answer:

The probability of A and B is:

                 [tex]P(A\ and\ B)=0.08[/tex]

Step-by-step explanation:

We know that when two events: Event A and event B are independent then if P denote the probability of an event then Probability A and B is equal to the product of probability of the individual events.

i.e.

[tex]P(A\ and\ B)=P(A)\times P(B)[/tex]

Here we have:

P(A) = 0.80 and P(B) = 0.10

Hence,

[tex]P(A\ and\ B)=0.80\times 0.10\\\\P(A\ and\ B)=0.08[/tex]

Answer: 0.08

Step-by-step explanation:

Mama Mia restaurant used 1/2 of their mozzarella cheese making pizza, and the remaining 64 ounces making pasta. How many pounds did the restaurant start off with?
(please help I am bad at math)

Answers

Answer:

128 ounces

Step-by-step explanation:

Mama Mia Restaurant used 1/2 of their mozzarella cheese.

Fraction of the cheese left = 1 - 1/2 = 1/2

Remaining Cheese = 64 ounces

1/2 of their cheese = 64 ounces

All of their cheese = 64 x 2 = 128 ounces

Help me with this question

Answers

Answer:

Go to desmos.com/calculator and there will be a graphing calculator

Step-by-step explanation:

Vote and say thanks!

The first number in each set is for the x axis and the second on the y

The perimeter of the rectangular state is 42 miles . A ranger estimates that there are 9 deer in each square mile of the park . If this estimates is correct ,how many total deer are in the park ,explain your answer using numbers ,symbols, and words

P.S this questions is important ,so answer it fast

Thank you

Answers

Answer:

990 deers is ONE possible answer.

Step-by-step explanation:

Since we don't know anything else than the perimeter, we don't know the exact dimensions of the park.

For example, it could be 10 x 11 miles, perimeter is 42, but the area is 110 sq miles.

It could also be 9 x 12 miles, perimeter is again 42, but the area is now 110 sq miles.

It could be a 1 x 20 miles park, perimeter is again 42, but the area is just 20 sq miles.

And it could be many other dimensions scenarios.  That affect of course the calculation result.

For this answer, I'll assume the park is 10x11 miles, for an area of 110 sq miles.

Since the estimation is that there's 9 deeps for square mile... that means that for a park measuring 10x11 miles, there would be 990 deers (9 * 110).

This has to do with mean,median,mode, and all that stuff, but my teacher is like,not really good at explaining stuff lol

Answers

The average of 6 quiz scores, where [tex]x[/tex] is the score of the last quiz, is

[tex]\dfrac{83+81+89+92+80+x}6=\dfrac{425+x}6[/tex]

The student needs a minimum average of 86 to earn an A:

[tex]\dfrac{425+x}6=86\implies425+x=516\implies x=91[/tex]

so the student needs a score of 91.

Hobby Shop is selling model cars and model trucks for 50% off this week. At the sale price, you can buy one car and one truck for $13.00. Also at the sale price, you can buy 4 trucks and 2 cars for $42.00. What is the sale price and the original price of the model car and the model truck?

Answers

Answer:

The truck original price is $16.00 and the car price is $5.00.

The truck sale price is $8.00 and the car price is $10.00.

Step-by-step explanation:

We need to find the original price of the truck (T) and car (C)

Sale price of the truck is 50% so that means it is half the original price.

Now let's see the equations we can come up with there:

At sale price:

[tex]T + C = \$13.00\\\\4T + 2C = \$42.00[/tex]

We can solve this through substitution.

Using the first equation, we can come up with an equation for one of the missing variables.

[tex]T + C =\$13.00\\\\C = \$13.00 - T[/tex]

We can use this equation on the second one, to solve for one variable. [tex]4T + 2C = \$42.00\\\\4T + 2(\$13.00-T) = \$42.00\\\\4T + \$26.00 - 2T = \$42.00\\\\4T - 2T = \$42.00 - \$26.00\\\\2T = \$16.00\\\\\dfrac{2T}{2}=\dfrac{\$16.00}{2}\\\\T = \$8.00[/tex]

The sale price of the model truck is $8.00.

Now can use this on the first equation again.

[tex]T + C = \$13.00\\\\\$8.00 + C = \$13.00\\\\C = \$13.00 - \$8.00\\\\C = \$5.00[/tex]

The sale price of the model car is $5.00.

Because it is 50% off on both models, the original price is twice the sale price. So we can solve it by multiplying the sale prices by 2.

Original price of model truck: $8.00 x 2 = $16.00

Original price of model car: $5.00 x 2 = $10.00

Answer:

The truck's original is $16. The sale price is $8. The car's original is $10. It's sale is $5.

Step-by-step explanation:

Please give me five stars, heart, and mark me brainliest! The other guy is incorrect.

Re-arrange this polynomial so it’s terms are in order from highest to lowest. 4x to the 5th power + 2x to the 3rd power - 15 - 7x to the second power

Answers

Answer:

[tex]4x^5+2x^3-7x^2-15[/tex]

Step-by-step explanation:

Look at the degrees of each term.

[tex]4x^5=5 \\ \\ 2x^3=3 \\ \\ -7x^2 = 2 \\ \\ -15=1[/tex]

Rearrange them from greatest to least.

[tex]4x^5+2x^3-7x^2-15[/tex]

What is the ratio of 7 nickles to 70 cents

Answers

This ratio can be presented as:

7:70

or

1:7

Help please
“What are my chances of drawing a g”

Answers

Answer:

0.1

Step-by-step explanation:

There are a total of 10 tiles, of which 1 is the letter G

P(G) = [tex]\frac{1}{10}[/tex] = 0.1

0.1

Explanation step by step:

There is a total of 10 tiles  of which 1 is the letter G

[tex]P(G) = \ \frac{1}{10}  = 0.1[/tex]

Find the 13th term of the sequence 5, 8, 11, 14, 17...

A 13th term does not exist
41
46
49

Answers

5,8,11,14,17,20,23,26,29,32,35,38,41

Add each number by 3

13th term is 41 ( first choice)

Answer:41

Step-by-step explanation:

The numbers go up by 3

I NEED HELP with edges ans skwe lines HELP ME DUE IN 6 HOURS

Answers

Answer: Figure name: hexagonal pyramid.

bases: 1 base

faces: LRM, LMN, LNO, LOP, LPQ, LQR

edges: LO, LP, LQ, LR, LM, LM, PO, ON, NM, MR, RQ, QP.

vertices: L, O, P, Q, R, M, N.

hope this helps! ;)

Which runner has the fastest pace?

Answers

Answer:

the correct answer is distance 2 and time 18

Step-by-step explanation:

Answer:

answer is distance 2 and time 18

Step-by-step explanation:

solve for x.
9(x - 6) = 8(x + 6)

Answers

Answer:

x=102

Step-by-step explanation:

9x-54=8x+48

subtract 8x from both sides

x-54=48

add 54 to both sides

x=102

Answer:

x = 102

Step-by-step explanation:

9(x + -6) = 8(x + 6)

Reorder the terms:

9(-6 + x) = 8(x + 6)

(-6 * 9 + x * 9) = 8(x + 6)

(-54 + 9x) = 8(x + 6)

Reorder the terms:

-54 + 9x = 8(6 + x)

-54 + 9x = (6 * 8 + x * 8)

-54 + 9x = (48 + 8x)

Solving

-54 + 9x = 48 + 8x

Add '-8x' to each side of the equation.

-54 + 9x + -8x = 48 + 8x + -8x

Combine like terms: 9x + -8x = 1x

-54 + 1x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0

-54 + 1x = 48 + 0

-54 + 1x = 48

Add '54' to each side of the equation.

-54 + 54 + 1x = 48 + 54

Combine like terms: -54 + 54 = 0

0 + 1x = 48 + 54

1x = 48 + 54

Combine like terms: 48 + 54 = 102

1x = 102

Divide each side by '1'.

x = 102

Chef Katrina uses 1 cup of pecans for every 3 cups of peanuts in her Merry Munch Mix. One cup of pecans costs $ 4.99 and one cup of peanuts costs $2.25. If the cost for nuts in a batch of Merry Munch Mix is $35.22, how many cups of each type of nut were used?

Answers

Final answer:

Chef Katrina used 3 cups of pecans and 9 cups of peanuts for her Merry Munch Mix, totaling $35.22 based on the given prices of $4.99 per cup of pecans and $2.25 per cup of peanuts.

Explanation:

Calculating the Quantities of Pecans and Peanuts in the Merry Munch Mix

Chef Katrina uses a ratio of 1 cup of pecans to 3 cups of peanuts in her mix. We are given the cost per cup of pecans as $4.99 and the cost per cup of peanuts as $2.25. The total cost of nuts in the mix is $35.22.

To solve this, let's denote the number of cups of pecans used as p and the number of cups of peanuts as 3p (since there are three times as many peanuts as pecans). The total cost for pecans would be p times $4.99 and for peanuts 3p times $2.25.

Our equation based on the total cost is:
4.99p + 2.25(3p) = 35.22
4.99p + 6.75p = 35.22
11.74p = 35.22

Dividing both sides by 11.74 to solve for p:
p = 35.22 / 11.74
p = 3 cups of pecans

As there are three times more peanuts than pecans:
3p = 3 * 3 = 9 cups of peanuts

Therefore, Chef Katrina used 3 cups of pecans and 9 cups of peanuts in her Merry Munch Mix.

A soup can has a diameter of 8 centimeters and a height of 15 centimeters. About how much soup does the can hold? Use 3.14 for pi. Round to the nearest tenth.

Answers

Answer:

754 cm cubed i believe the answer is

Step-by-step explanation:

umm what please help ? ? ? ? ?

Answers

Answer:

2nd answer choice from the top

Step-by-step explanation:

B is the answer for this question

The regular price of a television set is $1,200. Albert buys the television set at a discount of 35% . How much does he pay for the television set?​

Answers

He pays $780 for the television set.

1200*.35=420

1200-420=780

Albert pays $780 for the television set after receiving a 35% discount on the original price of $1,200.

The regular price of a television set is $1,200. To calculate the price Albert would pay after receiving a 35% discount, you need to calculate the discount amount and subtract it from the original price. The discount can be calculated by multiplying the original price by the discount percentage.

Discount = Original Price × Discount Percentage = $1,200 ×0.35 = $420

Now subtract the discount from the original price:

Final Price = Original Price - Discount = $1,200 - $420 = $780

Therefore, Albert pays $780 for the television set.

Campbell's is designing a new label for their soup cans that covers the entire side of the can The soup can has a height of 8 inches and a radius of 2.5 inches. Determine how much material is needed to create each label.

Answers

Answer:

When π is approximated, 125.68, or 40π

Step-by-step explanation:

Circumference formula is 2πr

This is approx: 15.71

Multiply that by 8 to find the surface area of the side of the can.

The answer is 125.68.

HOWEVER, if you are expressing this without approximating π,

it would be 5(Pi), then multiply by 8, and we would get 40π

So un-simplified is 40π

Final answer:

The amount of material needed to create each label for Campbell's soup cans is 40π square inches.

Explanation:

To determine the amount of material needed to create each label for Campbell's soup cans, we need to find the lateral surface area of the can. The lateral surface area is the area of the curved surface. Assuming the label covers the entire side of the can, we need to find the area of the curved surface which can be calculated using the formula:

Lateral Surface Area = 2 * π * radius * height

Substituting the given values, we have:

Lateral Surface Area = 2 * π * 2.5 * 8 = 40π square inches.

I NEED HELP ASAP!!!
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.

Match the equation for how to solve for the side length of a cube to its description.
THANK YOU!!

Answers

Answer:

∛756 In. is the correct answer

Step-by-step explanation:

Here, Volume (V) = 756 in³

V = s³

Now,

756 = s³

s³ = 756

s = ∛756 In.

Thus, ∛756 In. is the correct answer

-TheUnknownScientist

This graph shows the temperature in city for eight days what was the temperature range for this period 67 73 80 73 76 75 73 67 answers 12,13,15,16

Answers

Answer: The answer is 13

Step-by-step explanation: The range means to find the difference from the largest number and smallest number

1) line all the numbers from biggest to smallest

80,76,75,73,73,73,67,67

2) take the largest number and smallest number

largest=80

smallest=67

3) then subtract the two to find your range

80-67= 13

Consider the equations: y = 3x + 2 and y = 2x + 1.

Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.

Answers

Answer:

(-1,-1)

Step-by-step explanation:

y = 3x + 2x                  y-1                  -10                  21                   52                  83                  11

y = 2x + 1x                   y-1                  -10                   11                    32                   53                   7

Sample calculation

y = 3x + 2                       y = 2x + 1

x = 2                               x = 2

y = ?                               y = ?

y = 3*2 + 2                     y = 2*2 + 1

y = 6 + 2                         y = 4 + 1

y = 8                               y = 5

The two that give exactly the same answer is

(-1, - 1)

Step-by-step explanation:

Given : Consider the equations [tex]y=3x+2[/tex] and [tex]y=2x+1[/tex]

To find : Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations ?

Solution :

For the equation, [tex]y=3x+2[/tex]

[tex]y(-1)=3(-1)+2=-1[/tex]

[tex]y(0)=3(0)+2=2[/tex]

[tex]y(1)=3(1)+2=5[/tex]

[tex]y(2)=3(2)+2=8[/tex]

[tex]y(3)=3(3)+2=11[/tex]

We create a table,

 x                  y

-1                  -1

0                  2

1                   5

2                  8

3                  11

For the equation, [tex]y=2x+1[/tex]

[tex]y(-1)=2(-1)+1=-1[/tex]

[tex]y(0)=2(0)+1=1[/tex]

[tex]y(1)=2(1)+1=3[/tex]

[tex]y(2)=2(2)+1=5[/tex]

[tex]y(3)=2(3)+1=7[/tex]

We create a table,

x                   y

-1                  -1

0                   1

1                    3

2                   5

3                   7

What is the 3rd term in the sequence and how do you set it up

Answers

Answer:

135

Step-by-step explanation:

Using the given recursive rule, then

[tex]a_{2}[/tex] = [tex]a_{1}[/tex] (- 9) = [tex]\frac{5}{3}[/tex] (- 9) = - 15

[tex]a_{3}[/tex] = [tex]a_{2}[/tex] (- 9) = - 15 × - 9 = 135

Need contact number for this app!!!

Answers

Answer:

There is no number, I believe, but here:

https://brainly.com/app/contact

hope that helps!

huh I don’t know but hope you find what your looking for

if the mean of a normal distribution is 22, what is the median of the distribution?

Answers

Answer:

22

Step-by-step explanation:

Normal Distributions are the most important in statistics. They are also know as "bell curves".

There are special properties of Normal Distributions. I name 3 of them below:

1. Normal distributions are symmetric about their mean.

2. The area under the normal curve is 1

3. The mean, mode, and median of normal distribution are equal

This question can easily be solved using property #3 in the stated above properties.

The mean and median of normal distribution are equal. Since mean is given as 22, the median will also be 22.

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