what is the area of a regular pentagon with an apothem of 25.1 and a perimeter of 182mm

Answers

Answer 1
area = # of sides * side length * apothem / 2
perimeter = 182
one side = 182/5 = 36.4
area = (5 * 36.4 * 25.1) / 2
area = 2,284.1




Related Questions

PLEASE ANSWER ASAP.

Find the area of the triangle QRS.

Area = square units

Answers

Answer:area is 140

Step-by-step explanation:

Answer:

Area= 140 square units

Step-by-step explanation:

q(-9, 5). r(6,10). s(2,-10).

find the area of the triangle QRS.

Area=140 square units

How can i find one side of a triangle with another side and an angle?

Answers

If you only have two of the six measures of a triangle, you cannot find the others. You need at least 3 measures, including at least one side, in order to solve a triangle.

You can always use the Law of Cosines (if you have sufficient information), or the Law of Sines (if you have sufficient information).

What is the perimeter of triangle ABC with the vertices A(-2,9), B(7,-3),C(-2,-3) in the coordinate plan
A)21 units
B) 15 units
C)34 units
D)36 units
PLZZZZZZZZZZ HELPPPPPPP MEDALS AND FAN

Answers

Final answer:

The perimeter of triangle ABC with the given vertices can be found by calculating the distances between the points. The lengths are 15 units for AB, 9 units for BC, and 12 units for AC, and their sum is 36 units. The correct option is D.

Explanation:

To determine the perimeter of triangle ABC with the given vertices A(-2,9), B(7,-3), C(-2,-3), we first need to calculate the lengths of the sides of the triangle using the distance formula, which is d = √((x₂ - x₁)² + (y₂ - y₁)²).

Length of AB: √((7 - (-2))² + ((-3) - 9)²) = √(81 + 144) = √225 = 15 unitsLength of BC: √((-2 - 7)² + ((-3) - (-3))²) = √(81 + 0) = √81 = 9 unitsLength of AC: √((-2 - (-2))² + (9 - (-3))²) = √(0 + 144) = √144 = 12 units

The perimeter is the sum of the lengths of the sides, so P = AB + BC + AC = 15 + 9 + 12 = 36 units.

The correct answer is 36 units which corresponds to option D.

Please I need help with this.

Answers

1. 2 ( C)
2. 2x^2-9x+10 (B)
3. -1 (D)
4. 40x^2+22x-6 (B)
5.x^2-2x+4-(14/x+2) (A)

A gift box is 12 inches long, 8 inches wide and 2 inches high. how much wrapping paper needed to wrap the box?

A.) 272 inches
B.) 192 inches
C.) 384 inches
D.) 184 inches

Answers

It is B.) 192 inches. 

Aldo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Aldo drove home, there was no traffic and the trip only took 5 hours. If his average rate was 21 miles per hour faster on the trip home, how far away does Aldo live from the mountains? Do not do any rounding.

Answers

8x = 5(x+21)
8x = 5x +105
3x = 105
x = 105 /3
x = 35

8 x 35 = 280 miles away

The distance of Aldo's house from the mountains when calculated using the parameters is; 280 miles

How to Solve Algebra Word Problems?

We know that distance is given by;

Distance = speed * time

Distance with traffic = 8x

Distance without Traffic plus average rate = 5(x + 21)

Thus;

8x = 5(x + 21)

8x = 5x + 105

3x = 105

x = 105/3

x = 35

Thus;

Distance from his house = 5(35 + 21) = 280 miles

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Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8

cup of sprinkles, how many sundaes can they serve?

Answers

Final answer:

Matt's Ice Cream Shoppe can serve 56 sundaes with 7 cups of sprinkles, assuming each sundae uses 1/8 cup of sprinkles.

Explanation:

The question asks: How many sundaes can Matt's Ice Cream Shoppe serve with 7 cups of sprinkles if each sundae is served with 1/8 cup of sprinkles?

To find the answer, we divide the total amount of sprinkles by the amount used per sundae. Here's the calculation:

Total amount of sprinkles = 7 cups.Amount of sprinkles per sundae = 1/8 cup.Number of sundaes that can be served = Total amount of sprinkles ÷ Amount of sprinkles per sundae = 7 cups ÷ 1/8 cup = 56 sundaes.

Therefore, Matt's Ice Cream Shoppe can serve a total of 56 sundaes with their current stock of sprinkles.

Matt's Ice Cream Shoppe can serve 56 sundaes with the 7 cups of sprinkles they have.

To find out how many sundaes Matt's Ice Cream Shoppe can serve with 7 cups of sprinkles, we need to divide the total amount of sprinkles by the amount of sprinkles used per sundae.

Given:

- Total amount of sprinkles: 7 cups

- Amount of sprinkles per sundae: [tex]\( \frac{1}{8} \)[/tex] cup

Let ( x ) be the number of sundaes that can be served.

We can set up the equation:

[tex]\[ \text{Total amount of sprinkles} = \text{Amount of sprinkles per sundae} \times \text{Number of sundaes} \][/tex]

[tex]\[ 7 = \frac{1}{8} \times x \][/tex]

Now, to solve for ( x ), we can multiply both sides of the equation by 8:

[tex]\[ 7 \times 8 = x \][/tex]

[tex]\[ x = 56 \][/tex]

Therefore, Matt's Ice Cream Shoppe can serve 56 sundaes with the 7 cups of sprinkles they have.

I don't know: Person 1, person 2, and person 3 made $660, if the ratio is 3:4:5, how much did person 1 person 2, and person 3 get?

Answers

3:4:5 = 3+4+5 = 12

660/12 = 55

55*3 = 165
55*4 = 220
55*5 = 275

person 1 = 165
Person 2 = 220
 person 3 = 275

Anna took a job that paid $200 the first week. She was guaranteed a raise of 5% each week.

How much money will she make in all over 8 weeks?

Round the answer to the nearest cent.

Answers

5% of 200= 10 dollars
10*8= 80 
total after 8 weeks= $280

The answer is 1909.82 (rounded to the cent).

I just took this test.

The triangle and the rectangle have the same perimeter.

Answers

Amazing I am so happy for you

A certain species of fish require 1.5 1.5 cubic feet of water per fish to maintain a healthy environment. find the maximum number of fish you could put in a tank measuring 6 6 feet by 3 3 feet by 4 4 feet.

Answers

(6 ft)*(3 ft)*(4 ft) * (1 fish)/(1.5 ft^3) = (6*3*4/1.5) fish = 48 fish

What is the graph of the equation 4x – 5y = 15?

Answers

i think its the second one if im wrong im sorry 

have a good day

Use the complex zeros(1/2, -3+7i, -3-7i) to factor f(x)=-2x^3 - 11x^2 -110x +58

Answers


P(x)=-(2x^3+11x^2+110x-58)
P(1/2)=-(2*1/8+11*1/4+110*1/2-58)=0
P(x)=(1/2-x)(2x²+12x+116) (using synthetic division)
P(x)=(1-2x)(x²+6x+58)=(1-2x)(x+3+7i)(x+3-7i)

I'd like to point out that Caylus' posting is correct using complex factors.

one may note that it could also be simplified to 

[tex]\bf f(x)=(1-2x)(x+3+7i)(x+3-7i) \\\\\\ f(x)=(1-2x)[(x+3)+(7i)][(x+3)-(7i)] \\\\\\ f(x)=(1-2x)~~[\stackrel{\textit{difference of squares}}{(x+3)^2-(7i)^2}] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)-(7^2i^2)] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)-(49\cdot -1)] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)-(-49)] \\\\\\ f(x)=(1-2x)[(x^2+6x+9)+49] \\\\\\ f(x)=(1-2x)(x^2+6x+58)[/tex]

A negative correlation means that ________. select one:
a. high values of one variable are associated with low values of the other
b. high values of one variable are associated with high values of the other
c. low values of one variable are associated with low values of the other
d. there is no relationship between the two variables

Answers

The answer is A- High Values of one variable are associated with low values of the other.
Negative correlation is a relationship between two variables wherein if the value of one variable increases, the value of the other variable decreases, and vice versa.
Final answer:

A negative correlation means that high values of one variable are associated with low values of the other. This suggests that as one variable increases, the other decreases respectively and vice versa, which can be seen in various real-world scenarios such as the relationship between time spent studying and number of mistakes made on a test.

Explanation:

In the context of statistics and data analysis, a negative correlation means that high values of one variable are associated with low values of the other. This implies that as one variable increases, the other decreases correspondingly and vice versa. For instance, if we were examining the relationship between time spent studying and number of mistakes made on a test, a negative correlation might indicate that the more time a student spends studying, the fewer mistakes they make on the test. This is indicative of a negative correlation because as the value of one variable (study time) increases, the value of the other variable (mistakes) decreases.

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What's the probability of getting at least k heads in n coin flips?

Answers

Half of n time k = 1/2 n * k

Given the lease terms below, find the total lease cost, assuming that the deposit is nonrefundable.
Terms:
Length of lease: 36 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
Down payment: $1500
Monthly payment: $272
Security deposit: $350
Acquisition fee: $700

Answers

Answer: The total cost of the lease is $12,342.

To find the total cost of the lease, we have to add up all the costs that you will be responsible for.

You will have to pay the down payment, the monthly payment, security deposit and the acquisition fee.

However, don't forget that you have to multiply the monthly payment by 36 months.

1500 + 36(272) + 350 + 700 =12342

Final answer:

The total lease cost is the sum of the down payment, nonrefundable security deposit, acquisition fee, and the total payments over the lease term which amounts to $12,342.

Explanation:

The total lease cost can be calculated by adding all fees, the nonrefundable deposit, monthly payments, and any other additional costs. We start by adding the down payment, security deposit, and acquisition fee:

Down payment: $1500Security deposit (nonrefundable): $350Acquisition fee: $700

The monthly payment over the term of the lease is calculated by multiplying the monthly payment amount by the number of months in the lease term:

Monthly payment: $272Length of lease: 36 months

Multiplying the monthly payment by the lease term gives us the total amount paid over the course of the lease:

272 * 36 = $9792

Adding all the costs together gives us the total lease cost:

Total lease cost = Down payment + Security deposit + Acquisition fee + Total monthly paymentsTotal lease cost = $1500 + $350 + $700 + $9792Total lease cost = $12342

Note that this calculation assumes that the security deposit is nonrefundable, which is often the case in a car lease. It's also important to note that additional costs may apply, such as excess mileage fees or wear and tear.

Austin rented a truck for one day. there was a base fee of $15.99 , and there was an additional charge of 82 cents for each mile driven. austin had to pay $123.41 when he returned the truck. for how many miles did he drive the truck?

Answers

123.41 - 15.99 = 107.42 / 0.82 = 131

131 Miles

A cylindrical water tank has a diameter of 6 meters and a height of 9 meters. What is the maximum volume of water the tank can hold? (to nearest whole number) A) 254 m3 B) 509 m3 C) 1018 m3 D) 2290 m3

Answers

ik this answer is late but A. 254

Answer:

The answer is A) 254 m3

A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions? A. 20:5 B. 5:20 C. 15:20 D. 20:15

Answers

C, 15:20.

The student missed 5 questions.

Hope this helped!
For this case what you can do is the following rule of three:
 100% ---> 20
 75% -----> x
 Clearing the value of x we have:
 x = (75/100) * (20)
 x = 15
 This number represents the number of correct answers.
 We have then that the ratio is:
 15:20
 Answer: 
 A ratio that would show the number of questions answered correctly to the total number of questions is: 
 C. 15:20

Divide. 5x3y3z - 6x4y2z2 + 4xy3z xyz

Answers

Final Answer:

The result of dividing [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz is [tex](5x^2y^2 - 6x^3yz + 4y^2z).[/tex]

Explanation:

To divide [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz, we'll divide each term in the polynomial by xyz separately.

First, let's divide [tex]5x^3y^3z by xyz: (5x^3y^3z) / (xyz) = 5x^2y^2.[/tex]

Then, divide [tex]-6x^4y^2z^2 by xyz: (-6x^4y^2z^2) / (xyz) = -6x^3yz.[/tex]

Lastly, divide [tex]4xy^3z by xyz: (4xy^3z) / (xyz) = 4y^2z.[/tex]

Thus, the resulting polynomial after division is [tex]5x^2y^2 - 6x^3yz + 4y^2z.[/tex]This is derived from individually dividing each term in the polynomial by xyz, simplifying each term, and collecting like terms together to obtain the final result.

In this process, division by xyz means dividing each term of the polynomial by the factors x, y, and z, and simplifying the expression. By doing so, we obtain a simplified form of the polynomial where each term is reduced by the common factors x, y, and z, resulting in the expression [tex](5x^2y^2 - 6x^3yz + 4y^2z)[/tex] as the quotient.

Complete question:

Divide [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz.

please help me with algebra 2?! i am so lost on how to do this!
1.Multiply and simplify if possible.

four square root of eleven•four square root of ten
(1 point)

11four square root of ten
11
10
four square root of one hundred ten

2.What is the simplest form of the expression?

cubed root of twenty four times a to the tenth times b to the sixth
(1 point)

3a3b2cubed root of two a
2a3bcubed root of a
2a3b2cubed root of three a
none of these

Answers

Question 1: 
- both squared roots are multiplied by 4, therefore you can regroup: 4·(√11·√10)
- since they are both squared roots, you can multiply the two numbers: 4·√(11·10)
- therefore the answer is: 4·√110

Question 2:
- first thing, you need to factorize the number: 24=2³·3
- then, highlight the exponents multipes of 3: ∛(2³·3·a^9·a·b^6)
- now you can take outside the cubic root everything that has an exponent multiple of 3, dividing the exponents by 3: 2·a³b²·∛3·a

The area of a rectangle is 28^2 , and the length of the rectangle is 1ft more than double the width. find the dimensions of the rectangle.

Answers

either 29 or 32 either way i die soon so bye

Kendall says the sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-5y^2) what error did Kendall make

Answers

(6x^2 + 4xy + 2y^2) + (4x^2 - 2xy - 3y^2)
=
(10x^2 + 4xy - y^2)

Kendall assumed the 2y^2 was negative and not positive leading her to create the error of -5y^2

Hope this helps :)
Final answer:

The error made was in the summation of the y^2 terms in each expression, leading to an incorrect final sum of the two expressions.

Explanation:

Kendall's error lies in incorrectly adding the terms that contain y^2. Specifically, Kendall summed 2y^2 from the first expression and -3y^2 from the second expression, but mistakenly calculated the result as -5y^2 instead of the correct -y^2. Remember, when performing operations with similar terms, you must carry the correct sign along with each term.

So, the correct sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-y^2).

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When a number is subtracted from x the result is 6. What is that number

Answers

Hey there!!

I'm pretty sure the number is 9 and x is 3 so it equals 6.

hope this helps!!

Good luck:) 
Let n represent the number of interest. The problem statement tells you
.. x - n = 6
.. x - 6 = n . . . . . add n-6

The number is x-6.

HELP PLEASE CAN SOMEONE TAKE A LOOK?

1. The investment you make into a start=up company is also known as ____ (1point)
A. Venture Capital
B. first-time investment
C. entrepreneurial capital
D. beginning capital

Answers

The investment you make into a start-up company is also known as *A.) Venture capital 
 Venture capital-capital invested in a project in which there is a substantial element of risk, typically a NEW or expanding business

Find the average rate of change of

f(x) = -2x² - x from x=1 to x=6

Simplify your answer as much as possible

Answers

Average rate of change is -15

Please help, I’m so confused :/

Answers

[tex] \tan x = \dfrac{\sin x}{\cos x} [/tex]

[tex] \tan x = \dfrac{\frac{5}{13}}{\frac{12}{13}} [/tex]

[tex] \tan x = \dfrac{5}{13} \times \dfrac{13}{12} [/tex]

[tex] \tan x = \dfrac{5}{12} [/tex]
[tex]cos x = \frac{a}{h} [/tex] , so a = 12, h = 13
[tex]sinx= \frac{o}{h} [/tex], so o = 5, h = 13
[tex]tanx = \frac{o}{a} [/tex]
[tex]tanx = \frac{5}{12} [/tex] 

Or 

[tex]tanx = \frac{sinx}{cosx} [/tex]
[tex]tanx = \frac{ \frac{5}{13}}{ \frac{12}{13} } [/tex]
[tex]tanx = \frac{5}{12} [/tex] 

Using the properties of equality, fill the blanks with the correct value to show the solution for y.
3(y-2)=18
3y-___=18
3y=___

Answers

3(y-2)=18
3y-6=18
3y=24
y=8
y=8 if you solve it it will equal to it welcome :D

A cube 3 1/2 inches long V = _____ cubic inches

Answers

The side of cube is given as 3 1/2 inches.

converting 3 1/2 into mixed fraction we have 7/2 inches.

on dividing 7 by 2 we get 3.5 inches

Formula to find volume of cube is given by:

[tex] V = a^{3} [/tex]

where "a" is length of side.

Plugging the value of a in the formula we have,

[tex] V = (3.5)^{3} [/tex]

Volume of cube is 42.875 cubic inches.

A _____________ is a three-dimensional form that has length and width but minimum thickness.

Answers

A plane is a three-dimensional form that has length and width by minimum thickness. 
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The center of a circle is at (2, 7) and its radius is 6.What is the equation of the circle?(x2)2+(y7)2=36(x2)2+(y7)2=3(x+2)2+(y+7)2=3(x+2)2+(y+7)2=36The equation of a circle is (x+4)2+(y5)2=121.What is the center and radius of the circle?center: (4, 5); radius: 11center: (4, 5); radius: 121center: (4, 5); radius: 11center: (4, 5); radius: 121 When people develop expertise in an area, they process information using chunking and _____? Use the Venn diagram to calculate probabilities.Which probability is correct?P(A|B)=1/2P(B|A)=7/20P(A|C)=6/23P(C|A)=13/17 most people are successful and they work because they know the right people Escribe la frase que mejor describa el tiempo verbal de esta oracin: Esta tarde voy al cine. Describe how the supreme court's decisions affected the power of the Federal Government As Aunt Alexandra settles in to Maycomb, her opinion of the trial is representative of _____. (from To Kill a Mockingbird)the black members of the communitythe people who want to do Atticus harmthe white people who support Atticusthe people who wished Atticus would just decline to help how would you graph y=| x-2|-4 A study performed in 2008 found that 1 in _______ African Americans lacked health insurance. A. eight B. three C. five D. ten On the first day of a conference, 10 rows of 6 chairs are set out in a meeting room. The second day, in the same room, 3x more rows with 5x more chairs are set out. Which of the following equations could be used to determine the number of chairs set out in the meeting room on the second day?A. y = (15x^2 + 60) chairsB. y = (15x^2) chairsC. y = (15x^2 + 16) chairsD. y = (15x^2 +68x +60) chairs Athens developed a form of government in which the people rule, which is called a why does Thoreau refer to civil disobedience not merely as a right but as a duty? The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet. Which of the following is the same as 5(2 1)?a 5 2 1b 5 2 1c 10 1d 10 5e one of the above You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park? Write an equation that represents the percent y of the distance that still needs traveled after x minutes.An equation is y= ___ It takes minutes to bike to the park.It takes ____ minutes to bike to the park.SOLVE FOR BLANKS Imagine a world in which only decimal,not fractions,are used.how would your life be different Which sentence is written in formal language?Question 8 options:Erin has a crucial appointment early Monday morning.That was a real bogus tale Charlie told the teacher.Let me have a sneak-peak or I am simply gonna explode.I do not think Tim will be here today; he's playing hookie. what do i do?? i just have to find what the the question marks show. HELP HELP ME!!! MEDAL FOR ANYONE WHO CAN HELPexplain the metaphor of the compass in Donne's a valediction: "forbidding mourning" What was one result of the Crusades? A) The Christians won the Holy Land.B) The Europeans discovered many new goods.C) The Suljuk Turks gave up the Holy Land.D) The Turks discovered many new inventions and books.