there’s 2 formulas
A=1/2ap and A=1/2ans
a-apothem
p-perimeter
n-number of sides
and “s” is if there’s an outsides number

Theres 2 Formulas A=1/2ap And A=1/2ansa-apothemp-perimetern-number Of Sidesand S Is If Theres An Outsides

Answers

Answer 1
the area is 100 u^2 diane
Answer 2

The are of the given heptagon is 243 u³.

In the given polygon,

Number of sides = 7

Hence this is a heptagon, which has,

Length of edge = 9 unit

Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.

Since we know that,

Area of heptagon = (7 / 4) × edge² × cot(π/7)

Therefore,

Area of heptagon = (7 / 4) × 9² × cot(π/7)

                              = (7/4) x 81 x 2.07

                              ≈ 243 u³

Hence,

The area is approximately 243 u³

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Related Questions

Find the circumference of the circle.r=9in
56.52 inches
14.13 inches
63.59 inches
254.34 inches
28.26 inches

Answers

56.52 inches is the answer i think

Answer:56.52

Step-by-step explanation: I just did it

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:




Write an equation to determine the area, A, of the patio that will be painted.

A = (x + 18)(x + 35)

A = (x + 15)(x + 25) + 30

A = (x + 5)(x + 22)

A = (x + 25)(x + 15) − 30

Answers

Answer:

A = (x + 25)(x + 15) - 30

Step-by-step explanation:

This question is not complete without a figure; find the figure attached.

Marissa is painting a regular patio with dimensions as

Length = (x + 25) units

Width = (x + 15) units

Area of this rectangular patio = Length × Width

Area = (x + 25)(x + 15) unit²

She has to paint the patio except the bench that does not need to be painted.

Dimensions of the rectangular bench,

Length = 10 units

Width = 3 units

Area of the bench = 10×3 = 30 units²

Area of the patio to be painted = Area of patio - Area of bench

                                                A = (x + 25)(x + 15) - 30

60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
boys chose biking and
29
29
boys chose fishing.
The remaining boys did not complete the survey.

What expression gives the percent of survey participants who chose fishing?


Answers

 Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

Hope I helped! :)

Answer:

Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

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Step-by-step explanation:

(r/s)(3) find the value.

Answers

3r

s

hope it helps:)

An element with a mass of 120 grams decays by 27.5% per minute. To the nearest tenth of a minute, how long will it be until there are 2 grams of the element remaining?

Answers

Answer:

12.7

Step-by-step explanation:

its right

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the exponential decay formula to solve the problem.

The formula for exponential decay is:

[tex]A = A_0e^{-kt}[/tex]

where:

A₀ = initial amount

A = amount remaining after time t

k = decay rate constant

t = time

We can find the decay rate constant k using the given percentage decay per minute.

If the element decays by 27.5% per minute, then the decay rate constant is:

k = ln(1 - 0.275) = -0.3185

where ln is the natural logarithm.

Let's substitute the given values into the formula and solve for t:

[tex]2 = 120 e^{-0.3185t}[/tex]

Divide both sides by 120:

[tex]0.0167 = e^{-0.3185t}[/tex]

Take the natural logarithm of both sides:

ln(0.0167) = -0.3185t

t = ln(0.0167) / (-0.3185)

t ≈ 9.9 minutes (to the nearest tenth of a minute)

Therefore,

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

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What is the solution to the division problem 426 Divided By 5113 written as a mixed number

Answers

Answer:

[tex]12\frac{1}{426}[/tex]

Step-by-step explanation:

please check the attached files for more explanation

A divisor is a number that divides another number either completely or with a remainder and the divisor  [tex]5113[/tex] is divided by [tex]426[/tex] is [tex]12[/tex].

What is divisor ?

The divisor is any number that divides another number. A factor, however, is a divisor that divides the number entirely and leaves no remainder. So, all factors of a number are its divisors. But not all divisors will be factors.

To know more about divisors.

The solution using the "Long Divison Method'

Now, start the divisor [tex]426[/tex] on the left side and the dividend [tex]5113[/tex] on the right side :

     

      12

[tex]\sqrt[426]{5113} \\426\\----\\853\\852\\----\\1[/tex]

Hence, the result of the divisor  [tex]5113[/tex] divided by [tex]426[/tex] is [tex]12[/tex].

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The probability of rolling an even number with a six-sided number cube
is about 1/2 . Choose the likelihood that best describes the probability
of this event.

Answers

Answer:

Equally likely

Step-by-step explanation:

Equally likely means that it’s a 50% percent chance on both sides meaning that equally likely Is the answer.

Answer:

likely

Step-by-step explanation:

Which shows the following expression after the negative exponents have been eliminated?

A)StartFraction m Superscript 7 Baseline n cubed Over m n Superscript negative 1 Baseline EndFraction, m not-equals 0, n not-equals 0
B)StartFraction m Superscript 7 Baseline n cubed n Over m EndFraction
m Superscript 7 Baseline n cubed m n
C)StartFraction m Superscript 7 Baseline n cubed Over m (negative n) EndFraction
D)StartFraction m n Over m Superscript 7 baseline n EndFraction

Answers

Answer:

its A

Step-by-step explanation:

Hence, the correct answer is (C)[tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

What is an expression?

a mathematical phrase that can contain ordinary numbers, variables, and operators.

How to solve?

Given the expression [tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

on simplification, if can be found,

                                  =[tex]m^{7-1}.n^{3-(-1)}\\m^6.n^4[/tex]

which is the required answer.

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The length of a rectangle is 1 meter less than its
width. The area of the rectangle is 42 square
meters. Find the dimensions of the rectangle.

Answers

If the length of the rectangle is x, then we know the width is x + 1.

The area of a rectangle is length · width, so we can substitute as x · (x + 1)

Now, we now x · (x + 1) = 42

Expand

x² + x = 42

Solve

x² + x - 42 = 0

(x + 7)(x - 6) = 0

So, x = 6

That means the length is 6 meters and the width is 7 meters.

The dimensions of the rectangle are:

Width, W = 7 meters

Length, L = 6 meters

Let's denote:

L = the length of the rectangle

W = the width of the rectangle

Given that the length of the rectangle is 1 meter less than its width, we can write the equation:

L = W - 1

We're also given that the area of the rectangle is 42 square meters. The formula for the area A of a rectangle is:

A = length × width

Substituting the given values, we have:

42 = (W - 1) × W

Now, let's solve this equation for W to find the width of the rectangle.

42 = [tex]W^2[/tex] - W

Rearranging terms, we get a quadratic equation:

[tex]W^2[/tex] - W - 42 = 0

Now, we can solve this quadratic equation by factoring or using the quadratic formula. Factoring seems simpler in this case:

Product = 1 × -42 = -42

Sum = -1

Required numbers: 6 × -7

[tex]W^2[/tex] - W - 42 = 0

[tex]W^2[/tex] + 6W - 7W - 42 = 0

W (W + 6) - 7 (W + 6) = 0

(W - 7) (W + 6) = 0

Setting each factor equal to zero gives us two possible values for W:

W - 7 = 0 or W + 6 = 0

Solving each equation:

W - 7 = 0

W = 7

W + 6 = 0

W = -6

Since the width of the rectangle cannot be negative, we discard W = -6.

So, the width of the rectangle is W = 7 meters.

Now, to find the length L, we can use the equation L = W - 1:

L = 7 - 1

L = 6

The question is:

The length of a rectangle is 1 meter less than its width. The area of the rectangle is 42 square meters. Find the dimensions of the rectangle.

What is the m in 45m - 900 = 90m

Answers

Step-by-step explanation:

[tex]45m - 900 = 90m \: [/tex]

[tex]45m - 90m = 900[/tex]

[tex] - 45m = 900[/tex]

[tex]m = \frac{900}{ - 45} = - 20[/tex]

Answer:

m=-20

Step-by-step explanation:

45m -900=90m

-900=45m

-900/45=45m/45

m=-20

Which equation could be used to find the length of the hypotenuse?

Answers

The answer would be A because A squared + B squared = C squared which is the hypotenuse.

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation:

i dont if i made it clear but the answer is A



Mark sold 445 tickets for the school play. Student tickets cost $3 and adult tickets

cost $5. Mark's total income for the event was $1871. How any adult tickets did he

sell?

Answers

Answer:

Mark sold 268 adult tickets.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of students ticket sold and y be the number of adult tickets sold.

Total number of tickets sold = 445

Thus, we can write the equation:

[tex]x + y = 445[/tex]

Cost of student ticket = $3

Cost of an adult ticket = $5

Total income = $1871

Thus, we can write the equation:

[tex]3x + 5y = 1871[/tex]

Solving the two equations, we get,

[tex]3x + 5y - (3x+3y) = 1871 - 3(445) \\2y = 536\\\Rightarrow y = 268\\\Rightarrow x = 445 - 268 = 177[/tex]

Thus, Mark sold 268 adult tickets.

Answer:he sold 268 adult tickets at the school play

Step-by-step explanation:

Can you explain it and help me out please​

Answers

Answer:

c.

Step-by-step explanation:

2x² - 4x - 3 = 0

[tex]x= \frac{-b+/-\sqrt{b^{2}-4ac} }{2a} \\\\x= \frac{-(-4)+/-\sqrt{(-4)^{2}-4*2*(-3)} }{2*2} \\\\x= \frac{4+/-\sqrt{16+24} }{4} \\\\x= \frac{4+/-\sqrt{40} }{4} = \frac{4+/-2\sqrt{10} }{4}=\frac{2+/-\sqrt{10} }{2}[/tex]

The answer would be c on this

What is the gradient of the line 12x=15-3y

Answers

Answer:

-4

Step-by-step explanation:

12x=15-3y

+3y

12x+3y=15

-12x

3y=-12x+15

/3

y=-4x+15

Gradient= -4 as in the equation y=mx+c

, m=the gradient therefore the gradient is -4

Answer:

-4

Step-by-step explanation:

12x=15-3y   +3y

12x+3y=15    -12x

3y=-12x+15    /3

y=-4x+15

This is for algebra 2 and I got stuck on this anyone know this?

Answers

You just simplify the fraction (so, 8/6 which is 4/3)

So your comes 4(square root of 35)/ 3 (square root of 15)

The angle of depression between a bird and its prey is 70 degrees. If the bird is 18 ft off the ground, what is the distance between the bird and its prey? Round to the nearest foot

Answers

Answer:

19 ft

Step-by-step explanation:

We are given that

[tex]\theta=70^{\circ}[/tex]

Height of bird from the ground=h=18 ft

We have to find the distance between the bird and its prey.

We know that

[tex]sin\theta=\frac{perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin70=\frac{18}{hypotenuse}[/tex]

[tex]hypotenuse=\frac{18}{sin70}=19.1 ft\approx 19ft[/tex]

Hence, the distance between the bird and its prey=19 ft

HELP ASAP !!!

Please explain why

Answers

Option 2: whenever it’s < or > it’s a dashed line but when it’s <= or >= it’s a solid line

Option 4: if you’ll insert (0,0) in the equation then you’ll get 0>-2 which is true so (0,0) is a solution. Another way to check is if (0,0) is in the shaded region of the graph

Option 5: in the equation-2 is the y-intercept which proves it intersects at (0,-2) on the y-axis

Find the inner product of (4,9,-3), (-6, 7,5)and state whether the vectors are perpendicular.

Answers

Answer:

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0

2) What is 8% of 24.52? Round your answer to the nearest hundredth.

Answers

What is 8% of 24.52=   1.9616  

just round up

Answer:

What is 8% of 24.52=   1.9616  

Step-by-step explanation:

round it

A mug can hold 17.09 ounces of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm³ equals 0.034 ounce, what is the height of the mug to the nearest centimeter

Answers

Answer:

10 centimeters

Step-by-step explanation:

Kindly refer to the attached image for explanations

What is the factor pair for the multiplication sentence below?
11 x 9 = 99

A. 9,99
B. 11.99
c. 11,9

Answers

C is the answer 11,9

9x^2-25
How do you solve this?

Answers

Answer:(3x+5) (3x-5)

Step-by-step explanation: a2-b2 =(a+b) (a-b)  where a= 3x and b=5

find the product d^j•d^k

Answers

Answer:

d^(j+k)

Step-by-step explanation:

d^j  * d^k

We know that a^b * a^c = a^(b+c)

d^(j+k)

The temperature drops 10 degrees and then rises 10 degrees.
Write an addition expression that represents this situation.

Please answer ASAP

Answers

Answer:

10-10+10=10 degrees

Factor and solve: -3p^2 - p - 2 = 0

Please show step by step and how to factor trinomials when the leading coefficient is a negative number.

Answers

Answer:

Step-by-step explanation:

-3p² - p - 2 = 0

a = -3; b = -1 c = -2

[-b ±√(b² - 4ac)]/2a = [1 ± √(1-4*-3*-2) ] /2*-3

=[1 ± √(1-48) ]/-6

= - [1 ±√-47]/6

= - [1 ±√47i]/6

Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation.

Answers

Answer:

x+10=24

Step-by-step explanation:

the actual equation would give you 14

Final answer:

To represent the situation, you can use the equation x = 24 - 10 or the proportion x/24 = 10/24.

Explanation:

To represent the situation, we can use the equation: x = 24 - 10, where x represents the amount of water Mai drank. This equation represents the fact that the initial amount of water in the bottle (24 ounces) minus the amount of water that Mai drank (x ounces) equals the remaining amount of water (10 ounces).

Alternatively, we can also use the proportion x/24 = 10/24 to represent the situation. This proportion shows that the ratio of the amount of water Mai drank to the initial amount of water in the bottle is equal to the ratio of the remaining amount of water to the initial amount of water.

The volume of a cylinder can be found using the formula V = pi r squared h.

Which is the correct first step in finding the height of a cylinder with a volume of 192 pi cubic inches and a radius of 5 inches?
5 = pi (192) squared h
V = pi + (5) squared + 192 pi
V = pi (5) squared (192)
192 pi = pi (5) squared h

Answers

Answer:

The answer is D

192 pi = pi (5) squared h

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

It points out to find the height and it already gives you the volume and radius so all you have to do is plug in those to #'s.

So the "V" is always going to go first then the equal sign the the pi sign then a number followed by squared.

Right after that you should have an "H" which is the height you have to use to multiply.

The whale swims down 300 feet to feed. What is the whale’s elevation now?

Answers

If the whale swims 300 feet below the surface it would be -300 feet below the sea level

The elevation of the whale is -300 feet.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the whale swims down 300 feet to feed. The elevation of the whale will be:-

Elevation = -300 feet

Therefore, the elevation of the whale is -300 feet.

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When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?

Answers

It will take 1 1/2 for each pipe to fill the pool if it’s working alone.

 The faster pipe will fill the pool in 6 hours and the slower pipe will fill the pool in 12 hours.

What is time and work for commercial mathematics?

Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.

Given here, two pipes fill the pool in 4 hours if they work together and If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours.

Let volume of the pool be LCM(9,4)= 36 unit³ and their efficiencies be E₁ and E₂ respectively then we have E₁+E₂ = 36/4

                                                                   =9 units

Also  18/ E₁ +18/E₂ = 9

         putting E₁=9-E₂ we get

 18₁/ 9-E₂ +18/E₂ = 9

E²₂ -9E₂ +18        =0

(E₂ +3)  (E₂ -6)     =0

Therefore E₂ =6 units  as efficiency cannot be negative and consequently E₁ =3 units

Hence, if they are working alone they finish the work in 36/3 =12 hours and 36/6=6 hours respectively.

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Find the value of each numbered angle.

Answers

Answer:

See below.

Step-by-step explanation:

m < 1 = 180 - 125 = 55 degrees (adjacent angles),

m <  2 = 180 - 56 = 124 degrees (adjacent angles).

m < 3 = 124 - 55 = 69 degrees ( external angle of a triangle theorem).

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