Find the area of a regular polygon with 9 sides that has a side length of 12 inches and an apothem of 15 inches.​

Answers

Answer 1

Answer:

An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:

A = (1/2)*(Perimeter)*(Apothem)

The perimeter of the regular polygon  is just the length of one side multiplied with the number of sides. Since a polygon with   9 sides,

P = 9(15) = 135in

A = 1/2 ×135 × 12

A = 810 square inches ans


Related Questions

what is a equivalent expression for 2/8 - 1/5 times x?

Answers

Answer:

2/8 - 1/5x

1/4 - 1/5x

5/20 - 4/20x

*all possible answers listed above*

Step-by-step explanation:

Are there choices?

HELP PLS IM FAILING MATH AND NO ONE IS HELPING ILL MARK U BRAINLIEST

Answers

Answer:

X = 30

Step-by-step explanation:

You can find the answer by solving for line RS through the corresponding ratio and adding it to the known value of ST.

Mary needs to reflect point B, which is located at (4, 9), over the y-axis. Write the coordinate that is a reflection of point B over the y-axis?
Include ( ) around your coordinate.

Answers

Answer:

(-4,9)

Step-by-step explanation:

When you reflect over the y axis, The X coordinate changes to opposite, the Y doesn't change

Please help me!
Will give brainlst :)

Answers

Answer:

Step-by-step explanation:

Answer:

this is a line with a slope of 1 and a y-intercept of 3

Evaluate the following
6!

Answers

Answer:

Mind showing a picture?

Thank you!

need it asap please!!!!

Answers

the answer is 0 & 0 is a rational number. so the answer is rational.

Answer:

they are rational numbers

A tray contains 16 cocholate chip cookies and 12 oat meal raisin cookies. HOw many ways cna a child select 3 cookies that include at least 1 chocolate chip cookie

Answers

Answer:

there are three ways

Step-by-step explanation:

three choclate chip

two choclate chip one oatmeal rasin

1 choclate chip 2 oatmeal rasin

a number less than 20 amounts to three times the number

Answers

Answer:

20 - x = 3x

Step-by-step explanation:

A number less than 20 amounts to three times the number

20 - x = 3x

Please help me
Due today.

Answers

Answer:

C.

Step-by-step explanation:

D or C

Hope this helps!

Solve for x. 4(x - 1) + 3x = 31*

Answers

Answer:

x=5

Step-by-step explanation:

4(−1)+3=31

4−4+3=31

in which set are all of the numbers solutions to the inequality x < -3?

Answers

Answer:

x = -4, -5, -6, -7...

Step-by-step explanation:

x = all negative integers less than -3

Find the measure of z.

regular pentagon


120°


144°


108°


135°

Answers

The measure of m∠z is 135°.

What is Octagon?

A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.

As, Each inner angle is the same measure because it is a regular octagon.

To calculate the interior angle sum of a polygon, we have a formula.

The total internal angle of a polygon

= (n -2)180°, where "n" is the number of sides.

Here, n = 8

Then, sum of the interior angles.

= (8 -2)180

= 6 x 180

= 1080°

Thus, the measure of m∠z = 1080/ 8  = 135°

Learn more about Octagon here:

https://brainly.com/question/11658698

#SPJ7

Find the value of x.
71
O
(16x-2)
x=

Answers

Answer:

x = 9

Step-by-step explanation:

m<K = 71°

arc JL = 16x - 2

m<k = ½(arc JL) => inscribed angles theorem

Substitute

71 = ½(16x - 2)

Multiply both sides by 2

71*2 = 16x - 2

142 = 16x - 2

Add 2 to both sides

142 + 2 = 16x - 2 + 2

144 = 16x

Divide both sides by 16

144/16 = 16x/16

9 = x

x = 9

Question help on this problem! Please

Answers

Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

Answer:

The second, the third and the last statement is true.

Hope this helps!

CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...

Answers

Answer:

one of the triangles is 7.5, if you need both areas then it is 15cm2

Step-by-step explanation:

multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.

What is the answer for this question above

Answers

Answer:

Option A, 130°

Hope this helps!

Help me plsssssssss :(

Answers

Answer:

I would love to help you but what am I helping with there is no question there other that "Help me plssssss"

Step-by-step explanation:

HELP PLEASE If 2x−y = 0 and x−2y=3, then 6x−6y =
(A) 6
(B) 12
(C) 18
(D) 21
(E) 24

Answers

Answer:

A) 6

Step-by-step explanation:

A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n = 44 windows yields a sample mean of 0.337 inch.

Required:
What is the probability of x >= 20.337 if the windows meet the standards?

Answers

Answer:

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.

This means [tex]\mu = 0.325, \sigma = 0.065[/tex]

Sample of 44

This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]

What is the probability of x >= 0.337 if the windows meet the standards?

This is 1 subtracted by the p-value of Z when X = 0.337. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]

[tex]Z = 1.225[/tex]

[tex]Z = 1.225[/tex] has a p-value of 0.8898

1 - 0.8898 = 0.1102

0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.

if the simple interest on $1000 for 10 years is $400, then what is the interest rate?

Answers

The interest rate on this problem would be 4 percent

A line segment's measurement(s) include which of the following?
Check all that apply.
A. None of these
B. Width
C. Height
D. Length

Answers

Answer:

D. Length

Step-by-step explanation:

We measure the length of a line segment, and thus, the correct answer is given by option D.

The length of a line segment is the distance between it's endpoints, using the formula for the distance between two points given below.

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Write the Equation of a line given slope and y-intercept or points
1) b = 17/5 and m=3

Answers

Answer:

I'm sorry hindi ko po alam

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
3v+2v–2v

Answers

Sorry if I’m wrong but I think it’s 3v

A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approximate the volume of wood used to construct the box. Round your answer to the nearest tenth. brainly

Answers

Answer:

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Step-by-step explanation:

Given:

Side of regular pentagonal prism = 1 cm

Height of regular pentagonal prism = 1 cm

Find:

Volume of regular pentagonal prism

Computtaion:

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)

Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]

Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]

Volume of regular pentagonal prism = (0.25)[√5{9.472}]

Volume of regular pentagonal prism = (0.25)[√47.36]

Volume of regular pentagonal prism = (0.25)[6.8818]

Volume of regular pentagonal prism = 1.72045

Volume of regular pentagonal prism = 1.72 cm³ (Approx.)

Answer:

217.96 or 218.0 in Big Ideas Math

Thanks Harlan for helping me understand this problem

Step-by-step explanation:

volume of the whole prism - smaller inner prism

Bigger Prism (apothem = 4, height = 6)

360/5 = 72   72/2 = 36

4 · tan (36) = 2.906

2.906 · 4 = 11.6247

11.6247 · 5 = 58.1234  ← The area of the Pentagon

58 · 6 = 348.740 ← The Bigger Prism Volume

Smaller Prism (apothem = 3, height = 4)

Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)

3 · tan (36) = 2.1796

2.1796 · 3 = 6.5389

6.5389 · 5 = 32.6944  ← small Pentagon Area

32.6944 · 4 = 130.7777  ← Small Pentagon Prism Volume

Final Step

Area of big prism - small prism

348.74041 - 130.7777 = 217.9627

Round to the nearest tenth ⇒ 218.0

Match each to the best answer.

Answers

The matches are
1c
2a
3d
4b

multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST

Answers

[tex]\boxed{30.6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]9 \times 3.4 \\ = 30.6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

What is the volume of a sphere with a surface area of 25pi / (d ^ 2)

Answers

Answer:

B. [tex] \frac{125}{6}* \pi [/tex] yd³

Step-by-step explanation:

Given:

Surface area of a sphere = 25π yd²

Required:

Volume

Solution:

Let's find the radius (r) first.

S.A of sphere = 4πr²

Substitute

25π = 4πr²

Divide both sides by 4π

25π/4π = r²

25/4 = r²

Take the square root of both sides

√25/√4 = r

5/2 = r

r = 5/2 yd

Find the Volume of the sphere

V = ⁴/3*πr³

V = ⁴/3*π*(⁵/2)³

V = ⁴/3*π*125/8

V = ⅓*π*125/2

V = [tex] \frac{1*125}{3*2}* \pi [/tex]

V = [tex] \frac{125}{6}* \pi [/tex] yd³

Plz help PppppLz plz someone worth 21 pt and brainlest

Answers

Answer:

This is a case of direct variation. Hence,

210/1=x/2

x=420

since 2 pandas eat it each day hence

420/7

=60

60 pounds is the answer.(sure)

Step-by-step explanation:

Hope it helps you.

Answer: 60 pounds

Step-by-step explanation:

210 pounds a week

Divide by 7 days (a week)

Equals 30 pounds a day/ per panda

There is 2 pandas so 30 pounds times 2 equals 60 pounds

Confusion...help please

Answers

Given:

In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.

To find:

The length of the side KM to the nearest tenth of a centimeter.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In the given right triangle KLM,

[tex]\cos K=\dfrac{KM}{KL}[/tex]

[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]

[tex]0.819152=\dfrac{KM}{123}[/tex]

Multiply both sides by 123.

[tex]0.819152\times 123=KM[/tex]

[tex]100.755696=KM[/tex]

[tex]KM\approx 100.8[/tex]

The measure of side KM is 100.8 cm.

Therefore, the correct option is (2).

Which value of x makes the equation 2+4(6-2x)= 8 true?​

Answers

Answer:

Step-by-step explanation:

2+4(6-2x)=8

2+24-8x=8

26-8x=8

26-8=8x

18/8=x

2.25=x

substitute the value of x

2+4(6-2x)

2+4(6-2*2.25)

2+6

8

therefore 8=8 so it is true

Answer:

Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.

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