What is the length of the apothem of the regular pentagon shown below? Round to one decimal place

What Is The Length Of The Apothem Of The Regular Pentagon Shown Below? Round To One Decimal Place

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Draw a diagonal line connecting the centre to a vertex at the bottom. This makes a triangle. It is a regular pentagon so the base of that triangle is 7.6 / 2, which is 3.8. You also know that the angle from the apothem to the base is 90 degrees. You also know that you could split the centre angle into 5 triangles. 360 / 5 = 72 and we have half of it so it is 36 degrees.

Let's see what we have so far:

The base of the triangle is 3.8

The angle at the bottom is 90

The angle at the top is 36

We now have the tan and the opposite and we need the adjacent so rearrange for adjacent.

This gives you adjacent = opposite / tan(angle)

adjacent = 3.8 / tan(36)

adjacent = 5.2m


Related Questions

A man earns $1500 a week. He saves $500. What percentage did he spend?

Answers

Answer:

3313%

Step-by-step explanation:

He spent 66.67%. Check below for reference:

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are multiples of 4 or 7

Answers

Answer:

Multiples of 4= 28

Multiples of 7= 7,21,28,35,42

Step-by-step explanation:

I hope this helps, and have a great day! :)

A map has a scale of 2.5 inches : 4 miles. If two cities are 6 inches away from each other on the map, how far apart are they in real life?

Answers

Answer:

14.4

Step-by-step explanation:

2.5 divided by 6 is 2.4

2.4 x 6 = 14.4

Can somebody please answer the question giving brainliest!

Answers

Answer:

A counter clockwise

Step-by-step explanation:

4b+5=1+5b
B=____

What do I do....I kinda forgot how to do this...







Answers

Answer:

b = 4

Step-by-step explanation:

4b + 5 = 1 + 5b

4b-5b + 5 = 1

4b-5b = 1 - 5

-b = 1 - 5

-b = -4

-b = -4

b - 4

PROINTERENCIAS cuyos RADIOS HIDEN 115m
225m
SON TAN GENJES EXTERIOVENTE ENTRE
OGULOS QUE SE FORAN CUANDO SE UNEN
ros
DE DICHAS CIRCUNFERENCIAS​

Answers

Answer: what does this say

Step-by-step explanation:

what is the area of this parralelogram? h=4 inch b=7 inch

Answers

Answer:

28cm^2

Step-by-step explanation:

4 x 7

Answer:

no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet

There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
what is the least number of students who could be taking Algebra 1? The least number of students is (pe numbers only)

Help asap

Answers

Answer: 54

Step-by-step explanation:


Find the distance between A and B.
A 12 units
B.V106 units
C.9 units
D. 2/12 units

Answers

Answer:

B. [tex] \sqrt{106} [/tex]

Step-by-step explanation:

Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-4, 3) = (x_1, y_1) [/tex]

[tex] (5, -2) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]

[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{81 + 25} [/tex]

[tex] d = \sqrt{106} [/tex]

A college alumni office is choosing a new alumni board of 12 people. They have 25 total applicants.
How many different combinations without repetition of 12 people are there?

Answers

Answer:

5200300

Step-by-step explanation:

Use Combination

25C12=25!/12!(25-12)!

The different combinations without repetition of 12 people will be equal to 5,200,300.

What is a Factorial?

When a whole number is multiplied by each natural number underneath it, the result is known as its factorial. The symbol "!" can represent the idea of a factorial. As a result, "n factorial" is just n and is defined as the sum of the first n natural integers.

As per the given information in the question,

Total number of people chosen by the board = 12

Total number of applicants = 25

Then the number of combinations without repetition will be = ²⁵C₁₂

= [tex]\frac{25 !}{12!(25-12)!}[/tex]

= 25!/(12! × 13!)

= 5,200,300

To know more about Factorial:

https://brainly.com/question/16745729

#SPJ2

Is the equation 5x = 7x always, sometimes, or never true? Explain.

Answers

Answer:

Step-by-step explanation:

If x = 0, 5x = 7x is true.

If x = 1, 5x ≠ 7x

5x = 7x is sometimes true.

write a real-world problem given the equation 2/3x = 12. Then solve the equation.
please answer it quickly 15 points

Answers

Answer:

x = 1/18

Step-by-step explanation:

2/3x = 12

multiply both sides by 3x

2/3x(3x) = 12(3x)

2 = 36x

x = 1/18

helppppppppppppppppppppp

Answers

We can apply the Pythagorean theorem:

c= (SQ)

a=RQ = 4

b=RS = 4

c²=a²+b²

c=√(16+16)

c=√32

c=4√2

SV=0,5*SQ

SV=0,5*c

SV=√2

'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।​

Answers

Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

A line segment can intersect a regular hexagon in ________?

1. eight points
2. two points
3. six points
4. four points​

Answers

The answer is 3. Six points

hope this helps

Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as many villagers as he had in the one before. The game gave Chase 4 villagers to start with. Explain to Chase how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 17th town.

Answers

Answer:

Step-by-step explanation:

a sub n  = a sub 1 x r ^ n-1

a sub n = 17 since that's what's in question

a sub 1 = 4 since that's the starting amount

r = 1.13 since that's the difference 

a sub 17 = 4(1.13) ^17-1

a sub 17 = 4(7.0673255268)

a sub 17 = 28.2693021072

a sub 17 ≈ 28.37

Please vote brainliest

The number of villagers that Chase can create to live in his 17th town is 28.27.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,

[tex]A = 4(1.13)^{(n-1)}[/tex]

Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].

B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,

[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]

Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.

Learn more about Function:

https://brainly.com/question/5245372

6.5.PS-26
Question Help
Nick has an album that holds 700 hockey cards. Each page of the album holds 7 hockey cards. If
72% of the album is empty, how many pages are filled with hockey cards?
FASTTT

Answers

Number of hockey cards in Nick's album = 700

Number of hockey cards in each page of the album = 7

Number of pages in Nick's album :

[tex] = \tt \frac{700}{7} [/tex]

[tex] = \tt100[/tex]

▪︎Thus, the number of pages in Nick's album = 100

Percentage of album that is empty = 72%

Number of pages in the album that is empty :

[tex] = \tt 72\% \: \: of \: \: 100[/tex]

[tex] =\tt \frac{72}{100} \times 100[/tex]

[tex] = \tt \frac{72 \times100}{100} [/tex]

[tex] =\tt \frac{7200}{100} [/tex]

[tex] \color{plum}= \tt72 \: pages[/tex]

▪︎Thus, the number of empty pages in the album = 72

Number of pages in the album that are filled :

[tex] =\tt 100 - 72[/tex]

[tex]\color{plum} = \tt28 \: pages[/tex]

▪︎Therefore :

Number of pages filled with hockey cards = 28

Find the average rate of change

Answers

Answer:  The answer to this question would be  -6.

I hope this helped!

Answer:

-6

Step-by-step explanation:

g(-3) - g(0) / -3-0

= [2(-3²) + 10] - (0 + 10) ÷ -3

= (28 - 10) / -3

= -18/3

= -6

In a school,2/15 of the students are boys and the rest are girls .If the number of girls is 1950,Find 5he number of boys​

Answers

Answer:

300

Step-by-step explanation:

heloooo

(-24) + (-25) =

Answers

la respuesta es (-24)+(-25)-49

Answer:

- 49

Step-by-step explanation:

= -24-25(because - and + becomes -)

= -49

What is the measure of EACH exterior angle for this regular octagon?

360
45
1080
135

Answers

Answer:

Exterior angle = 45° each

Step-by-step explanation:

Given:

Number of side n = 8

Find:

Exterior angle

Computation:

Exterior angle =360° / n.

Exterior angle =360° / 8

Exterior angle = 45° each

The weight of water is 62 1/2 lb per cubic foot. Water that weighs 350 lb will fill how many cubic​ feet?

Answers

The question is worded incorrectly.  It should say the DENSITY of water is 62 1/2 lbs per cubic foot.  Divide the weight by the density to get volume.

(150 lbs) / (62.5 lbs/ft3) = ? ft3 (the two 3's are exponents. so it'd be ft then an exponent of 3.)

what is 4(z+6)=2965 I need the answer and how you did it

Answers

Answer:

z = 735.25

Step-by-step explanation:

Following steps explain :

[tex]\frac{4\left(z+6\right)}{4}=\frac{2965}{4}\\z+6=\frac{2965}{4}\\z+6-6=\frac{2965}{4}-6\\z=735.25z=\frac{2941}{4}[/tex]

Looks kinda sloppy, but I think you can see what I did :)

#SpreadTheLove <3

I need help please.

Answers

Answer:

b

Step-by-step explanation:

beacause 2x+60 thats the answer

PLEASE HELP! URGENT

Answers

This is so easy give me time to answer it7293

50°

Step-by-step explanation:

notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°

The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the
chess club. What is the number of girls in the chess club?

Answers

Answer:

21 girls

Step-by-step explanation:

3 girls: 2 boys

multiply both sides by 7

21 girls: 14 boys

If x= 9 in what is the surface area of the geometric shape formed by this net?

Answers

Answer:

D

Step-by-step explanation:

Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2

At a used bookstore, Cindy bought 2 paperback books for $1.75 and some children's books for $0.75 each,
including tax. She spent a total of $5.75. How many children's books did Cindy buy?
A. 3
B. 4
C. 5
D. 7
Ο Α
B
ос
D

Answers

C. 5 bc u jus gotta add it on the calculator

(2a+5)³ is equal to 8a³+60a²+________?​

Answers

the answer is will be +50a+125

I Need The Awnsers For This

Answers

Answer: m<2= 126 and is supplementary angle

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