A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

Apothem = 3.3 units

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

The formula to find the area of a polygon when given Apothem and Side length =

A = 1/2 × a × p

Where p = no of sides of polygon × side length

In the above question,

We are given a polygon = nonagon = 9 sides

Side length = 7 units

p = 9 × 7 = 63 units

Area = 102.4 square units

Apothem = a = ?

We substitute into the formula

102.4 = 1/2 × a × 63

102.4 = 63a/2

Cross Multiply

102.4 × 2 = 63a

Divide both sides by 63

a = 102.4 × 2/63

a = 3.2507936508 units

Approximately to the nearest tenth = 3.3 units


Related Questions

You and a friend are racing each other to swim 500 meters. You complete 50 meters in 45 seconds. Your friend completes 150 meters in 2 minutes. Who won the race and by how much?? no links

Answers

Answer:

your friend by 50 seconds

Step-by-step explanation:

150 divided by 3 equals to 50 so you would also divide 120 minutes by 3 to get 40

You: 50 meters per 45 seconds

Friend: 50 meters in 40 seconds

50 times 10 equals 500 meters so we will multiply both number of seconds by 10

You:45*10=450

Friend: 40*10=400

450>400 so the friend swims the fastest

450-400= is 50 seconds

So the friend swims the fastest by 50 seconds


(b) If the median of the following data is 40, write down
the class where the median lies.

Answers

Answer:

maximum- median

80-50=30

30 POINTS
I think i have it right this time

Answers

Answer:

your answer is b

Step-by-step explanation:

Suppose you are asked to find the missing vertex of a rectangle in a coordinate plane. What information will help you determine the missing coordinate?

Answers

The distance of the other points from each other. Since each pair of sides are the same, you can use them to find the fourth vertex

The information to determine the missing coordinates is given below.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given;

A rectangle is drawn in the coordinate plane.

That means, each vertex has coordinates.

To find the missing vertex of a rectangle in a coordinate plane:

We should have the three known vertices.

Then use the formula,

w = t + v - u for each of the coordinates.

Therefore, the information to determine the missing coordinates is given above.

To learn more about the coordinates;

https://brainly.com/question/27749090

#SPJ2

Will give brainiest to whoever figured this out

Answers

Answer:

your answer will be 0.0001042

Step-by-step explanation:

hope it helps

have a wonderful day

5(a+b), if a = -4, b= -2

HELP PLZ

Answers

Answer:=−10

Step-by-step explanation:

[tex]{ \rightarrow{ \sf{ \green{ \: \: \: 5(a + b)}}}} \\ \\ { \tt{ \blue{a = - 4}}} \\ { \tt{ \blue{b = - 2}}} \\ \\ { \dashrightarrow{ \sf{ \green{5( - 4 - 2)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{5 \times ( - 6)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{ - 30}}}}[/tex]

D Melissa takes the 10 30 from Christchurch. How long does she wait in Wellington? Hour minutes

Answers

Answer:

1:45 hours

Step-by-step explanation:

Given

See attachment for missing part of the question

Required

How long she waits in Wellington

From the question:

She takes the 10 30 from Christchurch

So:

[tex]Christchurch\ Depart = 10\ 30[/tex]

This implies that:

She has to wait until Wellington arrives at 11 15

So:

[tex]Wellington\ Arrives= 11\ 15[/tex]

So, the wait time is:

[tex]Wait\ time = Wellington\ Arrives - Christchurch\ depart[/tex]

[tex]Wait\ time = 11: 15 - 10: 30[/tex]

[tex]Wait\ time = 1:45\ hr[/tex]

which term is a perfect square of the root 3x4?

Answers

Answer:

4

Step-by-step explanation:

Answer:

9x^8

Step-by-step explanation:

good luck

Jasmine had $120,000 last year. This year she has $50,000

What is the percentage difference?

Answers

50000 is the old value and 120000 is the new value. In this case we have a positive change (increase) of 140 percent because the new value is greater than the old value.

The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

What is percentage?

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The last year value = $120000,

The new value of this year = $50000,

Calculate the percentage by the following formula,

Percentage difference = The new value of this year / The last year's value ×100

Substitute value

Percentage difference = 50000 / 120000 × 100

Percentage difference = 41.6%

Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

To know more about percentages:

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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round your answer to the nearest tenth if necessary.
O
S
N
10
L
13
M
R
P
56
Q

Answers

The answer would be 43
13/56 = 10/x
13x = 560
X = 43.077
X =43.1

what number can go into 42 and 21

Answers

Answer:

7

Step-by-step explanation:

Answer:

1,3,7,21 all of those are factors of 42 and 21.

They all can go

Step-by-step explanation:

Hope this helps

A florist creates 46 floral arrangements every 3 days. How many floral arrangements will the florist create in 3 weeks?

Answers

Answer:

322

Step-by-step explanation:

what is the answer to this​

Answers

Answer:

im going with c anyone else

Step-by-step explanation:

what would my answer be?

Answers

Since triangle is isosceles, that means that unknown angles are equal. 180-72=108
108:2=54
So you’re answer would be: 54 degrees.

help me plssss lsss i really need help today like today today

Answers

Answer:

1. Reflection across the x-axis:

  1) (-2,-2)

  2) (-1,-4)

  3) (3,-4)

2. Reflect across the y-acis:

  1) (-1,-3)

  2) (-2,1)

  3) (-4,1)

Brainiest PLZZZ

An annual pass to an amusement
park costs $87.95 per person. If
the park makes $52,770 from these
sale of passes, which equation can
you use to find the total number of
annual passes purchased?

Answers

Answer:

87.95x = 52,770

600 annual passes were purchased

Which graph best represents the equation y = -2x + 5?

Answers

Answer:

B) The top right choice.

Step-by-step explanation:

The graph of the equation y = - 2x + 5 is shown in figure.

Option 2 is true.

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation is,

⇒ y = - 2x + 5

Now,

Since, The equation is,

⇒ y = - 2x + 5

By comparing of the slope - intercept form of the equation of line,

y = mx + b we get;

⇒ Slope = - 2

And, The y - intercept = 5

So, The graph of the equation is passes through the point (0, 5) with slope - 2.

Learn more about the equation of line visit:

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which is written in standard form ? A,B,C, or D

Answers

Answer:

c is in standard form

Step-by-step explanation: hoped I helped

In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What equation represents "there are 3 more girls than boys?"
A. G = B + 3
B. B = G + 3
C. 6B = 5G
D. 6G = 5B

Answers

Answer:

the answer is d

Step-by-step explanation:

I came to this answer with simple deduction and process of elimination.

Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16

Answers

Answer:

C is correct

Step-by-step explanation: c is correct great job

A person places $127 in an investment account earning an annual rate of 4.2%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.

Answers

Answer: $248.68

Step-by-step explanation:

Given

Money compounded according to

[tex]\Rightarrow V=Pe^{rt}\\[/tex]

Here, P=$127

r=4.2%

t=16 years

[tex]\Rightarrow V=127e^{0.042\times 16}\\\\\Rightarrow V=127e^{0.672}=127\times 1.958\\\\\Rightarrow V=\$248.68[/tex]

Value after 16 years is $248.68

Answer: 248.69

Step-by-step explanation:

r= 4.2%

=0.042

r=4.2%=0.042

P= 127

P=127

t=16

t=16

V

=

P

e

r

t

V=Pe

rt

V

=

127

e

0.042

(

16

)

V=127e

0.042(16)

V

=

127

e

0.672

V=127e

0.672

V

=

248.685

248.69

V=248.685≈248.69

If 50 students were surveyed, how many chose
chocolate?
V 20 students
If 80 students were surveyed, how many chose vanilla?
20 students

Answers

Answer:

If 50 students were surveyed, how many chose

chocolate?

20 students

If 80 students were surveyed, how many chose vanilla?

20 students

Step-by-step explanation:

Find the height of the cone. Round your answer to the nearest whole number.
h
8 in.
Volume = 670 in 3

Answers

Answer:

3

Step-by-step explanation:

3.34in is ans and after rounding off we can get 3

explain how to write an equivalent expression using the distributive property 2(11+y)

Answers

Answer:

Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y

Step-by-step explanation:

you're welcome

x^2 - 10x + 24 = 024

Answers

Answer:

x=0,10

Step-by-step explanation:

what’s the answer? (picture)

Answers

I think it would be B i’m sorry if it’s wrong have a good day!

2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.

Answers

You have to multiply all 3 so I believe it’s 14.04 I hope it’s correct!

Answer:

14.04      

Step-by-step explanation:                                                                                                       :)

in parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD

Answers

Answer:

Step-by-step explanation:

BC=AD

3x-1=x+5

3x-x=5+1

2x=6

x=3

BC=3×3-1=8

CD=2x=2×3=6

perimeter=2(8+6)=2(14)=28

is this right plz help​

Answers

Answer:

yes you are correct :)

Step-by-step explanation:

Yes you are correct because y intercept or the b is on the y line meaning 0,3 and the m or the slope is going down by 2 each or up by 2

need help ASAP !!!

[tex] \sqrt{8745 \times 8745} [/tex]

Answers

Answer:

8745

Step-by-step explanation:

Here,

[tex] \sqrt{8745 \times 8745} [/tex]

= 8745 (Ans)

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