The area of a regular polygon is 100.8cm2. The perimeter is 56cm, what is the length of the apothem

Answers

Answer 1

Answer:

3.6 cm

Step-by-step explanation:

Note that:

Area = 1/2 x perimeter x apothem.

To find the Apothem, the formula =

Area ÷ (1/2 × Perimeter)

Area = 100.8cm²

Perimeter = 56 cm

Hence,

Apothem =

100.8 cm² ÷ (1/2 × 56 cm)

= 100.8cm² ÷ 28cm

= 3.6 cm

Therefore, the Length of the apothem is 3.6 cm


Related Questions

Which is true about the angle relationships in the


rectangle? Check all that apply.


BEA and Z CED are vertical angles and equal


76º.


ZABE and Z CBE are complementary angles.


BEC and Z CED are vertical angles.


BEA and AED are supplementary angles


whose sum is 180°


BEC and AED are adjacent angles.

Answers

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles

Answers: A B D

Step-by-step explanation:

I did the quiz

If AB = 15, what is the length of DE?

12

14

16

18

Answers

Answer:

16

Step-by-step explanation:

Answer:16

Step-by-step explanation:

What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm long, 11 cm wide, and 8 cm tall?

Answers

When I put the right answer it says it’s wrong

Answer:

The answer is 18.1

Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function

Answers

Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

Write 2^3 ÷ √ 2 as a single power of 2.

Answers

Answer:

Step-by-step explanation:

Numerator:  2^3

Denominator:  2^(1/2)

Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)

I will mark you brainliest if correct

Answers

Answer:

i think its 8.2

Step-by-step explanation:

During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 54 centimeters in 6 days, what is the water level increase rate in centimeters per day

Answers

Answer:

7 centimeters per day.

Step-by-step explanation:

28 centimeters / 4 days = 7 centimeters per day

Answer:

9 centimeters per day

Step-by-step explanation:

54 centimeters / 6 days = 9 centimeters per day

what does 2x=3x-10 equal​

Answers

Answer:

10

Step-by-step explanation:

2x - 3x = -10

-1x = -10

x = 10

En la tienda de electrónica Se vende un televisor en 15480 pesos pero tendrá un descuento del 35% de su precio entonces cuánto costará el televisor y con el descuento

Answers

Respuesta:

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 10.062 pesos

Explicación paso a paso:

Costo inicial de televisión = 15,480 pesos

Porcentaje de descuento = 35%

Cantidad descontada = 35% de 15,480

Cantidad descontada = 0.35 * 15,480

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 15.480 - 5.418

Nuevo precio de la televisión = 10.062 pesos

is any body board because i am:(

Answers

frl this place is boring

Correct spelling is “bored”

But yes I am too

Help me plz and show work <3

Answers

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

here's your solution

=> 7y + 2x = 5

=> 7y = 5 - 2x

=> y = (5-2x)/7

[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]

You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft

Answers

Answer:

2ft

Step-by-step explanation:

The width of the box is 2 ft.

Here,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

We have to find the width of box.

What is Volume of box?

The volume of box is defined as, the multiply of length, width, height.

Now,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

Since, Volume of box = Length x width x height

Let width of box is x ft.

Volume of box = 2 * x * 4

16 = 8x

x = 2

Hence, The width of the box is 2 ft.

Learn more about the volume visit:

https://brainly.com/question/15102472

#SPJ2

Plz answer i'll give brainliest but it has to be right.

Answers

3 -3/4 and 2 pls brainlest

IF YOU ANSWER THESE TWO I'LL GIVE BRAINLIEST (if you only answer one no brainliest)

Answers

The clock one is 20 because there are 4 weeks past and you would just plug that into the equation. The catering one is 118 , also plugging into the equation given.

Answer:

The first question provided (question 11)

The answer is $118.00

The second question provided (question 12)

The answer is 20 seconds

Step-by-step explanation:

The first question provided (question 11)

The equation 5a + 3c is provided to determine the cost of a catering event, where a is the number of adults and c is the number of children.

It is stated that there are 17 adults and 11 children attending an event.

You can substitute in the 17 adults in place of a and the 11 children in place of c.

This will leave you with 5(17) + 3(11).

If you simplify you will get 85 + 33, which is equal to 118

Therefore, the answer is $118.00.

The second question provided (question 12)

The equation s = 5w is provided to determine how far behind a clock is after a certain amount of time, where s is seconds behind and w is the number of weeks sice the clock was last set.

You are given the clock was set 4 weeks ago.

You can subsitute the 4 weeks into the equation in place of variable w.

This leaves you with s = 5(4).

Simplifying this further, you will get s = 20.

Therefore, the clock is 20 seconds behind.

evauate the problem 5y=30

Answers

Answer:

y = 6

Step-by-step explanation:

5y = 30

5y ÷ 5 = 30 ÷ 5

y = 6

Y=6
5x6=30

Hope this helped

[tex]\sqrt{56x^2}[/tex]

Answers

Answer:

2( the thingy and inside) 14x

Answer:

2x square root 13!!

Explanation:

Which expression is equivalent to 9m – 36?

A. 9(m – 36)
B. 8m – 12 + m + 48
C. 9(m + 4)
D. -12m + 4 + 21m – 40

Answers

The expression is equivalent to 9m-36 is
D is the right answer

WILL GIVE BRAINLIEST!!!!
Solve the inequality:

n - 48 < 12

Answers

Answer: n < 60

Step-by-step explanation:

n - 48 < 12

n - 48 + 48 < 12 + 48

n < 60

What is the answer to -12= x -5?

Answers

Answer:

Step-by-step explanation:

-12 = x-5

5-12 = x -5 + 5

-7  = x

there you go :)

Answer:

x = -7

Step-by-step explanation:

1. Write the equation.

-12 = x - 5

2. Since 5 is negative and we want to leave x by itself, add 5 to both sides. Adding 5 with cancel out the -5.

-12 +5 = x -5 +5

3. When you add +5 to -12, the equation you are left with will be:

-7 = x

Hope this helps :)

Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answers

Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

Coach Smith purchased x footballs and y basketballs at a sporting goods store. The price of one football was $35.00 and the price of one basketball was $45.00. There was no tax included on the purchase. Part A. Write an expression that can be used to find the total cost of x footballs and y basketballs. Part B. The total cost of the purchase was $455.00. If Coach Smith purchased 4 footballs, find the number of basketballs he purchased.

Answers

The answer is 7 because it just is uuhm

HELP ASAP IXL PLZ HELP

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (- 3, 3 ) → R' (3, 3 )

S (- 3, 8 ) → S' (3, 8 )

T (- 2, 7 ) → T' (2, 7 )

En aquest moment, la diferència de preu entre dos cotxes és de 987€. Quina serà la nova diferència si el model més car disminueix 50€ en el preu i el més econòmic augmenta en 200€?

Answers

Answer:

Step-by-step explanation:

Pls help i really need it rn-

Answers

This is just what I think, it might not be right- the first one is (-2, 4), the second one is (-5, 1), the third one is (-2, -2), and the fourth one is (1, 1).

(Sorry if it's wrong-)

important question need help

Answers

Inthinknitsbthe second one I THINK

Answer:

options 3 and 4

Step-by-step explanation:

The exponential function f with base a is defined by

f(x) = a^x

so the exponential functions are options 3 and 4

Solve the equation below for x.

9(x - 5) = 4x - 5

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

2 + 7(8-5x) - 25 - 2x please help!!!

Answers

Answer:

-37x + 33

Step-by-step explanation:

What is -29=9-6k-2k-14 If you don't know do not answer!!!
MUST SHOW WORK!!!

Answers

Answer:

Positive 3

Step-by-step explanation:

-29=9-6k-2k-14

-29=-5-8k

-24=-8k

k=3

A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?

Answers

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

what is the answer to X-10=12​

Answers

Answer:

x=22

Step-by-step explanation:

x-10=12

add 10 to each side..

x-10=12

 +10   +10

12+10=22

x=22

im bad at explaining but hope it helps <3

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