What is the length of one side of this regular pentagon if the area is 50 and apothem is 4?

What Is The Length Of One Side Of This Regular Pentagon If The Area Is 50 And Apothem Is 4?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

i took the test

Answer 2

The required length of one side of the given regular pentagon is  5 units.

What is a polygon?

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem

Since the pentagon is regular, all sides are equal, so we can write:

Perimeter = 5 * Length of one side

Substitute in the first expression

50 = (1/2) * 5 * Length of one side * 4

50 = 10 * Length of one side

Length of one side = 5

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Related Questions

PLS PLS PLS PLS HELP ME
Exponents work the same way on bases that are _[blank A]_ as they do on bases that are numbers.

When a variable has an exponent, the exponent tells you how many times the variable is _[blank B]_ by itself.

In order to make a negative exponent positive, you must take the _[blank C]_ of the base.

A variable raised to the power of _[blank D]_ is always equal to 1.

Match each blank with the correct item that fills in that blank.

multiplied
0
exponents
reciprocal
1
added
variables
opposite

Answers

A - variables

B - multiplied

C - reciprocal?

D - 0

//

I'm not too sure about C. it can either be the reciprocal or the opposite.

100 POINTS IF YOU HELP MEE !! AND ILL GIVE BRAINLISTT !! Complete each statement with the number used to create an equivalent fraction. Multiply to by in both the numerator and denominator to get Multiply { by in both the numerator and denominator to get 16 Multiply by in both the numerator and denominator to get 24 Multiply 1 by in both the numerator and denominator to get 16

Answers

Answer:

Step-by-step explanation:

8/8     5/5

Round the 136.501 to the whole number.​

Answers

Answer:

137

Step-by-step explanation:

137 because when it's .5 or higher you round up

Expanded form of 5*10^-9​

Answers

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

Carl is deriving the quadratic equation by completing the square. His work at one of the steps is shown. x + b/na = + or - b^2-4ac. Carl is not sure what the value of n is. What value should he use to continue deriving the quadratic equation correctly? A. 1 B. 2 C. 3 D. 4

Answers

Answer:

the correct option is B. 2

Step-by-step explanation:

As given,

x + [tex]\frac{b}{na}[/tex] = ± √b²-4ac

⇒x = -[tex]\frac{b}{na}[/tex] ± √b²-4ac

As e know that the quadratic formula is

x = [tex]\frac{-b + or - \sqrt{b^{2} - 4ac } }{2a}[/tex]

So , by comparing with the formula

we get

n = 2

So, the correct option is B. 2

Find the missing length?

A. 18in
B. 6in
C. 2in
D. 36in

Answers

Answer:

B. 6in

Step-by-step explanation:

We can use the Pythagorean theorem [ a² + b² = c² ] to find the missing side.

8² + b² = 10²

64 + b² = 100

b² = 36

b = 6

Best of Luck!

Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.3)⋅(0.2)

Answers

Answer:

(3/10)(2/10) = 6/100 = 0.06

PLEASE HELP ASAP!
Triangle CAT has vertices C (2,3), A(-2,6) and T(-1,-4). A translation maps the point A to A' (-1,4). What are the coordinates of C' under this translation?
A. (1, -3)
B. (3, 1)
C. (1, 8)
D. (-8, 1)

Answers

you add 1 and subtracted 2

so 2 + 1 = 3

3 - 2 = 1

answer: b. (3, 1)

Cash loan $100 20.0% 3 years $6 (100 x .2 x .3) $106 ($100 + $6) Big-screen TV $500 9.0% 4 years $ (500x $ College loan $13,000 4.5% 15 years $ $

Answers

Answer:

Cash loan = $160

Big screen TV = $680

College loan = $$21775

Step-by-step explanation:

Cash loan :

Loan amount or principal = $100

Interest rate, r = 20.0%

Time, t = 3 years

Using the relation :

Simple interest = Principal * rate * time

$100 * 0.2 * 3 = $60

Final amount = loan amount + interest on loan

Final amount = $100 + $60 = $160

Big Screen TV:

Principal = $500

Rate, r = 9.0%

Time, t = 4 years

Interest amount = (500 * 0.09 * 4)

Interest amount = $180

Final amount = principal amount + interest on loan

Final amount = $500 + $180 = $680

College loan

Principal, = $13,000

Rate, r = 4.5%

Time, t = 15 years

Interest amount = (13000 * 0.045 * 15)

Interest amount = $8775

Final amount = principal amount + interest on loan

Final amount = $13000 + $8775 = $21775

If the points at (-4, 3) and (2, 3) are reflected over the x-axis to create two new points, what shape can be formed by the four points? Select the most precise description of the shape.



square
rectangle
triangle
trapezoid

Answers

Answer:

square

Step-by-step explanation:

P = 100 - 20 cos (8πt/3) That's (8 pi t /3) where t is the time (in seconds). What is the period of the model? Discuss what the period represents in the context of this model.

Answers

Answer:

The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.

Step-by-step explanation:

Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:

[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]T[/tex] - Period, measured in seconds.

Then, we solve (1) for [tex]T[/tex]:

[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]

[tex]T = \frac{6\pi}{8}\,s[/tex]

[tex]T = \frac{3\pi}{4}\,s[/tex]

The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.

What is a perfect square? Why is [tex]x^{2} + 8x +16[/tex] a perfect square?

Answers

Answer:

It is a perfect square. Explanation below.

Explanation:

Perfect squares are of the form

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

. In polynomials of x, the a-term is always x.(

(

x

+

c

)

2

=

x

2

+

2

c

x

+

c

2

)

x

2

+

8

x

+

16

is the given trinomial. Notice that the first term and the constant are both perfect squares:

x

2

is the square of x and 16 is the square of 4.

So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,

8

x

is of the form

2

c

x

.

The middle term is twice the constant times x, so it is

2

×

4

×

x

=

8

x

.

Okay, we found out that the trinomial is of the form

(

x

+

c

)

2

, where

x

=

x

and

c

=

4

.

Let us rewrite it as

x

2

+

8

x

+

16

=

(

x

+

4

)

2

. Now we can say it is a perfect square, as it is the square of

(

x

+

4

)

.

Herbert is decorating the bulletin board at school.The bulletin board is 7 ft by 11 ft.He decides to add a black border.What is the length of the border needed?

Answers

Answer:

36 feets

Step-by-step explanation:

The dimension of bulletin board = 7 feets by 11 feets

Bulletin boards are shaped as a rectangle :

To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa

However, total Lenght of black border :

(11 * 2) + (7 * 2)

22 + 14

= 36 feets

what is the value of a + b(4c + 2a)?

Answers

Answer:

Step-by-step explanation:

You can't find an exact value, but you can find an simpler expression by using the distributive property.

a + 4bc + 2ab

And that is as much as it can be reduced.

Jim rides the bus to and from school each day. A one-way trip is 8.12 kilometers. How many kilometers does he travel in 3 days?

Answers

Answer:

48.72 km in 3 days.

Step-by-step explanation:

Given that,

A one-way trip is 8.12 kilometers.

We need to find the distance he travel in 3 days.

The distance traveled by Jim in one day to the bus and from school = 2(8.12) =  16.24 km

Distance traveled in 3 days = 3(16.24)

= 48.72 km

Hence, he will cover 48.72 km in 3 days.

Plz help due tomorrow

Answers

Answer:

A) x is greater than or equal to 4.50

Step-by-step explanation:

the price has to be at least 4.50 so it could be 4.50 or it could be greater than 4.50. Hope this helped.

Determine the slope and the y-intercept: y = 3x - 1

Answers

Answer:

Slope is 3

y - intercept is -1

Answer:

slope = 3, y- intercept is - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3 and y- intercept c = - 1

Find the area of the regular octagon.

Answers

Answer:

3*4

=12 sq. cm

= 12 cm²

Answer:

48cm^{2}

Step-by-step explanation:

[tex]A=4ah=4*4*3=48 cm^{2}[/tex]

Write the coefficients of:
xin 3xy + 8y - Oy
(11) 5 in 61-57'n + 8p
(ii) z'in 3xy +42-64
(iv) yz in 3x - 5yx​

Answers

Step-by-step explanation:

Here x coefficients are 3y + 8y - OyHere 5 coefficients are 61-7'n + 8pHere z coefficients are 0Here yz coefficients are 0

what is not a composite number out of 2 4 6 8

Answers

Answer:

2

Step-by-step explanation:

2 has the factors 2 and 1 while the others have:

4- 4, 2,1

6- 6, 3, 2, 1

8- 8, 4, 2, 1

8 students in Mr. Webb's class got an A on the exit ticket. There are 25
students in his class total. What percent of students got an A?*

Answers

Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

Christina earned $510 working part-time at the movie theater. Of her paycheck, 1/ 4 pays for car insurance, 1/ 3 for gas, and 20% for miscellaneous expenses. The remaining amount of her paycheck is divided equally for entertainment and savings. How much does Christina spend each month on entertainment?

Answers

Answer:

$55.15

Step-by-step explanation:

1/4 of 510 = 127.5

1/3 of 510 = 170

20% of 510 = 102

510-(127.7+102+170)=510-399.7=110.3

110.3/2=55.15

hope this helps

I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.

Answers

Answer:

option 1 i think

Step-by-step explanation:

imma just take these 5 points back

please help explain how u got the answer marking brainlist giving all my points 200 points

Answers

Answer:

v = -35

Step-by-step explanation:

-4 -31= -35 which leaves V. so v=-35

Answer:

I think that  the is -27

Step-by-step explanation: 32 - (-27) = -4

what is the formula of volume

Answers

Answer:

length × width × height.

Step-by-step explanation:

Answer:

length × width × height

Step-by-step explanation:

That is the standard formula for a rectangular shape

How would I solve this?

Answers

Answer:

2.74747741945462

Step-by-step explanation:

i know its long but i think it is correct!:)

Three rabbits can eat five carrots in four minutes. How long does it take four rabbits to eat 15 carrots?

Answers

Answer:

12

Step-by-step explanation:

15/5=3

3x4=12

SMART PEOPLE PLEASE TAKE THE TIME TO ANSWER THIS!!!!!!!!!

Answers

Answer:

40% ⋅ x = 35

x = 87.5

Step-by-step explanation:

To write an equation representing this situation, use the key words. 40% stays 40%. "Of" is the same as multiplication. "X" remains "x". "Is" is the same as equal to. 35 remains 35. So, the new equation you get is: 40% ⋅ x = 35.

To solve for "x", first turn the 40% into a decimal: 0.4. Now divide 0.4 from both sides to get: x = 87.5.

Note:

The dot "⋅", stands for the multiplication sign. I'm not using the "x" symbol for it because there is a variable x in the equation already.

Hope it helps!

Which graph represents a proportional relationship? (quickly please :)​

Answers

Answer:

the first one

Step-by-step explanation:

a proportional graph has to go through the origin (0,0) and the first one is the only one that does

A bricklayer lays 1200 bricks in an average 8-hour day. How many bricks does he lay in a 40-hour week?

Answers

The answer is 6000 bricks.
40/8=5
5*1200=6000

The number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.

Let the number of bricks that the bricklayer can lay in a 40-hour week be represented by x.

Based on the information given in the question, the equation to solve the question will be:

8/40 = 1200/x

Cross multiply

8 × x = 1200 × 40

x = (1200 × 40) / 8

x = 1200 × 5

x = 6000

Therefore, the number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.

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