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

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2


Related Questions

Please Help!!!!!!!!!

Answers

Answer:

you either need to multiply or add im on that question

Step-by-step explanation:

Answer:

x = 115°

Step-by-step explanation:

Refer to attached picture

The small triangle on the top left has one angle 50° and the other two are same:

180° - x, as they for a straight angle with x

Sum of the angles in the triangle:

50° + 2(180° - x) = 180°50 + 180° - 2x = 02x = 230°x = 115°

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

PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST

Answers

500%
Steps are on paper

Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students said they liked to sleep in, how many students did Maria survey?

Answers

Answer:

6

Step-by-step explanation:

Is the absolute value of -29 less than 29?

Answers

Answer:

no

Step-by-step explanation:

The absolute value is EXACTLY 29, so.

1. Which of the following is equal to 10
A. (6-2)+3 B. (3+11) 4 C. 12-742 D. 6+5-2
2. Which of the following is NOT equal to 2?
A. 7+5-3 B. -84-941 C. 11-5-4 D. 55+2
3. If a=3, what is the value of a-5?
A.-5
B. -2
C, 2
D. 5
4. Which of the following equations is TRUE?
A (1+7)+3=20-9
C. 12-7-5+(7-6)
B. (6+9) 415-4-2
D. 4-5=3-(2+8)
5. Which of the following is equal to 22?
1. 14+15-5
il. (4)(5)+2
1. 54-24-8
iv. 16+5+10-9
A. i only B. li only C. i, ii, in only D. it, 1, iv only
6. What is the value of the algebraic expression x=3y-1? If y=-9
A.27
B. 28
C.-27
D. -28
7. If x=4, what is the value of the expression 5x+17
A 10
B. 21
C. 32
D. 55
8. Let y=10x-2, what is y when x=4?
A. X=3, y=4 B. X=-2, y=4 C. X=-3, y=2 D. X=4, y=-2
9. Which values of x and y will make the expression 4y-2x equal to -16?
A 10
B. 21
C. 32
D. 55
10. Which expression will snow the value 18 if x = 3?
A. 2x + 6 B. 12+
C. 8x4
D. 5x + 3​

Answers

Step-by-step explanation:

noneexcept c-2A1+7)+3=20-9il. (4)(5)+2D. -283738D. X=4, y=-2A. 2x + 6

Step-by-step explanation:

noneexcept c-2A (1+7)+3=20-9(4)(5)+2-283738

9) X=4, y=-2

10) 2x + 6

an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.

Answers

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

35 points!!! Help!! Make sure u answer all!!!

Answers

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

A car travels at an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 45 minutes?

Answers

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

Q) Mr. John went to a restaurant. The cost of a meal was $40.00. If the
sales tax is 9%, what is the total amount he paid for the meal?

Answers

4.44 because 40 divided by 9 is 4.44

Simplify the expression 9+(3x+4)

Answers

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?

Answers

Answer: 2 2/3 miles

Step-by-step explanation:

From the question, we are informed that three runners in a relay race share the 8-mile distance equally.

The number of miles that each runner travel will be the total miles divided by number of runners. This will be:

= 8/3

= 2 2/3 miles

ZA=
Round your answer to the nearest hundredth.
A
?
5
B
3

Answers

sin = opposite / hypotenuse

Let x be the value of ∠A.

sin x = 3/5

x = sin^-1 (3/5)

x = 36.90 (nearest hundredth)

How do I make the pain go away?

Answers

What-.....?Uhh u good?

Steps for -3(x+2)=4+2x

Answers

Answer:

x = -2

Step-by-step explanation:

-3(x + 2) = 4 + 2x

= -3x + -6 = 4 + 2x  (Distribution: -3)

= -3x + -2x - 6 = 4  (Moving the variables to the left and change the signs)

=  -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)

= -3x - 2x = + 6  --> (Collect like terms)

= -5x = 10 (Then add)

= (divide -5x = 10 by -5)

= x = 2

Please help

What is 2 2/3 - 4/5

Answers

Answer:

1 13/15 yards

Step-by-step explanation:

2*3 = 6

6+ 2 = 8

8/3 * 5 = 40/15

4/5 * 3 = 12/15

40-12 = 28

28/15 = 1 13/15

Answer:

[tex]1 \frac{13}{15}[/tex]

Step-by-step explanation:

We have two fractions and are being asked to subtract them.

Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.

[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]

[tex]\frac{40}{15} - \frac{12}{15}[/tex]

Now subtract :

[tex]\frac{28}{15}[/tex]

[tex]1\frac{13}{15}[/tex]

Plz help I’m timed!!!!

Answers

Answer:

(x, y) right-arrow (x minus 5, y minus 3)

Step-by-step explanation:

we know that

The translation of the pre-image STU to the image ST'U' is  3 units down and 5 units to the left

That means

3 units down -----> y-3

5 units to the left -----> x-5

therefore

The rule of the translation is

(x,y) -----> (x-5,y-3)

PLEASE HELP WILL GIVE BRAINLIEST!!!

Answers

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

In the figure, shown, AD, CE, and FB intersect at point F. Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

∡AB + ∡BC + ∡CD = 180°

∡CD = ∡AE

∡AB + ∡BC + ∡AE = 180°

(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°

8x + 6 + 6x + 2 + 7x + 4 = 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 8

What is m/3= -1.5 what is m???

Answers

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.

Answers

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

4x^2+4x^2-20x+12y-2=0 standard form​

Answers

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay

Answers

is there another part?

How do I solve this?

Answers

Answer:

sin (330)

csc (60)

cos (390)

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions

Solving quadratics equations by square root method

Answers

can you elaborate? are you
looking for an overall explanation or asking for a specific questions

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Ms. Ponse drove 200 miles in 4 hours. At that rate how long will it take Ms. Ponse to drive 340 miles?


PLEASE HELP FOR POSSIBLE BRAINLIEST!

Answers

Answer:

6.8 hours.

Step-by-step explanation:

200/4 = 50

340/50 = 6.8

What is the y-intercept? y = -1/3x + 4

Answers

it would be 4. in the equation y=mx+b, b is the y-intercept.

Answer:

4

Step-by-step explanation:

the y intercept is never with another variable, -1/3 would be the slope

plz help!!! i’ll mark brainliest!!!!

Answers

Step-by-step explanation:

go to rcboe.org sorry if it doesn't work

What is the length of segment AC?​

Answers

The y difference of the 2 lines are 6(you can just count these)

The x difference of the 2 lines are 8(again you can count this)

Now calculate distance using distance formula (the pythag theorem)

sqrt(6^2+8^2)=sqrt 100= 10

Therefore the distance of AC is 10.

Find the least common denominator for these fractions. Enter your answer in
the space provided.
1/2 and 3/5

Answers

Answer:

10

Step-by-step explanation:

2*5=10

Step-by-step explanation:

step 1. LCD of 1/2 and 3/5 is 10.

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