A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?

Answers

Answer 1

Answer:

157 if youre going by 3.14

157.08 if youre going by π

Step-by-step explanation:

you want to find the circumference

circumference is 2πr

the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle

2 * 3.141 * 25 = 157

Answer 2

The length of the path that goes around the outside of the circle stands at 157.08 meters.

What is a circle?

A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.

Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.

Now, the perimeter of the circle exists the length of the path that goes around the outside.

Thus, the perimeter of the circle stands,

Perimeter = π × Diameter

        = π × 50 meters

        = 157.07963 meters ≈ 157.08 meters

Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.

To learn more about the circle

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Related Questions

15√6 cm
12/54 cm
6√24 cm

Answers

Answer:

Step-by-step explanation:

15√6

12√54 = 12√(9×6) = 36√6

6√24 = 6√(4×6) = 12√6

15√6 + 36√6 + 12√6 = 63√6

Please help i am begging

Answers

x is equal to 3 ..

Step-by-step explanation:

hope this helps

In a discount basis loan, interest is "pald" at the time the loan is made by deducting the Interest amount from the loan
amount.
“True
False”

Answers

Answer:

true

hope that helps

Step-by-step explanation:

20 POINTS PLS
How to tell if your data has a wide range or a small range?

Answers

Range is the amount difference from the minimum and the maximum amount of data . So which ever set has a bigger number had a wider range
Data set with the largest maximum value and smallest minimum value

(n-1 +7) simplify plssss helppp

Answers

Answer: n+6

-1 + 7 = 6

So therefore, the answer is n+6

Hope this helped

Answer:

[tex]\boxed{\sf{n+6}}[/tex]

Step-by-step explanation:

To solve this problem, first, you have to do is isolate it on one side of the equation.

(n-1+7)

First, remove parentheses.

→ n-1+7

Add the numbers from left to right.

→ -1+7=6

→ n+6

Therefore, the final answer is n+6.

I hope this helps you! Let me know if my answer is wrong or not.

how many 10 Kobo stamps can I buy with 40 naira​

Answers

Answer:

What is a kobo stemp

Step-by-step explanation:

What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answers

Step-by-step explanation:

the typical line equation :

y = ax + b

with "a" being the slope, and b being the y-intercept (the y value when x = 0).

so, the equation starts

y = 1/2 x + b

to get b we use the given point coordinates :

1 = 1/2 × 4 + b = 2 + b

-1 = b

and the whole equation is

y = 1/2 x - 1

If y - 18 = 14, what is the value of 3(y + 5)?

Answers

Answer:

y-18=14

add 18 on both sides

y=32

plug that into the equation below

3(Y+5)

3(32+5)

add 32 and 5

3(37)

multiply

3

....

3 x 37 = 111

Find the area of the figure below. Show all work for each step. Work should inc
radical. Take your time and be thorough. Include units in final answer.
(-5√2+5√5) ft
(3√2 + 4√5) ft

Answers

Answer:

[tex]5\sqrt{10} +70[/tex] ft

Step-by-step explanation:

AREA = LENGTH x WIDTH

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

[tex]-15(2)-20\sqrt{10} +15\sqrt{10} +20(5)[/tex]

[tex]-30-5\sqrt{10} +100[/tex]

[tex]5\sqrt{10} +70[/tex]

Important things to keep in mind:

[tex]\sqrt{2} (\sqrt{2} )=2(2)=4[/tex]    Radical goes away (same #)[tex]\sqrt{2} (\sqrt{5})=\sqrt{10}[/tex]          

Solve the system by graphing.
What is the solution of y=-x+4 and y=3/5x+4

Answers

Answer:

x=0 and y=4 thats where the points meet

Step-by-step explanation:

solution of x and y:

both equations equal to y so you can put them together

3/5x+4=-x+4

separate the variables and numbers...

1.6x=0

x=0

y=4

if ur using a graph, use the y intercept (0,4) for your first point

then, using y=-x+4, make -x a fraction -1/1

by using rise/run go down one unit from (0,4) since its negative 1

then one unit to the right from where you are

you should be able to connect the points for the first equation

find the second equation on your own now:)

how many right angles in this shape the shape is a trapezoid

Answers

Answer:

Two

Step-by-step explanation:

Since two of the angles are 90 degrees, they are right angles.

Answer: There are 2 right anges in a trapizoid

Step-by-step explanation:

1 is on the bottom lieft side 2nd one is on the other is on the bottom right side

66 is 8-% of what number?
4

Answers

The number is 825
66*100/8=825

pls help fast!!! will give brainliest!!!!!!

Answers

Answer:

A. About 47.5π

B. About 149.1

Tammy took a total of 14 quizzes over the course of 7 weeks. ​ ​How many weeks of school will Tammy have to attend this quarter before she will have taken a total of 18 quizzes? ​ ​Solve using unit rates. ​Answer: weeks.

Answers

Answer:

9 weeks

Step-by-step explanation:

So he basically took 14 quizzes in 7 weeks.

14/7 = 2/quizzes per week

18/2 = 9 weeks

I don't know what you mean by unit rates but this is what I got.

Which is the best example of an out-of-pocket cost?
A. A claim
B. A benefit
C. A deductible
D. A repair estimate​

Answers

A best example of an out-of-pocket cost is: C. A deductible.

What is an Out-of-Pocket Cost?

An out-of-pocket cost can be described as a cost you pay from your own personal reserve, which may include coinsurance, deductibles, copays, and some services covered by an individual's health plan.

Out-of-pocket cost may be reimbursed.

Thus, a best example of an out-of-pocket cost is: C. A deductible.

Learn more about out-of-pocket cost on:

https://brainly.com/question/26217317

Answer: C. A deductible

Step-by-step explanation:

What type of association is seen in the scatter plot.

Answers

Answer:

Girl how do you not know this is the most easiest thing /hj

Step-by-step explanation:

its a linear and strong association bc the dots are very refined and stuck together very well

Help Asap

One tube of paint covers 1,400 square inches of ramp. Based on this, how many tubes of paint will be needed to paint the ramp

My answer from the answer above is 3,672 sq in.​

Answers

Answer:

  3

Step-by-step explanation:

The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.

Let t represent the number of tubes.

  1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²

  t > 2.623 . . . . . divide by 1400

If only whole numbers of tubes are available, then ...

  3 tubes are needed to paint the ramp.

Answer:

Step-by-step explanation:

 The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.

Let t represent the number of tubes.

 1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²

 t > 2.623 . . . . . divide by 1400

If only whole numbers of tubes a

$8400 is deposited at an APR of 5%. How much interest has been accrued after 6 years ?

Answers

Answer:

  $2,856.80

Step-by-step explanation:

The formula for the balance of an account earning interest compounded annually is ...

  A = P(1 +r)^t . . . . where P is the principal invested at annual rate r for t years

__

Using the given values, we find the account balance to be ...

  A = $8400(1 +0.05)^6 ≈ $11,256.80

The excess over the initial investment is the interest earned:

  $11,256.80 -8,400 = $2,856.80

The account has accrued $2,856.80 in interest after 6 years.

_____

Additional comment

If the account earns simple interest, it is computed using ...

  I = Prt = $8400(0.05)(6) = $2,520

Rylee read 36 pages of a book before putting
it down for a month. She wants to resume
reading the book that is more than 480 pages
long. She plans on finishing the book in
12 days, reading the same amount each day.
5. Which inequality can be used to determine,
p, the number of pages that Rylee must read
P
each day to attain her goal?
A. 12p - 36 < 480
B. 12p + 36 < 480
C. 12p - 36 > 480
D. 12p + 36 > 480
-

Answers

Answer:

  D. 12p + 36 > 480

Step-by-step explanation:

The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.

__

The inequality expressing a sum greater than 480 is ...

  12p +36 > 480 . . . . choice D

16. Lena always keeps her bank account
balance above $50, If she spent $11.60 on
lunch, what was her balance before buying
lunch?
PLEASE HELP

Answers

Step-by-step explanation:

so you add the $50 to $11.60 to get your answer

the answer is 38.4 because you have to subtract 50 and 11.60 and you get 38.4

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?

Answers

Answer:

yes the boy can get 80 small action figures

Answer:

Yes

Step-by-step explanation:

Given

380 tickets in possession5 tickets → large action fig.7 tickets → 2 small action fig.Boy wants 4 times small action fig. as large action fig.

Solving

We need to find if he can get 80 small fig.S = 805L + 7(2S) = 3805L + 280 = 3805L = 100L = 20Now, our condition was that : [number of small fig. = 4 x number of large fig.]80 (small) = 4 x 20 (large) [∴ verified]⇒ He can get 80 small action figures

Find the area of the figure.
(Sides meet at right angles.)

Answers

Answer:

16

Step-by-step explanation:

A of rectangle = L x W

= 3 x 4

= 12

A of square = L x W

= 2 x 2

= 4

The result is 16 squared

Determine the correct answer to the following
system of equations:
=
3x – y = 2
-2x + 4y = -8

Answers

Answer:

(0,-2)

Step-by-step explanation:

one way to solve...

3x - y = 2 --> *4

-2x + 4y = -8

multiply the first equation by 4

12x - 4y = 8

-2x + 4y = -8

-----------------

10x = 0

x = 0

y = -2

this method is called elimination

another way to solve...

3x - y = 2 simplify for y to get y = 3x - 2

-2x + 4y = -8 substitute y into this equation to solve for x

-2x + 4(3x - 2) = -8

-2x + 12x - 8 = -8

10x = 0

x = 0

y = -2

substitution

alsoo if there are options, just plug in the numbers to the correct variables

Answer:

3xy=2 2x4y=8

3x2=6x8=48x8

18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}

Answers

Answer:

using quadratic formula check the attachment

A copy machine prints 10 copies per minute.
At what rate, in copies per minute, does the copy machine print?
Enter your answer in the space provided.

Answers

The rate in copies per minute the copy machine print is 10 copies per minutes.

What is rate?

Rate is the ratio between two related quantities in different units.

In other word rate is a quotient of two measurements with different units.

In our case we were asked to find the rate at which the machine prints per minutes.

The two related quantities are amount printed and the time in minutes.

Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.

learn more on rate here: https://brainly.com/question/14199541

I will give Brainliest! :<

This meal costs $75.00.

Fatima used a 20% off coupon and then tax was added.

The total after the coupon and tax was $75.00.


What was the tax rate?

Submit and EXPLAIN, please!

Answers

Answer:

25 %

Step-by-step explanation:

75 - 20% = 60

60 + 60 (x) = 75      where x = tax rate  

   x = .25   or 25 %

The answer is 25%
Ik this cause I took the test

(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)

Answers

(a) Let θ be the angle between i + j and i - j. Then
(i + j) • (i - j) = ||i + j|| ||i -j|| cos(θ)
We also recall that for any vector x,
||x||² = x • x
We have
(i + j) • (i - j) = (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= ||i||² + (i • j) - (i • j) - ||j||²
= 1 + 0 - 1
= 0
and
||i + j|| = √(1² + 1²) = √2
||i - j|| = √(1² + (-1)²) = √2
So,
0 = 2 cos(θ)
cos(θ) = 0
θ = arccos(0) = 180°

(b) By the same process, we find
(2i + 5j) • 4i = 8
||2i + 5j|| = √(2² + 5²) = √29
||4i|| = 4
Then if θ is the angle between 2i + 5j and 4i, we have
8 = 4√29 cos(θ)
cos(θ) = 2/√29
θ = arccos(2/√29) ≈ 68.1986°

(c) Compute the magnitudes:
||A|| = √(14² + 2²) = √200 = 10√2
||B|| = √(2² + (-6)²) = √40 = 2√10
Now we can write
||B|| = 2√10 = 2 √(5 × 2) = 2√5 × √2 = 1/√5 × 10 √2 = 1/√5 ||A||
or
||A|| = √5 ||B||
so that k = 5.

How many symmetrical sides does a star have?​

Answers

Answer:

Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star

the temperature on wednesday was "-17" degrees. From Tuesday to Wednesday it got 24 degrees colder. What was the temperature on Tuesday?

Answers

Answer:

-41 degrees

Step-by-step explanation:

Since we're getting colder you would subtract 24 from the current -17 degrees.
-17-24 = -41

Find the product of
21/3 and 3/4.

Answers

Step-by-step explanation:

[tex] 2 \frac{1}{3} \times \frac{3}{4} \\

[/tex]2 1/3 = 7/3

[tex] \frac{7}{3} \times \frac{3}{4} \\ [/tex]

21/12 = 7/4

The answer is 7\14 :)
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