1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MAVERICK [17]
3 years ago
5

You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo

u need to make the pen?
Mathematics
1 answer:
Lelu [443]3 years ago
8 0
Circular pen means you are going to use Area = Pi(r^2). 

So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use \sqrt{ \frac{78.5}{ \pi } } for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer. 
You might be interested in
How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12
dedylja [7]

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

4 0
3 years ago
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
6th grade math I mark as brainliest
guajiro [1.7K]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Find the distance of the line segment joining the two points (5, 4) and (−2, 1)
Scilla [17]
Distance formula... but the answer is square root of 58 units with is approximately 7.61577
3 0
3 years ago
Find the average rate of horizontal change of the ball the 1.6 sec.
djverab [1.8K]

a)

the average speed, well it does 10 ft in 1.6 secs, so is simply their quotient, 10/1.6 = 6.25 ft/s on average.


b)

over the horizontal, well, it covered horizontally 9.25 ft in those 1.6 secs, so their quotient is 9.25/1.6 = 5.78125 ft/s on average.


c)

we don't know the vertical distance, but


\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b&#10;\qquad&#10;\begin{cases}&#10;c=\stackrel{10}{hypotenuse}\\&#10;a=\stackrel{9.25}{adjacent}\\&#10;b=opposite\\&#10;\end{cases}&#10;\\\\\\&#10;\sqrt{10^2-9.25^2}=b\implies \sqrt{14.4375}=b\implies 3.8\approx b


so, it covered vertically about 3.8 ft in those 1.6 secs, so then 3.8/1.6 = 2.375 ft/s on average

7 0
3 years ago
Read 2 more answers
Other questions:
  • Pam is a wedding planner She is setting up a room to seat at least 100 guests. She has some tables that seat 10 people and some
    10·1 answer
  • Isabel's dog gets 55.4 grams of protein in each meal. How much protein does the dog get in 8 meals? Please help
    6·1 answer
  • for homework create your own inequality below that represents a real word situation.solve your problem in to two ways , one corr
    6·1 answer
  • What property is illustrated by this statements if a b and b = C, then a = c?​
    6·2 answers
  • Ax=b(c+x) make x the subject of the formula
    6·1 answer
  • Cole biked at 5 mph for 1 1/2 hours. Which of the following choices show how far he biked?
    7·2 answers
  • NOO THESE PEOPLE TOOK AWAY ALL MY POINTS!!!! I USED TO HAVE LIKE 3000 AND IVE BEEN USING BRAINLY FOR LIKE 10 HOURS AND THEY TOOK
    15·2 answers
  • Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor
    12·2 answers
  • 13 - 4x = 1 - x<br><br>Step by step please​
    12·2 answers
  • The formula for the surface area, S, of a rectangular prism is shown below. Solve the formula for the width w.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!