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
Vlad [161]
3 years ago
12

a circular dog pen has a circumference of 78.5 feet. approximate by 3.14 and estimate how many hunting dogs could be safely kept

in the pen if each dog needs at least 60 square feet of room
Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

  8

Step-by-step explanation:

To solve this problem, we need to find the area of the pen, then divide that by the area required by each dog.

__

The relationship between circumference and radius is ...

  C = 2πr

Solving for r gives ...

  r = C/(2π)

The relationship between radius and area of a circle is ...

  A = πr²

Substituting for r from above gives ...

  A = π(C/(2π))² = C²/(4π)

Filling in the given numbers, we find the area of the pen to be ...

  A = (78.5 ft)²/(4·3.14) = 490.625 ft²

__

Dividing the pen area by the area per dog gives the number of dogs the pen can hold:

  (490.625 ft²)/(60 ft²/dog) ≈ 8.18 dogs

The pen can safely keep 8 dogs.

You might be interested in
The ratio of boys to girls is 3:4 and the ratio of girls to adults is 5:7 what is the ratio of children to adults
Ilya [14]

Answer:

the ratio is 12:7 but im not 100% sure

6 0
3 years ago
Lee associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years.
erma4kov [3.2K]
If your choices are the following:
A.<span> $1,350
B. $1,536
</span>C.<span> $1,653
</span>D.<span> $5,163
</span>E.<span> None of these
</span>
Then the answer is B. $1,536.

Solution:
<span>$60,000 x .0256
</span>=<span>1,536</span>
7 0
3 years ago
???????anyone know...
RUDIKE [14]
The answer is:  " 60° " .
__________________________________________________________
     " m∠A = 60° " .
__________________________________________________________
Explanation:
__________________________________________________________

Note:  All triangles, by definition, have 3 (three) sides and 3 (three angles).

The triangle shown (in the "image attached") has three EQUAL side lengths.   Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.

All triangles by, definition, have 3 (three) angles that add up to "180° " .

Since each of the 3 (three) angles is equal;  and the three angles are:  

  "∠A" , "∠B" , and "∠C" ;

We can find the measure of "∠A" ; denoted as:  "m∠A" ; as follows:
______________________________________________________
    m∠A  = 180° ÷ 3 = 60° .
______________________________________________________
The answer is:  " 60° " .
______________________________________________________
   m∠A = " 60° " .
______________________________________________________
7 0
3 years ago
Whoever guesses my middle name right I'll give a brainest. hint: it's really basic ​
elena-14-01-66 [18.8K]

Answer:

Emma

Olivia

Ava

Rose

Isabella

Sophia

Charlotte

Mia

Amelia

Harper

Evelyn

Abigail

Emily

Elizabeth

Mila

Ella

Avery

Sofia

Camila

Aria

Scarlett

Victoria

Madison

Luna

Grace

Chloe

Penelope

Layla

Riley

Zoey

Nora

Lily

Eleanor

Hannah

Lillian

Addison

Aubrey

Ellie

Stella

Natalie

Zoe

Leah

Hazel

Violet

Aurora

Savannah

Audrey

Brooklyn

Bella

Claire

any?

3 0
3 years ago
Gabriel ran for 1 mile. Then he started jogging. He jogged for 250 feet. How many total feet did he run and jog?
Marizza181 [45]
1 mile is 5280 feet so when adding both 5,280 and 250 feet you get 5,530.
8 0
3 years ago
Other questions:
  • Help anyone please I’m timed
    6·1 answer
  • PLEASE HELP ASAP don’t have much time.
    14·1 answer
  • How do I prove this?
    10·1 answer
  • Brainliest for correct answer
    10·1 answer
  • What is the decay factor in the exponential decay function y=a (1-r) t
    7·1 answer
  • Plants are sold in three different sizes of tray. A small tray of 30 plants costs £6.50. A medium tray of 40 plants costs £8.95.
    5·1 answer
  • Write the equation for a parabola with the focus at
    14·2 answers
  • How many times greater is the value of the 2 in 27,806 than the value of the 2 in 32,305?
    8·2 answers
  • Find the possible values of the constant k if the roots of the quadratic equation
    7·1 answer
  • Jacki is playing a game. Her pieces end up on the circular game board. When playing the game, her score is the sum of all pieces
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!