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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.

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At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number
yKpoI14uk [10]

Answer:

<em>Hot dog sold = 33</em>

<em>Sodas Sold = 72</em>

Step-by-step explanation:

<u><em>Given:</em></u>

<em>At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold</em>

<u><em>To Find:</em></u>

<em>Number of soda/hot dog sold</em>

<u><em>Solve:</em></u>

<em>h + ( 39 + h ) = 105</em>

<em>h + 39 + h = 105</em>

<em>2h + 39  = 105</em>

<em>h + 19.5 = 52.5</em>

<em>h = 52.5 - 19.5 </em>

<em>This as a system does not use any inequality. "39 more than" means, +39.</em>

<em>h = 33    meaning    d= 72</em>

<em />

<em>Add to check Answer:</em>

<em>33 + 72 = 105</em>

<em>Thus,</em>

<em>Hot dog sold = 33</em>

<em>Sodas Sold = 72</em>

<em />

<u><em>Kavinsky </em></u>

3 0
1 year ago
Helloooo please give the right answer :)
Crazy boy [7]

Answer:

9 feet

Step-by-step explanation:

3X3=9 feet therefore 3 yards is equal to 9 feet

5 0
2 years ago
What is a triangle with three acute anglwa called
Roman55 [17]

It can be called an acute triangle, an isosceles triangle, or equiangular triangle (equilateral triangle)

7 0
3 years ago
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Is it linear or non linear?
Keith_Richards [23]
Linear is correct credit to the person above
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To show what he learned about the properties of volume for solids, liquids and gases, Viktor wrote the following summary.
Brrunno [24]

The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box

The matter has three main states which are

  • Solid
  • Liquid
  • Gas

These states define the way we interact and manipulate materials. For instance:

  • Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
  • Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
  • Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.

According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.

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