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kozerog [31]
3 years ago
14

A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three sides is to be made of material t

hat costs 3 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct
Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer: a rectangle is a quadrilateral having opposing sides parallel and four right angles

Area of rectangle = length * width

Step-by-step explanation: Given Area of rectangle = 220 square foot

1 side of the fence = 220/4 = 55 feet

If 3 sides of the fence cost $3

Total cost for 3 sides of the fence = ( 55 + 55 + 55) * 3 = 165 * 3 = $495

Total cos for the 4th side = 55 * 13 = $715

It is more economical to construct the fence with materials that cost $3.

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Express 80 inches in standard notation using feet and inches.
Vladimir79 [104]

80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

The solution to the given problem is to use some standard conversion units that are:

  • 1 foot = 12 inches
  • 1 inch = 0.8333 feet

Solution:

As mentioned above that one inch is equal to 0.8333 foot therefore

1 foot = 12 inches

then,

80 inches would be equal to

= \frac{80}{12} ft

= \frac{20}{3} ft

= 6ft 8 inches

= 6' 8"

Thus, 80 inches in standard notation using feet and inches would be expressed as 6 ft 8 inches by converting inches into feet and inches.

Learn more:

brainly.com/question/884268

3 0
3 years ago
The rules of a contest say there is 8% chance of winning a prize. Seven hundred people enter the contest. Predict how many peopl
vesna_86 [32]

8%=0.08

0.08 times 700=56

56 people win a prize.

4 0
2 years ago
The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Use an expone
ehidna [41]

Answer:

The estimated Rabbit population by the year 2036 is 32,309 rabbits

Step-by-step explanation:

In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.

An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.

Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I

Mathematically, we have the decay function as;

P = I(1-r)^t

From the question, we identify these values as;

P = 144,000 : r = 7.2% =  7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years

Let's plug these values;

P = 144,000(1-0.072)^20

P = 144,000(0.928)^20

P=  32,309

5 0
3 years ago
PLEASE HELP ME AS SOON AS POSSIBLE!
mestny [16]

Answer:

2(c - 8) = 3

Hope this helps, thank you :) !!

4 0
2 years ago
Read 2 more answers
Tatenda takes t seconds to mow a square meter of lawn and Ciara takes c seconds to mow a square meter of lawn. Tatenda mows 700
bagirrra123 [75]

It is given to us that Tatenda takes t seconds to mow a square meter of lawn and Ciara takes c seconds to mow a square meter of lawn.

It is also given to us that Tatenda mows 700 square meters of lawn per week and Ciara mows 750 square meters of lawn per week.

Thus, if Tatenda mows 700 m^{2} in a week, then that means he took 700\times t seconds to complete the mowing.

Likewise, if Ciara mows 750 m^{2} in a week, then that means she took 700\times c seconds to complete the mowing.

7 0
2 years ago
Read 2 more answers
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