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natima [27]
2 years ago
11

A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for t

his garden
Mathematics
1 answer:
Blababa [14]2 years ago
7 0
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches

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21. 6m – 2n+ 7<br> Terms:<br> Coefficients:<br> Constants:
harkovskaia [24]

Answer:

Terms: 6m , -2n, 7

Coefficients: 6, -2

Constants: 7

Step-by-step explanation:

terms are the parts of the expression so 6m, -2n and 7

coefficients are the numbers in fron tof variables so 6 and -2

constants are terms without variables so 7

7 0
3 years ago
Deon is riding his bicycle. He rides for 7 hours at a speed of 22.4 kilometers per hour. For how many kilometers does he ride
salantis [7]
By hypothesis, Deon is riding at a speed of 22.4 kilometers per hour. So each hour, he completes 22.4 km.

If he rides for 7 hours, he completes 22.4 * 7 = 156.8 km

So in 7 hours, he rides 156.8 kilometers.

Hope this helps! :)
6 0
3 years ago
PLEASE HELP ME PLEASE!!
Harman [31]
  1. Answer:

hypotenuse (h)=?

perpendicular (p)=3

base(b)=2

using pythagoras theorem

h²=p²+b²

h²=3²+2²

h²=9+4

h²=13

h=√13

  • hypotenuse (h)=12
  • perpendicular (p)=10
  • base(b)=?

using pythagoras theorem

b²=h²-p²

b²=12²-10²

b²=144-100

b=√44

b=2√11

6 0
2 years ago
In 1980, the average monthly rate for basic able TV in the United States was
poizon [28]

The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.

Step-by-step explanation:

Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.

Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)

Period between the values =Final year - initial year = 2008 - 1980 = 28 years.

Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.

Rate of change per year = Difference in values in that period/ no of years.

                                          = -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)

So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.

6 0
3 years ago
Derrick lives 3 miles from the park. He rode his bicycle to the park at an average speed of 9 miles per hour. How many minutes d
a_sh-v [17]
27 minutes to the park
3 0
2 years ago
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