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WARRIOR [948]
2 years ago
11

a horticulturalist is building a fence around a rectangular garden using the side of a building for one side of the enclosure. s

he has 81 feet of fencing. what should the dimensions of the enclosre be so that she can maxmize the gardens area?
Mathematics
1 answer:
Harman [31]2 years ago
5 0
The garden area is maximum when the enclosure is a square.
If a is the length of the side of the square then the length of the building is also a.
The perimeter length is 4a made up of 81+a feet, so 81+a=4a and 3a=81 making a=27 feet.
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Two pumps connected in parallel fail indepen- dently of each other on any given day. The proba- bility that only the older pump
lions [1.4K]

Answer: 0.145

Step-by-step explanation:

Since,

the Probability of the older pump failing P(fail older) = 0.10

The probability of the newer pump failing P(fail newer) = 0.05

Therefore,

The Probability of the older pump not failing P(not fail older) = 1 - 0.1

P(not fail older) = 0.9

Also,

The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95

The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95

P(not fail system)= 0.855

Therefore,

The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145

The probability that the pumping system will fail one day is 0.145

3 0
3 years ago
Charlie's weight is nine kilograms greater than his brother's. Together they weigh 99 kilograms. Let x represent the weight of t
siniylev [52]


If the weight of the little brother is x, then the weight of  Charles is x + 9

The equation that can be used to determine what each one weighs is:

x + (x + 9) = 99.

Let us now solve it.

x + x +9 = 99

2x + 9 = 99

2x = 99 - 9

2x = 90

x = 90/2

x = 45

Little brother's  weight is 45 kg.

Charles'   weight  will be 45 + 9 =  54 kg

Adding these two weights will give 99kg

 

4 0
3 years ago
Read 2 more answers
Need help with number 2
salantis [7]
HHUBUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUHUUHUHUHUHUHUHUHU
7 0
3 years ago
What is the graph of this equation ​
OverLord2011 [107]

Answer:

Look at attached image

Step-by-step explanation:

8 0
3 years ago
I don’t understand these 3 questions and I need help.
rjkz [21]
Not sure about the first one but the second one is option c (or -3). You just have to factor and find the solutions (so it would be -7 and 4 and then u just add them)

For question 39 the answer is c
6 0
3 years ago
Read 2 more answers
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