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Gnesinka [82]
3 years ago
14

A homeowner has 200 feet of fence to enclose an area for a pet.

Mathematics
1 answer:
marishachu [46]3 years ago
7 0
<h3>Answer:</h3>
  • (a) x = 50 maximizes the area. We assume that means 50 ft × 50 ft
  • (b) 2500 ft²
  • (c) domain: 0 ≤ x ≤ 100; range: 0 ≤ A ≤ 2500
<h3>Step-by-step explanation:</h3>

(a) The function describes a parabola that opens downward. The value of A(x) is zero when x=0 and when x=100. The vertex (maximum) is halfway between those zeros, at x=50. The dimensions are 50 and 100-50 = 50. The maximum area pen will be 50 ft square.

(b) A(50) = (50 ft)² = 2500 ft² . . . the maximum area

(c) A(x) will be negative if x < 0 or x > 100, so the domain is 0 ≤ x ≤ 100.

The value of A(x) ranges from 0 to its maximum, 2500. Hence the range is 0 ≤ A(x) ≤ 2500.

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Determine the surface area of the cylinder below.
Dahasolnce [82]

Answer:

<u>9π m²</u>

Step-by-step explanation:

We will need calculate the area of the top, the base and  sides.

Area of the top=πr²

Area of the base=πr²

Area of the side: 2πrh

Surface area of a cylinder: area of the top + area of the base +area of the side

Surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)

Data:

r=1.5 m

h=1.5 m

Surface area of this cylinder=2π(1.5m)(1.5 m+1.5 m)=3π m*(3 m)=9π m².

6 0
3 years ago
Please help me!!!<br>What is the value of n?<br>2n = 8 + 4n<br>A)-4<br>B) 4<br>C)-4/3<br>D)4/3
erica [24]
To get the value of n u have to set n by itself, first we have to set teh smallest n to teh other side this will give you 0=8+2n now subtract the 8 from both sides because it is positive and the only way to get rid of a positive is with a negative this will give you -8=2n, now to set n by itself divide by 2 in both sides because in order to get rid of a multiplication you have to divide, this will give you n=-4, so your answer will be letter A

Hope this helps

6 0
3 years ago
Which number is an irrational number? (1 point)
NemiM [27]

Answer: The answer is (B). 1.01257486...

Step-by-step explanation:  We are given four real numbers out of which we are to select the one which is irrational.

Option (A) is 0.12, in which the digits after the decimal are terminating. So, the number is rational.

Option (B) is 1.01257486..., the digits after the decimal are non-terminating and non-recurring. So, the number is irrational.

Option (C) is 0.1212121212..., in which the digits after the decimal are non-terminating and recurring. So, the number is rational.

Option (D) is 0.11111111..., in which the digits after the decimal are non-terminating and repeating. So, the number is rational.

Thus, (B) is the correct option.

8 0
3 years ago
For Problems 11-12, expand the expressions using the Distributive Property. Then simplify the expressions. 12. 9(3y-5) ​
Aleonysh [2.5K]

Answer:

27y-45

Step-by-step explanation:

9(3y-5)=27y-45

6 0
3 years ago
It cost Jayden $4.80 to send 96 text messages. How much would it cost to send 155 text messages?
TEA [102]
96 messages .... $4.80
155 messages .... x

x= (155x4.80):96=7.75
3 0
3 years ago
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