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Tems11 [23]
3 years ago
5

Zach has an above-ground pool that has a radius of 5.5 feet. He wants to put a new wall liner around his pool and needs to know

the circumference of the pool. Find the circumference of the pool to the nearest hundredth.
Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer: 34.54feet

Step-by-step explanation:

Thw circumference of the pool will be calculated by using the formula:

= 2πr

where

π = 3.14

r = 5.5

Therefore, circumference = 2πr

= 2 × 3.14 × 5.5

= 34.54feet

Therefore, the circumference of the pool to the nearest hundredth is 34.54feet.

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Evaluate each expression for the given values of the variable: 8z + 3;z = 8
vampirchik [111]

Answer:

67

Step-by-step explanation:

8z + 3

Let z =8

8*8+3

64+3

67

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3 years ago
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What is the least common multiple of 96 144 and 224
Gennadij [26K]
The least common multiple of 96, 144, and 224 is 2016.

Hope this helps! :D
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3 years ago
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Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
3 years ago
If you explain and answer i will give brainly
CaHeK987 [17]

6x - 5y = 3          x1

3x - 8y = -15    x2

===============

6x - 5y = 3

6x - 16y = -30

============= -

11y = 33

y = 3

6x - 5(3) = 3

6x -15 = 3

6x = 18

x = 3

(3,3)

7 0
2 years ago
Change the following mixed number to an improper fraction. Reduce if possible.<br><br> 7 81/1000
pogonyaev

The answer is 7081/1000

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2 years ago
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