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Eddi Din [679]
3 years ago
14

Sally plans to enclose a square garden with fencing. The area of the garden is 1600 square feet. How many feet of fencing does s

he need to enclose the garden?
A. 160 feet
B. 40 feet
C. 800 feet
D. 320 feet​
Mathematics
2 answers:
Llana [10]3 years ago
4 0

Answer:

160 ft

Step-by-step explanation:

the length of one side would be √1600 which is 40 so 40• 4 is 160

olasank [31]3 years ago
3 0
160 feet. Took the test got it right
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Please help!!<br><br> The solution of the equation is x = ?<br> .
LUCKY_DIMON [66]

Answer:

as below

Step-by-step explanation:

\frac{2}{7} = \frac{6x}{4x + 17}

2(4x + 17) = 7(6x)

8x +34 = 42x

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How do you find the volume of the solid generated by revolving the region bounded by the graphs
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Answer:

About the x axis

V = 4\pi[ \frac{x^5}{5}] \Big|_0^2 =4\pi *\frac{32}{5}= \frac{128 \pi}{5}

About the y axis

V = \pi [4y -y^2 +\frac{y^3}{12}] \Big|_0^8 =\pi *\frac{32}{3}= \frac{32 \pi}{3}

About the line y=8

V = \pi [64x -\frac{32}{3}x^3 +\frac{4}{5}x^5] \Big|_0^2 =\pi *(128-\frac{256}{3} +\frac{128}{5})= \frac{1024 \pi}{5}

About the line x=2

V = \frac{\pi}{2} [\frac{y^2}{2}] \Big|_0^8 =\frac{\pi}{4} *(64)= 16\pi

Step-by-step explanation:

For this case we have the following functions:

y = 2x^2 , y=0, X=2

About the x axis

Our zone of interest is on the figure attached, we see that the limit son x are from 0 to 2 and on  y from 0 to 8.

We can find the area like this:

A = \pi r^2 = \pi (2x^2)^2 = 4 \pi x^4

And we can find the volume with this formula:

V = \int_{a}^b A(x) dx

V= 4\pi \int_{0}^2 x^4 dx

V = 4\pi [\frac{x^5}{5}] \Big|_0^2 =4\pi *\frac{32}{5}= \frac{128 \pi}{5}

About the y axis

For this case we need to find the function in terms of x like this:

x^2 = \frac{y}{2}

x = \pm \sqrt{\frac{y}{2}} but on this case we are just interested on the + part x=\sqrt{\frac{y}{2}} as we can see on the second figure attached.

We can find the area like this:

A = \pi r^2 = \pi (2-\sqrt{\frac{y}{2}})^2 = \pi (4 -2y +\frac{y^2}{4})

And we can find the volume with this formula:

V = \int_{a}^b A(y) dy

V= \pi \int_{0}^8 2-2y +\frac{y^2}{4} dy

V = \pi [4y -y^2 +\frac{y^3}{12}] \Big|_0^8 =\pi *\frac{32}{3}= \frac{32 \pi}{3}

About the line y=8

The figure 3 attached show the radius. We can find the area like this:

A = \pi r^2 = \pi (8-2x^2)^2 = \pi (64 -32x^2 +4x^4)

And we can find the volume with this formula:

V = \int_{a}^b A(x) dx

V= \pi \int_{0}^2 64-32x^2 +4x^4 dx

V = \pi [64x -\frac{32}{3}x^3 +\frac{4}{5}x^5] \Big|_0^2 =\pi *(128-\frac{256}{3} +\frac{128}{5})= \frac{1024 \pi}{5}

About the line x=2

The figure 4 attached show the radius. We can find the area like this:

A = \pi r^2 = \pi (\sqrt{\frac{y}{2}})^2 = \pi\frac{y}{2}

And we can find the volume with this formula:

V = \int_{a}^b A(y) dy

V= \frac{\pi}{2} \int_{0}^8 y dy

V = \frac{\pi}{2} [\frac{y^2}{2}] \Big|_0^8 =\frac{\pi}{4} *(64)= 16\pi

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Natali5045456 [20]

Answer:

In order to simplify improper fractions

1. Multiply the denominator and the whole number.

2. Add the numerator to the product.

3. Keep the denominator the same.

4. Easily simplify your solution

Step-by-step explanation:

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Mark me as brainliest!!

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Answer/Step-by-step explanation:

Ok so there is

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The 3rd one has to short of numbers for 0-4.

the second one has way to many 0-4's when there should be 3 of them.

therefore your answer is The firstone.

7 0
2 years ago
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