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astraxan [27]
3 years ago
14

In the coordinate plane, draw parallelogram ABCD with A(–5, 0), B(3, –4), C(7, 4), and D(–1, 8).Then demonstrate that ABCD is a

rectangle.
Mathematics
1 answer:
Marianna [84]3 years ago
7 0
I’m having trouble attaching the picture, but it’s physical properties are key to this question. The physical properties of parallelogram ABCD match that of what a quadrilateral or rectangle must be.
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Find the surface area (in terms of π) of a sphere if its volume is 972 π.
Sholpan [36]

Surface area of sphere is Surface\,\,Area=324\pi

Step-by-step explanation:

We need to find the surface area of the sphere while we are given volume of sphere = 972π

The formula used to find surface area is:

Surface\,\,Area=4\pi r^2

We need to find radius of sphere

We are given Volume = 972π, using this volume we can find radius of sphere

The formula used to find volume is:

Volume=\frac{4}{3}\pi  r^3

Putting values and finding r

972\pi =\frac{4}{3}\pi  r^3

r^3=\frac{972\pi *3}{4\pi } \\r^3=729

Taking cube root on both sides

\sqrt[3]{r^3}=\sqrt[3]{729}\\ r=9

So, Radius of sphere r=9

Now finding surface area:

Surface\,\,Area=4\pi r^2

Surface\,\,Area=4\pi (9)^2

Surface\,\,Area=4\pi 81

Surface\,\,Area=324\pi

So, surface area of sphere is Surface\,\,Area=324\pi

Keywords: Surface area of sphere

Learn more about Surface area of sphere at:

  • brainly.com/question/12613605
  • brainly.com/question/6443737
  • brainly.com/question/12041380

#leanwithBrainly

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3 years ago
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