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Naddika [18.5K]
3 years ago
11

Determine the domain and range of:​

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

Domain and Range both All Real Numbers

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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

8 0
3 years ago
Marta is making a scale drawing of her apartment for a school project. The apartment is 28ft wide. On her drawing, the apartment
ivolga24 [154]

Answer:

<h2>The scale is 1 inch rep 4 feet or </h2><h2>1:4</h2>

Step-by-step explanation:

This problem is on ratios, the ratio of one quantity to another is a way to represent their relative size.

Moreso, the scale of a drawing tells us to what extent the drawing has been increased (maximized) or decresed (minimized)

now given that the actual dimention of the appartmentis 28ft wide

and on the drawing the apartment is 7 inches wide, we can see that the actual dimension has been reduced by a factor of 28/7= 4

hence the scale to represent this reduction is

1 inch to represent 4 feet

7 0
3 years ago
Cooper is grating cheese for his family taco dinner. He grates 1/2 of cheddar cheese and 3/4 cup of monterey jack cheese. How mu
sashaice [31]

Answer:

1 1/4 cup of cheese

Step-by-step explanation:

.5+.75

3 0
4 years ago
-2x - 4 = 2<br>need help
andreyandreev [35.5K]
First we must take the 4 to the other side: giving us -2x = 6.
Then we take the -2 to the other side:
X = 6/-2
X = -3
4 0
4 years ago
Read 2 more answers
C (5,4) and D (3,10) find the length
soldi70 [24.7K]
The distance between the two points would be the square root of 40. Hope this helped!
4 0
3 years ago
Read 2 more answers
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