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Dennis_Churaev [7]
4 years ago
12

Find the volume of the shaded figure by subtracting the smaller volume from the larger

Mathematics
1 answer:
alekssr [168]4 years ago
6 0

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

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Pi times the diameter and the diameter is double the radius so it’s pi multiplied by 8
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Please help me with this homework
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Answer: The answer is 226.2

Step-by-step explanation: I got the answer from this website, its basically a volume calculator for any shape. https://www.omnicalculator.com/math/cylinder-volume

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3 years ago
The function f(x)-->4-3sinx is defined for the domain 0≤x≤2pi
Alex787 [66]
 <span>1--- f(x) = 4 - 3 sin x = 2 
-3 sin x = -2 
sin x = 2/3 
x ≈ 0.7297276562... ≈ 0.73 

2--- -1 ≤ sin x ≤ 1 
-3 ≤ 3 sin x ≤ 3 
3 ≥ -3 sin x ≥ -3 
7 ≥ 4 - 3 sin x ≥ 1 

If k < 1 or k > 7, there is no solution. 

3--- A = 3π/2 

4--- g(x) = 4 - 3 sin x = y 
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
3 0
3 years ago
Item 3
miss Akunina [59]

Answer:

By an online search, i found that the options are:

Option A. A(10)

Option B. A(11)-A(9)

Option C. A(10)/10

Option D. A’(10)

Let´s start by defining the concept of a derivative.

When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.

Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.

Particularly, A´(10), will be the rate of change at t = 10.

Then the correct option is: Option D. A´(10)

8 0
3 years ago
Triangles ABC and RST are similar. Find ST.
Bezzdna [24]

Set up;

(15^2)(CB) = (7.5^2)/(ST)

(15^2)/(5) = (7.5^2)/(ST)

Cross-multiply to find ST.

3 0
3 years ago
Read 2 more answers
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