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Anni [7]
2 years ago
10

Plz help me answer this

Mathematics
1 answer:
lbvjy [14]2 years ago
6 0

Answer:

a

Step-by-step explanation:

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The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y
Ivahew [28]

The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is 

(x - x^2)^2 * sqrt(3)/4. 

Integrating from x = 0 to x = 1, we have 

[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4 

= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144. 

Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...

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3 years ago
In ΔNOP, p = 85 inches, ∠O=57° and ∠P=113°. Find the length of o, to the nearest 10th of an inch.
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Step-by-step explanation:

8 0
3 years ago
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Algebra 1. Please show work.
MAVERICK [17]
Try this:
Given:
\left \{ {{x-y=1} \ [1] \atop {x+y=3} \ [2]} \right.
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3 years ago
Four balls of wool will make 8 knitted caps. How many balls of wool will Malcolm need if he wants to make 6 caps
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Solve for x: 9(x+1) = 25+X
Inessa [10]

Answer:

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Step-by-step explanation:

9(x+1) = 25+x      

<u>Distribute the 9:</u>

<u />

  9x+9=25+x      

   

<u>Subtract x on both sides:</u>

<u />

  8x+9=25                      

   

<u>Subtract 9 on both sides:</u>

<u />

        8x=16    

                           

<u>Divide both sides by 8:</u>

          x=2

5 0
3 years ago
Read 2 more answers
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