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Illusion [34]
3 years ago
10

Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 10 cm. We have

used the notation Dy for \Delta y
Mathematics
1 answer:
koban [17]3 years ago
5 0
I have the same problem here with a slight change in the given values:

radius is 2 & height of 6 indicates the bounding line is y = 3 x---> x = y / 3.... 

<span>thus the [ π radius ² thickness ] yields π (y² / 9 ) <span>dy ,</span> y in [ 0 , 6 ] for the volume... </span>

a Riemann sum is then : y_i = 0 + i [ 6 / n ] = 6 i / n , i = 1,2,3...n and do a right side sum 

<span>π Σ { i = 1,2,3..n } [ 36 i² / 9 n² ] [ 6 / n ]
</span>
I hope my guide has come to your help. God bless and have a nice day ahead!
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The property of one permits you to multiply or divide the numerator and denominator of a fraction by the same number without cha
Alex777 [14]
<span>There is not a property of "1" for addition, but the identity property in this case uses "0" instead. If a number is increased by 1, the value will necessary be increased or decreased by the amount added or subtracted. However, if the number either adds or subtracts zero, then value will be left unchanged. Examples: 3+1 = 4, but 3+0 = 3,</span>
6 0
4 years ago
A carpet square is 9inches what’s the area of the carpet square?
AleksAgata [21]

Answer:

The area of the carpet which is square in shape is  81 inches^2

Step-by-step explanation:

Given:

side of the carpet square  = 9 inches

To Find:

area of the carpet square = ?

Solution:

The area of the carpet =  area of the square

we know that the area of the square  is

=> side X side

Substituting the side of the square, we get

=> 9 X 9

=> 81 inches^2

6 0
3 years ago
Combine like terms to create an equivalent expression
klasskru [66]

Answer:

1/6a-1/6

Step-by-step explanation:

-2/3 transferred into 6th's is -4/6. You combine like terms, -4/6a+5/6a=1/6a

Then since -1/6 doesn't have a like term, it stays the same.

7 0
3 years ago
Solve the inequality 7(x + 4) &gt; 0.<br> a.x -4<br> c.x 4
sesenic [268]
Solve your inequality step-by-step.

7(x+4)>0

Simplify both sides of the inequality.

7x+28>0

Subtract 28 from both sides
.
7x+28−28>0−28

7x>−28

Divide both sides by 7.

7x/7 > −28/7

x > −4

5 0
3 years ago
Read 2 more answers
You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles
Maslowich

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour

4 0
3 years ago
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