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Digiron [165]
3 years ago
15

How do you do this question?

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Step-by-step explanation:

The integral was obtained using cylindrical shells.  The volume of each shell is:

dV = 2π r h t

where r is the radius, h is the height, and t is the thickness.

The thickness is either dx or dy.  Looking at the integral, we can tell it is dy.  So the solid is revolved about the x-axis (or a line parallel to the x-axis).

The radius will be y.  So the height must be x = 9/(9+y²).

So the solid is obtained by rotating the region 0 ≤ x ≤ 9/(9+y²), 0 ≤ y ≤ 3 about the x-axis.

You might be interested in
18. El equipo de docentes del Área de Formación Humanística decide repartir 195 ejemplares de libros de lectura a 4 estudiantes
irina [24]

Answer:

Each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Step-by-step explanation:

English Translation

The team of teachers from the Humanistic Training Area decides to distribute 195 copies of reading books to 4 students previously classified on their own merits. But the distribution will be made taking into account absences from classes during the first cycle. How many books does each student receive if their absences have been 1; two; 4 and 5 days, respectively?

Solution

Because the more the number of days absent, the less the number of books each of the 4 students deserve, we have to employ an elaborate scheme.

If 195 copies are distributed equally between 4 People, each person gets 48.75 copies of the books.

Now, if we add another 48.75 copies of books to the total number of books, each person gets 60.9375 books.

But, we can then divide 48.75 extra books on top according to the number of days absent and subtract each person's number from the assumed 60.9375 books, with an extra 48.75 books.

Total number of days absent = 1 + 2 + 4 +5 = 12

(48.75/12) = -4.0625 copies for each absent day.

The student with only 1 absent day gets 60.9375 - 4.0625 = 56.875 copies = 57 copies

The student with 2 absent days, gets = 60.9375 - (2×4.0625) = 52.8125 copies = 53 copies

The student with 4 absent days, gets = 60.9375 - (4×4.0625) = 44.6875 copies = 45 copies

The student with 5 absent days, gets = 60.9375 - (5×4.0625) = 40.425 copies = 40 copies

Hence, each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Hope this Helps!!!

6 0
3 years ago
Put 0.875 in a fraction form
KATRIN_1 [288]
I think the answer is 7/8
4 0
3 years ago
Read 2 more answers
Please help me with this one!!
Tema [17]

Answer:

21 in^{2}

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. <u>9</u>.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

A=bh\frac{1}{2}

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply <em>that</em> by 4. <u>12</u>.

Add 12 and 9 together, and you get:

21 in^{2}

I hope this helps!

6 0
3 years ago
what is the volume of a triangular prism that is 75 centimeters long and that has a base with an area of 30 square centimeters
pychu [463]
75 * 30= 2250 that's how u get the answer
3 0
3 years ago
-4/5 + 3/10 simplified​
liberstina [14]

Answer:

-1/2

Step-by-step explanation:

We need to get a common denominator of 10

-4/5 *2/2 = -8/10

-8/10 +3/10

-5/10

Divide the top and bottom by 5

-1/2

8 0
3 years ago
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