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OLEGan [10]
3 years ago
11

Other names for a parallelogram?

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0
Rectangle, rhombus square and quadrilateral
Hope it helps
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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
4 years ago
Directions: Simplify by combining like terms in each of the following expressions.
olganol [36]

Step-by-step explanation:

1. 10s2 + 10s2 - 13st = 20s2-13st

2. 13st + - 2st - t2 = 11st - t2

3. x2+ x2 + x3= 2x2 + x3

4. 6 x - 6 x + 2=X+2

5. 24x - 3s - 4t=24x - 3s - 4t

6. 86 + 86x - 1=85+86x

7. 4x + 3x - 2 =7x - 2

8. 7s - 4s + 3s =6s

9. 12 +11x - 10 x = 12+x

10. 12x + 24 x - 3 x - 4 =33x -4

11. 16t + 8t - 12t =12t

12. 17g + 19g - 2g +g =35g

13. 16 + 16 -16 + 16x =16+16x

14. 4s - 3s + 3s =4s

15. 12t - 11t + t =2t

6 0
3 years ago
Nine minus 3 and 3/8
andriy [413]

Answer:6

Step-by-step explanation:

3 0
3 years ago
Drake spent $540 on books. Math books cost $60 and science books cost $80. If he bought a total of 8 books, how many of each kin
PIT_PIT [208]

Answer:

He bought 4 in total

6 0
3 years ago
Read 2 more answers
A rectangular prism has a volume of 729 ft Cube the length the width and the height are all the same what is the length of each
Delvig [45]

\sqrt[3]{729}  \\  = 9 \\so \: each \: side \: is \: 9 \: fts
3 0
3 years ago
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