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Lady_Fox [76]
3 years ago
10

Evaluate the following expression. cos870° - sin780º =

Mathematics
1 answer:
Yuri [45]3 years ago
8 0

Answer:

-sqrt(3)

Step-by-step explanation:

Solve each individually

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Find the area of the surface. the part of the cylinder y^2+z^2=9 that lies above the rectangle with vertices (0,0),(4,0),(0,2),
Mice21 [21]
We can parameterize this part of the cylinder using

\mathbf s(u,v)=\langleu,3\cos v,3\sin v\rangle

with 0\le u\le4 and \cos^{-1}\dfrac23\le v\le\dfrac\pi2. Then the surface element is

\mathrm d\mathbf S=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=3\,\mathrm du\,\mathrm dv

so the area is given by the surface integral, where D denotes the part of the cylinder in question,

\displaystyle\iint_D\mathrm d\mathbf S=3\int_{v=\cos^{-1}(2/3)}^{v=\pi/2}\int_{u=0}^{u=4}\mathrm du\,\mathrm dv=6\pi

Probably less work would involve a simpler geometric approach, but it doesn't hurt to practice setting up a proper surface integral.
4 0
3 years ago
Witch rate is equivalent to 72/9
satela [25.4K]

Answer:8

Step-by-step explanation:

72/9=8

7 0
3 years ago
What it is the answer to this problem
kirill115 [55]
This question actually states 2930 divided by 5
We use this method by first seeing how was fives go into the first number
In this case no 5's go into 2 so we put a 0 above the line and carry over the 2 to the 9.
Out number now says 29, 5 fives gointo 29with a remainder of 4.
We write the 5 above the line and carry the four across.
We now have 43, 8 fives gointo 43 with a remainder of 3.
We write the 8 above the line and carry the 3.
Our last number now says 30, 6 fives gointo 30 exactly so we can just write 6 above the line.
The numbers we have writen across the top now say 586 which is the answer to this problem.
6 0
4 years ago
What number would be ten times greater than 0.05?
Nastasia [14]

Answer:

0.5?

Step-by-step explanation:

8 0
3 years ago
A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and represent the balloon’s
Gnesinka [82]

Answer:

Total change in altitude is 960 feet. Since it is descending, I believe it would be a negative 960 feet.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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