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frutty [35]
3 years ago
9

What is the area of this composite figure?

Mathematics
2 answers:
Darya [45]3 years ago
8 0

Answer:

C) 34 cm^2

Step-by-step explanation:

6x4 + 5x2 = 34

Leya [2.2K]3 years ago
7 0
C is the answer 34 cm 2 that should be the correct answer
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Find the area cut out of the cylinder x2 z2=9 by the cylinder x2 y2=9.
Digiron [165]
The cylinder is symmetric across the plane y=0, so we need only consider half of the cut-out region.

This region can be parameterized by

\mathbf r(r,\theta)=(r\cos\theta,\sqrt{9-r^2\cos^2t},r\sin\theta)

with 0\le\theta\le2\pi and 0\le r\le3. Then the area of this half is given by the surface integral

\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\left\|\mathbf r_r\times\mathbf r_\theta\right\|\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_0^{2\pi}\int_0^3\frac{3r}{\sqrt{9-r^2\cos^2\theta}}\,\mathrm dr\,\mathrm d\theta
=36

Doubling this gives a total area of 72.
6 0
3 years ago
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges flat fee of $21 plus $1
Ostrovityanka [42]

Answer:3 hours total

Step-by-step explanation:

15+(3*3)=21+(1*3) which equals out to 24$

6 0
3 years ago
Read 2 more answers
The sum of the digits of a 2-digit number is 11. If the digits are reversed, the number formed is 45 more than the original numb
jeka57 [31]
<h2>the original number is 38</h2>

Step-by-step explanation:

Let the two-digit number be 10t+u where t is the tens digit and u the units digit.

-------------------

EQUATION:

t+u = 11

10u+t = 10t+u + 45

-------------

Rearrange the equations:

t+u = 11

9t-9u = -45

-------------

Simplify:

 

t+u = 11

t-u = -5

---------

Add the equations to solve for "t":

2t = 6

t = 3

--------

Substitute to solve for "u":

3+u = 11

u = 8

6 0
4 years ago
So, I have a math problem, the problem is,16x^0+2x^2*y^-1,How do I solve if x = 2 and y = 4?
Mekhanik [1.2K]

Answer:

Given x = 2 and y =4

so 16x^{0}+2x^{2}y^{-1}

= 16*2^{0} + 2*2^{2}*4^{-1}

= 16 + (2*4)/4

=16 + 8/2

16 + 2

=18

Step-by-step explanation:

7 0
3 years ago
HELP PLEASE WILL MARK BRAINIEST!!!!!
ozzi

Sometimes, always, always, always, sometimes, always

6 0
3 years ago
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