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noname [10]
3 years ago
15

What is the area of the shaded region?

Mathematics
2 answers:
Rudiy273 years ago
5 0

Answer:

if pi is 3.14: 163.52 m^2

if pi is just π: 264 - 32π m^2

Step-by-step explanation:

22 x 12 = 264

4 x 4 = 16

16 x 2 = 32

16 x 3.14 = 50.24

264 - 50.24 x 2 = 163.52

Semmy [17]3 years ago
3 0

Answer:

163.47

Step-by-step explanation:

We know the area of the whole rectangle by multiplying 12 by 22 to get 264. Now we just have to find the area of the circles and subtract it from the rectangle.

The area of a circle is πr^2. These circles' radii is 4, so 4^2π = 16π

Since there are 2 circles, double 16π to get 32π, 32π is equal to 100.53096491, rounded to 100.531. 264 - 100.531 = 163.469, rounded to 163.47

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lesya692 [45]
Circumference because if you rolled the parallelogram into a circle, the dotted line would go around the outside of it.
3 0
3 years ago
The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
Read 2 more answers
A square is sometimes a rhombus
Veseljchak [2.6K]

Answer:

This would be true.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Timothy has $1111 and Mary has $777. How much money does Timothy need to give Mary, so that they would have the same amount of m
ZanzabumX [31]

Answer:

167

We do 1111+777 for the total and that is 1888

1888/2=944

then 1111-944=167; then they will have equal amounts!!

LUV YA!!

3 0
3 years ago
Elizabeth is sketching a copy of the flag shown. The dimensions of the drawing are one-third those of the actual flag. If the ar
spayn [35]

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

8 0
3 years ago
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