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Serjik [45]
3 years ago
13

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

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Figure
ludmilkaskok [199]

Answer:

  • a rotation, followed by a translation
  • a translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

  • Reflections : Flips a figure across a line of reflection.
  • Rotations : Rotates a figure about some degrees around a center point.
  • Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

  • a rotation, followed by a translation
  • a translation, followed by two reflections
5 0
2 years ago
Where does the line y = 3x + 5 cross the y-axis?
crimeas [40]
C: at y=5

The formula is y=mx+b (b meaning the y-intercept) so that +5 is where your y-intercept is gonna be!
7 0
3 years ago
Which statement best describes the function represented by the graph?
forsale [732]

Answer:

Step-by-step explanation:

You read a graph from left to right, just like you would read words on a page in a book.  At the left-most "side" of this graph, we are way up at positive infinity.  As we move from left to right, the graph begins to drop in y values.  A drop in y values indicates a decreasing graph.  So it's decreasing, we have that part.  As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity.  As the graph decreases in y values from left to right, the x values increase into positive infinity.  So your choice is the second one: The function is decreasing on the interval (-∞, ∞).

8 0
3 years ago
If f(x) = 5x-3, which expression represents its inverse function?
valentinak56 [21]

Answer:

Pretty sure it's C

Step-by-step explanation:

For inverse functions, I do the opposite operation

the only logical inverse function I see working in this expression would be C

divide the 5 from 5x and add the 3

Also, subtract the f(x) on both sides to get the "- y"

so, you get : 5/x + 3 = - y (f(x) is just "y")

4 0
3 years ago
Evaluate the Expression<br> When X=2, 3x-1=
Alex777 [14]

Answer:

5

Step-by-step explanation:

If X equals 2, then 3 times X would be 6. This is because if a number and a variable are put together, you have to multiply them. 6-1 is 5.

4 0
2 years ago
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