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rusak2 [61]
3 years ago
15

On a rectangular coordinate plane, a circle centered at (0, 0) is inscribed within a square with adjacent vertices at (0, -2√) a

nd (2√, 0). What is the area of the region, rounded to the nearest tenth, that is inside the square but outside the circle?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

  0.9 square units

Step-by-step explanation:

We assume you intend the vertices of the square to be (±√2, 0) and (0, ±√2). Then the diagonals of the square are 2√2 in length and its area is ...

  (1/2)(2√2)² = 4

The radius of the inscribed circle is 1, so its area is ...

  π·1² = π

and the area outside the circle, but inside the square is the difference of these areas:

  area of interest = 4 - π ≈ 0.858407

  area of interest ≈ 0.9

You might be interested in
In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod
ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

\frac{dp}{dt}=\frac{0.7}{100}P

\int \frac{dP}{P}=0.007\int dt

lnP=0.007t+C

Using the formula

\int \frac{dx}{x}=ln x+C

P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}

e^C=A

Initially when t=0,P=323 million

Substitute the values

323 million=A

P=323e^{0.007t}

Now, substitute P=400 million

400=323e^{0.007t}

ln\frac{400}{323}=0.007t

ln(1.2384)=0.007t

t=\frac{ln(1.2384}{0.007}

t=30.5\approx 31 Years

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0
3 years ago
Explain why a graphical display might be skewed. How<br> do you ensure data isn't skewed?
Ipatiy [6.2K]

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

4 0
3 years ago
Read 2 more answers
Cual es la raiz de 28
Hitman42 [59]

Answer:

5.29150262213

Step-by-step explanation:

I hope this answer has helped you

3 0
3 years ago
Read 2 more answers
Please help. my grade in math is terrible all i want is help please.
joja [24]

Answer:

45 divided by 5 = p

p= 9.

....

8 0
2 years ago
Let
DedPeter [7]

Whatever is inside parentheses first [g(x)], is what you would evaluate first, then after that, you would substitute that answer into the f(x) function for EVERY "X" YOU SEE:

[2x² + 5]² + [2x² + 5] + 2

[2x² + 5]² + [2x² + 7]↓

This is your final answer. You get it?

5 0
3 years ago
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