The equation is a circle centered at the origin with radius 8 (sqrt(64))
Therefore, the bounded region is just a quarter circle in the first quadrant.
Riemann Sum: ∑⁸ₓ₋₋₀(y²)Δx=∑⁸ₓ₋₋₀(64-x²)Δx
Definite Integral: ∫₀⁸(y²)dx=∫₀⁸(64-x²)dx
Answer:
Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
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Answer:
7.536cm^2
Step-by-step explanation:
If this is about statistics then you were asked for a set of
parameters/statistic.
You could collect data values from the newspapers,
magazines, periodicals, recent or on the internet in various ways. You could
have examples like:
<span><span>
1.
</span>60% of the human body is composed of water
</span><span><span>2.
</span>The top 5 mental issues in women: depression, phobia
and anxiety, PTSD, suicide ideation and eating disorders</span>
<span><span>
3.
</span>There are 3 main parts of the brain. Forebrain,
midbrain and hindbrain</span>
<span><span>4.
</span>There are currently 19 births every 1000 people</span>
<span><span>
5.
</span>Mortality rate of 8 deaths/1000 people</span>
<span><span>
6.
</span>There are about 127.3 million people in Japan in
a 2013 survey.</span>
<span><span>
7.
</span>Japan’s GDP is 4.92 trillion.</span>
<span><span>
8.
</span>There are about 64.1 million people in UK (2013)</span>
<span><span>
9.
</span>Average expectancy in the UK is 81.50 years old.</span>
<span><span>
10.
</span>2.678 trillion USD is UK’s current GDP</span>
<span><span>11.
</span>South Korea’s average internet speed is 24.6
Mpbs</span>
<span><span>12.
</span>Apple has currently 2 types of iPhone 6</span>
<span><span>13.
</span>There are 3 founders of Apple</span>
<span><span>
14.
</span>There are at least 12 anxiety disorders in DSM 5</span>
<span><span>15.
</span>People suffering from Major Depressive disorders
are about 6.7% of the US population</span>
<span><span>16.
</span>17 years old is the average age of Britons loss
of virginity, mostly.</span>
<span><span>
17.
</span>There has been 158 movies released in 2013</span>
<span><span>
18.
</span>Facebook has 1.49 billion active users monthly</span>
<span><span>
19.
</span>There are 15 popular social networking sites</span>
<span><span>20.
</span>Introverts are about 60% in the US population</span>
<span><span>21.
</span>Whatsapp has a 417 million users globally</span>
<span><span>22.
</span>24 hours in a day</span>
<span><span>
23.
</span>There are currently 7 billion people</span>
<span><span>
24.
</span>There are at least 1 billion vehicles and cars
globally</span>
<span><span>25.
</span>There are at least 6 billion mobile phones</span>
