From that equation we know the center is: (1,-1) and the radius is three. Since the distance from the center to (0,0) is:
d^2=1^2+1^2
d^2=2
d=√2
Since d<r, √2<3, the circle intersects the y-axis two times.
So the statement saying that the circle intersects the y-axis is true.
Answer: D) 40%
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Work Shown:
Area of purple rectangle (ignore circular cutout for now) = base*height = 6*12 = 72
I'm assuming the center of the circle is located on the right edge of the purple rectangle. If so, then we can subtract off half the circle's area from the purple rectangle area
Semicircle Area = (pi*r^2)/2 = (pi*3^2)/2 = 14.1371669
Area of purple region = (Rectangle Area) - (Semicircle Area)
Area of purple region = 72-14.1371669
Area of purple region = 57.8628331
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Now divide this area by 144 as this is the total area of the entire largest square (12 by 12 square) to get 57.8628331/144 = 0.401825 which is approximate. This rounds to 0.40 and converts to 40% which explains how I got choice D as the answer
1.304 x 10⁰ = 1.304 x 1 = 1.304
1.304 x 10¹ = 1.304 x 10 = 13.04
1.304 x 10² = 1.304 x 100 = 130.4
1.304 x 10³ = 1.304 x 1,000 = 1,304
1.304 x 10⁴ = 1.304 x 10,000 = 13,040
1.304 x 10⁵ = 1.304 x 100,000 = 130,400
1.304 x 10⁶ = 1.304 x 1,000,000 = 1,304,000
1.304 x 10⁷ = 1.304 x 10,000,000 = 13,040,000
1.304 x 10⁸ = 1.304 x 100,000,000 = 130,400,000
* 1.304 x 10⁹ = 1.304 x 1,000,000,000 = 1,304,000,000 *
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ANSWER:
1.304 x 10⁹ = 1.304 x 1 Billion
Answer:
Step-by-step explanation:
Let's use the integral formula for the surface area of revolution of the function y(x) around the x-axis, which is:
and which in our case, we can obtain the following:
Recall as well that , which gives us the limits of integration:
If we compare it with the geometry formula:
Lateral surface of cone =
which is exactly the expression we calculated with the integral.
Answer:
Width = 5
Length = 10
Step-by-step explanation:
Let x be the width of the rectangle
2x + 2(2x) = 30
x = 5
Width = 5
Length = 10