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Zina [86]
3 years ago
7

A solid lies between planes perpendicular to the​ x-axis at x = -11 and x = 11. The​ cross-sections perpendicular to the​ x-axis

between these planes are squares whose bases run from the semicircle y equals negative \sqrt{121 - x^2} to the semicircle y equals \sqrt{121 - x^2}. Find the volume of the solid.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer:

The answer for the volume of the solid is 7098.67 unit^3.

Step-by-step explanation:

As mentioned in the question semicircle y Equals

y=−√121−x^2

to the semicircle

y=√121−x^2

Base of square is,

B=2√121−x^2

Area of square:

A=b^2

Substitute:

A=(2√121−x^2)^2

=4(121−x^2)

limits are from:

−11 to 11.

Expression since the limits are -11 and 11.

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Natali5045456 [20]

Answer:

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Step-by-step explanation:

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A blanket is 4 feet wide. It is 3 times as long as it is wide. Find the perimeter and area of the blanket.
garri49 [273]

Answer:

P: 32

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Step-by-step explanation:

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3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
likoan [24]

Answer:

Thus, the two root of the given quadratic equation x^2+4=6x is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, x^2+4=6x

This can be written as ,  x^2-6x+4=0

We have to solve using quadratic formula,

For a given quadratic equation ax^2+bx+c=0 we can find roots using,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}  ...........(1)

Where,  \sqrt{b^2-4ac} is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}

\Rightarrow x=\frac{6\pm\sqrt{20}}{2}

\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}

\Rightarrow x={3\pm \sqrt{5}}

\Rightarrow x_1={3+\sqrt{5}} and \Rightarrow x_2={3-\sqrt{5}}

We know \sqrt{5}=2.23607(approx)

Substitute, we get,

\Rightarrow x_1={3+2.23607}(approx) and \Rightarrow x_2={3-2.23607}(approx)

\Rightarrow x_1={5.23607}(approx) and \Rightarrow x_2=0.76393}(approx)

Thus, the two root of the given quadratic equation x^2+4=6x is 5.24 and 0.76 .

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Step-by-step explanation:

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