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4 years ago

What is area of a park that is 100 yards square

Mathematics

1 answer:

Savatey [412]4 years ago

8 0

Area=a^2
=100^2
=1000
hope that helps

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Trinity! Math skills needed here lol

Genrish500 [490]

Answer:

The slope of the line is 6

Step-by-step explanation:

The slope of the line is given by

m=(y2-y1)/(x2-x1)

m =(8-2)/(2-1)

= 6/1

The slope of the line is 6

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3 years ago

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A company is selling two different size medicine balls to a local colleges athletic department. The ratio of the ball diameters

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Step-by-step explanation:

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3 years ago

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Find the length if each arc, round your answers to the nearest tenth.

klasskru [66]

Answer:

240

Step-by-step explanation:

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6 0

3 years ago

find an equation of the tangent plane to the given parametric surface at the specified point. x = u v, y = 2u2, z = u − v; (2, 2

Alexxandr [17]

The surface is parameterized by

$\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k$

and the normal to the surface is given by the cross product of the partial derivatives of $\vec s$ :

$\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}$

It looks like you're given

$\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}$

Then the normal vector is

$\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k$

Now, the point (2, 2, 0) corresponds to u and v such that

$\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}$

and solving gives $u = v = 1$ , so the normal vector at the point we care about is

$\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k$

Then the equation of the tangent plane is

$\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath + (z-0)\,\vec k\right) = 0$

$-4(x-2) + 2(y-2) - 4z = 0$

$\boxed{2x - y + 2z = 2}$

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2 years ago

Please help! Geometry!

MrRa [10]

Answer:

$\frac{2\pi}{ 3} = 120 \: degrees$

$arc PR = 2\pi.r( \frac{120}{360} )$

$= 2\pi(8) \times \frac{1}{3}$

$= \frac{16\pi}{3}$

option D

5 0

3 years ago