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2 years ago

Equivalent ratio

Mathematics

1 answer:

Brums [2.3K]2 years ago

3 0

What are the choices that I’m supposed to choose between

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The town of La Belle wants to build a soccer

postnew [5]

Answer:

4000 yd^2

Step-by-step explanation:

50 yd * 80 yd = (50*80) ( yd * yd) = 4000 yd^2

3 0

1 year ago

The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

Given

The equation of ellipsoid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation of tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ ( Given)

The equation of hyperboloid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The equation of tangent plane at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The equation of tangent plane to the hyperboloid

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The equation of tangent plane

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

2 years ago

At a dinner, the meal cost $22, plus a sales tax of $1.87 was added to the bill, for a total of $23.87. What would the sale tax

Sunny_sXe [5.5K]

$5.61
1.87/22= .085
.085•66=5.61

5 0

2 years ago

2. While NEEDS and WANTS can vary greatly depending on the individual and their situation, which of these items

Nonamiya [84]

C. Safe, reliable childcare for a single parent so they can go to work

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2 years ago

Which expression represents the phrase, "one fifth the sum of 14 and a number"?

Nitella [24]

Answer:

Step-by-step explanation:

8 0

2 years ago