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3 years ago

8

Angela designed a hat pin in the shape of a triangle. All sides of the hat pin are different length. Which type of triangle is A

ngela’s hat pin?

1 answer:

Trava [24]3 years ago

5 0

It's a scalene triangle, a triangle where all of the sides are different lengths.

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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

3 years ago

A radio DJ frequently announces how much money is currently in a jackpot. Every day several randomly selected residents are call

Fofino [41]

Answer:

"Variable interval" is the right solution.

Step-by-step explanation:

A variable-interval timetable seems to be a fiber-reinforced routine where another sensitivity or reaction would be commended because an unanticipated or unstable transaction has taken place, which would be the exact reverse of either a fixed-interval routine.
The whole such schedule results in a slow or predictable, fairly constant targeted respondents.

6 0

2 years ago

What is the probability of having 3 children that are all boys?

olganol [36]

So you have a 50% chance to have a boy vs a girl (1/2). If you want 3 children, that would be 1/3*1/2= 1/6 or 16.67% chance

5 0

3 years ago

Fill in the missing parts. Then determine which bowl contains more sodium.

san4es73 [151]

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

6 0

2 years ago

Help me will give brain

Aleonysh [2.5K]

Answer:

The answer is C

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−2)=6x+18

Step 1: Simplify both sides of the equation.

4(x−2)=6x+18

(4)(x)+(4)(−2)=6x+18(Distribute)

4x+−8=6x+18

4x−8=6x+18

Step 2: Subtract 6x from both sides.

4x−8−6x=6x+18−6x

−2x−8=18

Step 3: Add 8 to both sides.

−2x−8+8=18+8

−2x=26

Step 4: Divide both sides by -2.

−2x/−2=26/−2

x=−13

Answer:

x=−13

3 0

2 years ago