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Effectus [21]
3 years ago
5

A flag pole casts a shadow that is 10 feet long. A nearby windmill casts a shadow that is 18 feet long. If the flag pole is 18 f

eet tall, how tall is the windmill, to the nearest tenth of a foot?​
Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

Answer:

26

Step-by-step explanation:

i need my points

Liono4ka [1.6K]3 years ago
6 0

Answer:

26?

Step-by-step explanation:

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Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
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Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
The equation of a parabola is y=1/8x2−4x+41 .
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Step-by-step explanation:

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Fittoniya [83]

Answer:

12x-7=

Step-by-step explanation:

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3 years ago
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Solving proportions<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%5C3%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7Ba%7D%7B20%7D%20" i
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Answer:

a = 4/3

Step-by-step explanation:

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Divide each side by 5

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