Negation of all owls fly?

2 answers:

8 0

Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's at least one element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:

Not all owls can fly.

Ratling [72]3 years ago

6 0

...wow the other person was fantastic.. I’m not even gonna try competing...

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two points on the same side of a tree are 65 feet apart. the angles of elevation of the top the tree are 21 19 from one point an

zloy xaker [14]

The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.

1) Convert the angles to decimal form:

19' * 1°/60' = 0.32° => 21° 19' = 21.32°

20' * 1°/60' = 0.33° => 16° 20' = 16.33°

2) Deduce the trigonometric ratios from the verbal information.

You can form a triangle with

- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h

=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)

You can form a second triangle with:

- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h

=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)

Now equal the two expressions for h:

(x+65)*tan(16.33) = x*tan(21.32)

=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet

=> h = 195.73 * tan(21.32) = 76.39 feet.

Answer: 76.39 feet

5 0

3 years ago

Solve the inequality. q - 1 1/3 > -2 1/2

ioda

$\Leftrightarrow q>1\frac{1}{6}$