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Mathematics

2 answers:

Sedbober [7]3 years ago

4 0

No, the shape does not show a correct line of symmetry. A line of symmetry divides a figure into two halves that make mirror images of each other; the shape's two halves do not make mirror images.

goldenfox [79]3 years ago

3 0

No, a line of symmetry should cut the shape or object in half and represent a perfect mirror image.

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John is looking up at the top of the Empire State Building from 1 mi. away and measures the angle of elevation to be 11 degrees.

torisob [31]

Refer to the attached image.

Let the height of the Empire State Building = BC = 'x'

John is standing at distance from Empire State Building = AB = 1 mile

The angle of elevation = 11°

In triangle ABC,

Consider $\tan 11^{\circ}= \frac{Perpendicular}{Base}$

$\tan 11^{\circ}= \frac{BC}{AB}$

$\tan 11^{\circ}= \frac{x}{1}$

$0.194= \frac{x}{1}$

x = 0.194 mile

Since 1 mile =5280 feet

So, x = $0.194 \times 5280$

= 1024.32 feet.

So, the height of the Empire State Building is 1024.32 feet.

8 0

3 years ago

Read 2 more answers

Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.