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3 years ago

Find AE if AB=12, AC=16, and ED=5.

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

Answer:

the ratio is 12:16=3/4

So AE:5+AE=3/4

4AE=15+3AE

AE=15

Step-by-step explanation:

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Naya [18.7K]

Answer

899

Step-by-step explanation:

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2 years ago

How to get 24 with 7 8 5 and 9

xxMikexx [17]

Answer:

Here's how

Step-by-step explanation:

7 plus 5 equals 12, minus 9, get 3 then multiply by 8 and get 24.

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3 years ago

Round to the nearest ten-thousand <br> 568,135

DIA [1.3K]

Answer:

Step-by-step explanation:

570000 to the nearest ten thousand

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3 years ago

A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

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2 years ago

2 to the negative 3rd power represented another way

Citrus2011 [14]

Answer:

1/8

Step-by-step explanation:

2^(-3) = (1/2)^3 = 1/2^3 = 1/8

5 0

3 years ago