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3 years ago

Find the greatest common factor for pair 18,36

Mathematics

1 answer:

netineya [11]3 years ago

3 0

The GCF of 18 and 36 is 18. To solve this, use the picture attached. After creating the boxes, find a number that both 18 and 36 can be divided by, for example, 9. Now that you have 9, divide both 18 and 36 by 9. That equals 2 and 4. Place the numbers underneath the boxes you made previously and find another number that both 2 and 4 are divisible by. 2 and 4 are both able to be divided into 2. Do 2 divided by 2 and 4 divided by 2. Now you have the numbers 1 and 2. There aren't any numbers that can be divided into 1 and 2, so now you are left with the numbers 9 and 2. Multiply the numbers together to get a GCF of 18. Hope this helped!

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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

ABCD is a rhombus AC = 5.5 cm and BD = 4 cm. what is the area of the rhombus

Likurg_2 [28]

A = 11. Hope this helped!

3 0

3 years ago

Read 2 more answers

What is the first step when applying properties of operations to divide 73.85 by 4.1?

gavmur [86]

Step-by-step explanation:

divide the divisor and dividend by 10

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3 years ago

Help with this math test

telo118 [61]

Answer:

blank 1 : 2

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blank 4: 8

blank 5: 3

blank 6: 6

blank 7: 9

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Step-by-step explanation:

domain = first number

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2 years ago

-3.1 + s = -19.22 i need serious help with this!!!

olga nikolaevna [1]

Answer:

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Step-by-step explanation:

Move the -3.1 to the other side so the variable s is isolated. Then on the right side, you will have -19.22 + 3.1. That equals <u>-16.12.</u> That is your answer.

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3 years ago