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3 years ago

Which number is a common factor of 27 and 45? A) 5 B) 9 C) 12 D) 15

Mathematics

2 answers:

mestny [16]3 years ago

6 0

Answer:

We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.

Step-by-step explanation:

taurus [48]3 years ago

5 0

9 is the common factor of both 27 and 45 cause 9 * 5 is 45 and 9*3 is 27

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The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan

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Answer:

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Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle $ABE$ .

$\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}$

$\tan76^{\circ}=\dfrac{AE}{BE}$

$AE\approx 4.01\times 354$

$AE\approx 1419.54$

The height air balloon is 1419.54+95 =1514.54 ft

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Step-by-step explanation:

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