Factor out the GCF of 64−32x

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

4 0

Answer: 32

Step-by-step explanation:

nalin [4]3 years ago

4 0

<h2>Helloooo!! Marie Here!!!</h2>

The answer is:

Step-by-step-Explanation:

Prime Factorization of 32

Prime factors of 32 are 2....... Prime factorization of 32 is:

32 =25
Step-2: Prime Factorization of 64
Prime factors of 64 are 2.....Prime factorization of 64 is:
64 =26

The of 32 that divides 32 without a remainder:

1, 2, 4, 8, 16

The factors of 64 that divides 32 without a remainder:

1, 2, 4, 8, 16, 32
So the greatest common factor 32 and 64 is 32.

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From a hot-air balloon, Brody measures a 39° angle of depression to a landmark

EleoNora [17]

The balloon's vertical distance above the ground is 430 feet.

<h3>What is the angle of depression?</h3>

You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.

The angle from horizontal to the point where you stopped your head is called the angle of depression.

From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.

The angle of depression = 39°

The base = 532

We need to find the vertical distance consider perpendicular.

$\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80$