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Ray Of Light [21]
3 years ago
14

What are the moon phases

SAT
2 answers:
DIA [1.3K]3 years ago
5 0

It's probably easiest to understand the moon cycle in this order: new moon and full moon, first quarter and third quarter, and the phases in between.

As shown in the above diagram, the new moon occurs when the moon is positioned between the earth and sun. The three objects are in approximate alignment (why "approximate" is explained below). The entire illuminated portion of the moon is on the back side of the moon, the half that we cannot see.

At a full moon, the earth, moon, and sun are in approximate alignment, just as the new moon, but the moon is on the opposite side of the earth, so the entire sunlit part of the moon is facing us. The shadowed portion is entirely hidden from view.

The first quarter and third quarter moons (both often called a "half moon"), happen when the moon is at a 90 degree angle with respect to the earth and sun. So we are seeing exactly half of the moon illuminated and half in shadow.

Once you understand those four key moon phases, the phases between should be fairly easy to visualize, as the illuminated portion gradually transitions between them.

An easy way to remember and understand those "between" lunar phase names is by breaking out and defining 4 words: crescent, gibbous, waxing, and waning. The word crescent refers to the phases where the moon is less than half illuminated. The word gibbous refers to phases where the moon is more than half illuminated. Waxing essentially means "growing" or expanding in illumination, and waning means "shrinking" or decreasing in illumination.

Thus you can simply combine the two words to create the phase name, as follows:

After the new moon, the sunlit portion is increasing, but less than half, so it is waxing crescent. After the first quarter, the sunlit portion is still increasing, but now it is more than half, so it is waxing gibbous. After the full moon (maximum illumination), the light continually decreases. So the waning gibbous phase occurs next. Following the third quarter is the waning crescent, which wanes until the light is completely gone -- a new moon.


HACTEHA [7]3 years ago
4 0
New Moon- Waxing Gibbous, Third Quarter, Waxing Crescent, New Moon, Waning Crescent, First Quarter Waning Gibbous New Moon
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Altitudes $\overline{ad}$ and $\overline{be}$ of acute triangle $abc$ intersect at point $h$. if $\angle ahb = 128^\circ$ and $\
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The Angle HCA is equal to 52°. This is arrived at using the knowledge of the Total value of Angles in a Triangle and the Total Value of Angles in a Polygon.

<h3>What other principles were used to arrive at the answer?</h3>

The other principles of mathematics that were used to arrive at the above answer are:

  • Total Angles on a straight line;
  • Total Angles on a point; and
  • Line segments.

<h3>What are the Steps to the Solution? </h3>

Step 1 - Recall that we have been given Angles AHB and BAH to be 128° and 28° respectively.

We also know that:

  1. The sum of angles in a triangle is 180°;...................A
  2. The sum of angles on a straight line is 180°;.........B
  3. The sum of angles in a polygon is 360°; while.....C
  4. The total sum of angles at a point is 360°.............D

Since A...therefore:

When ∠AHB (128°) and ∠BAH are taken from 180° we have DBA = ∠28°.

By observation, we can deduce that ∠BDE, ∠CDH, ∠CEH and ∠AEH are all right-angled triangles.


Using the above, we are able to repeat this process of solving for each angle until we have ∠HCA.

To verify that our answer is correct, recall that sum of angles in a polygon is 360°

That means:

∠BDA + ∠DHE + ∠CEH + ∠HCA = 360°

That is, 90+ 128 + 90 + 52 = 360°

See attached images and;

Learn more about Angles in a Triangle at:
brainly.com/question/25215131
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The probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade is: D. 0.80.

<h3>How to calculate the probability?</h3>

In this exercise, you're required to determine the probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade. Thus, we would apply Bayes's theorem.

  • Let S represent studied for.
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Therefore, we need to find P(S|B):

S|B = \frac{B|S \times S}{B|S \times S\; +\; B|S' \times S'} \\\\S|B = \frac{0.55 \times 0.6}{0.55 \times 0.6 \;+ \;0.2 \times 0.4}\\\\S|B =\frac{0.33}{0.33 + 0.08} \\\\S|B =\frac{0.33}{0.41}

S|B = 0.80.

Read more on probability here: brainly.com/question/25870256

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<u>Complete Question:</u>

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.

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