# Heron's Formula

Heron's formula is a formula that gives the area of a triangle given the lengths of its three sides. It is named after Heron of Alexandria, a Greek mathematician who lived in the 1st century AD. The formula is: A = sqrt(s(s-a)(s-b)(s-c)) where: A is the area of the triangle s is the semiperimeter of the triangle, which is half the sum of the lengths of the three sides a, b, and c are the lengths of the three sides of the triangle
Heron's formula can be derived using trigonometry or geometry. It is a powerful formula that can be used to find the area of any triangle, regardless of its shape or size.

In the video I work through an example problem that will show you how to use Heron's formula.
I hope it helps.

# Rules for rounding Numbers

If you need to round 65.44 to the tenth place, do you round the 4 to 5 or leave it as is?

You can use this simple statement to help with this.

Four or less let is rest

Five or more raise the score

So with this example problem you look at the 100th place and it is 4 so you keep the 10th place the same.

65.44 = 65.4

Now let's round 76.568 to the 100th place.

Look at the 1000th place, it is 8 which is five or more so it becomes ....

76.568 = 76.57

Round 62.5789 to the 10ths

Look at the 100th, and it is 7 so five or more raise the score so 62.5789 rounded to the 10th is 62.6

You may enjoy this playlist of our Math shorts

# Multiply Positive and Negative Numbers

When you multiply two negative numbers, is the answer a negative or positive number?
Follow these two simple rules in order to multiply properly.

1. When both signs are the same, the answer will be positive.

2. When one sign is positive, and one is negative, the answer will be negative.

For example,

-5 x -4 = 20

-5 x 4 = 20

3 x 6 = 18

-4 x - = 24

This same rule applies to division of two integers.

You may enjoy this playlist of my Math shorts over many Math topics.

# Rationalize the Denominator

Many times you may need to rationalize the denominator which means there will not be an irrational number as the denominator.
Rationalizing the denominator involves rewriting a fraction so that the denominator is a rational number. This can be done by multiplying both the numerator and denominator of the fraction by a suitable expression.

For example, to rationalize the denominator of the fraction 1/√2, we can multiply both the numerator and denominator by √2: 1/√2 * √2/√2 = √2/√4 = √2/2
Now the denominator is a rational number, 2.

Let's rationalize the denominator of 1/√3

# The Outer Planets-Jovian Planets

The Outer Planets which are also called the Gas Giants include Jupiter, Saturn, Uranus, and Neptune. These planets are also called the Jovian Planets. The term Jovian means Jupiter like. The Jovian planets, also known as gas giants, are the four largest planets in the Solar System: Jupiter, Saturn, Uranus, and Neptune. They are all composed primarily of hydrogen and helium, and have thick atmospheres and no solid surfaces.

Jupiter
Largest planet in the Solar System Has a thick atmosphere with a Great Red Spot Has 79 known moons

Saturn Second largest planet in the Solar System Has a thick atmosphere with a hexagonal-shaped polar vortex Has 62 known moons
Uranus Third largest planet in the Solar System Has a thick atmosphere with a unique tilt Has 27 known moons
Neptune Fourth largest planet in the Solar System Has a thick atmosphere with a Great Dark Spot Has 14 known moons

# Properties of Nonmetals

Nonmetals are found on the right of the periodic table and tend to gain electrons.

There are 17 nonmetals Hydrogen Helium Lithium Beryllium Boron Carbon Nitrogen Oxygen Fluorine Neon Chlorine Argon Phosphorus Sulfur Selenium Bromine Krypton

They range from brittle solids to gasses at room temperature. Because their outer shells are filled with electrons they tend to gain electrons.

They share some of these properties.

Nonmetals share these properties

• Low density

• Poor conductors of heat and electricity

• Not malleable or ductile

• Brittle solids or gasses at room temperature

• React with metals to form salts

# 11 Body Systems in 3 minutes

If you could take a look inside this person riding the skateboard you would see an amazing team of different body systems working together.

There are at least 11 body systems that work together to help keep the human body alive.

The integumentary system is made up of our skin, which is the largest organ of the body. It acts as a barrier which protects us from the outside world, helps prevent water loss, and regulates our temperature. In addition, it allows us to touch our surroundings.

The skeletal system is made up of our bones, ligaments which attach bone to bone, tendons which attach muscle to bone and our joints. The skeletal system helps with movement and protection.

The muscular system is responsible for movement inside and out of the body. There are three major types of muscles, skeletal muscles which are muscles attached to bones, smooth muscles which are involuntary muscles found inside the stomach, the intestines and several other places, and cardiac muscle which are muscles of the heart.

The urinary system filters blood through the kidneys where it works to filter out waste and produces urine.

The function of the respiratory system is to exchange oxygen and carbon dioxide between the atmosphere and the blood. The lungs are a major organ of this system.

The digestive system breaks down food so nutrients can be absorbed by the body. It has three main functions, ingest food, break food down so that nutrients can be absorbed, and eliminate what can't be digested.

The endocrine system sends chemical messages throughout the body. This system is composed of glands that produce hormones that act as chemical messengers of the body. For example adrenaline is a hormone that causes you to have a sudden burst of energy.

The reproductive system is responsible for producing offspring.

The lymphatic system includes organs and cells that filter lymph and blood and destroy foreign microorganisms.Lymph is the fluid that leaks out of the capillaries. This fluid circulates among the tissue cells and is collected by lymphatic vessels and returned to the veins.

The nervous system sends electrical signals throughout your body. These signals may cause your arm to move or your heart to be this system is composed of two major divisions. The central nervous system, which is the brain and the spinal cord, and the peripheral nervous system which consists of the nerves that branch out from the brain and the spinal cord.

The circulatory system pumps blood throughout your body. It consists of your heart veins that carry blood to the heart arteries that carry blood away from the heart and capillaries which connect the veins and the arteries.

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