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Geometry

Geometry = Math of Euclid. Geometry is the Branch of math known for shapes (polygons), 3D figures, undefined terms, theorems, axioms, explanation of the universe, and pi.

500 Questions

How can you find the angle of a sector in a circle?

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Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].

If the radius of a circle is 2 feet what is the circumference?

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The circumference is 12.566370614359172 feet.

How many degrees in a right angel?

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90 degrees...

Which of these is a geometric shape pyramid cube or rectangle?

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They are all examples of geometric shapes. A rectangle is two diminutional and pyramids and cubes are three diminutional.

How many sides does a polygon have if the interior angles are 8820?

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It has (8820+360)/180 = 51 sides

What do you call A triangle with a 90 degrees angle?

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Any triangle with a 90 degree angle is called a right triangle.

What is linear foot of 18ft diameter circle?

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A linear foot is the same as a foot. So, an 18-foot diameter circle would measure 18 linear feet in diameter!

Formula for volume of triangular prism?

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To find the volume of a triangular prism, find the area of one of the triangles (base of the prism) first (base x height divided by 2). When you have the area of the triangle, then multiply the area of the triangle by the height of the prism, *not the height of the base.

Could the segments 9 4 and 11 form a triangle?

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Yes, the sum of any two sides is always greater than the third side:

9 + 4 > 11

4 + 11 > 9

11 + 9 > 4

What is the exterior angle of a octagon?

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The external angle of a regular octagon is 225 degrees. Each internal angle of a regular octagon is 135 degrees.

What do rhinoceroses look like?

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A rhino is a large (1500kg-3500kg), grey, thick skinned (paciderm) mammal. It has a maximum height of around 1.7 metres and is around 4 metres long. The rhino's head is long and elongated with eyes at about mid-point between its nucal hump (neck muscle) and lips with relativaly large ears.On the front of the rhinos skull are two horns, the one in front is much larger than the second. This animal is found through out southern Africa and India. The rhino is an odd-toed ungulate with short stuby looking legs and can gain speeds of up to 35km an hour.

What does nicotine look like?

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It is a clear liquid that comes from the tobbacco plant to keep bugs from eating it. (This post by babybluehashyo)

What is the line called that divides a fraction?

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The Vinculum, in some countries, is the name given to the horizontal line used to separate the numerator and denominator in a fraction.

How it can be proved that angle between two straight lines is equal to the angle between their normals?

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If two lines have angles theta1 and theta2 relative to some third arbitrary line, then the angle between those two lines is theta1 minus theta2. The normal of a line at a point is a line that is 90 degrees from the line going through that point, so the angle between a line and its normal is 90 degrees. As a result, the angle between the two normals of those lines is (theta1 plus 90) minus (theta2 plus 90), which is the same as theta1 minus theta2 because the two plus 90's cancel each other.

How do you prove that the diagonals and either base of an isosceles trapezoid form an isosceles triangle?

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Consider the isosceles trapezium ABCD (going clockwise from top left) with AB parallel to CD. And let the diagonals intersect at O

Since it is isosceles, AD = BC

and <ADC = <BCD (the angles at the base BC).

Now consider triangles ADC and BCD.

AD = BC

The side BC is common

and the included angles are equal.

So the two triangles are congruent.

and therefore <ACD = <BDC

Then, in triangle ODC,

<OCD (=<ACD = <BDC) = <ODC

ie ODC is an isosceles triangle.

The triangle formed at the other base can be proven similarly, or by the fact that, because AB CD and the diagonals act as transversals, you have equal alternate angles.

In PC 1 3 how many atoms bond to the central atom and how many lone pairs are there in it?

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In PCl3 there are three bonds to the central atom (P) and one lone pair..

This can be worked out as follows. P has 5 valence electrons, shares three electrons with the chorine atoms (1 each) leaving 2 electrons on the P as a lone pair. In VSEPR theory this is an AX3E compound like ammonia.