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Proofs
Proof means sufficient evidence to establish the truth of something. It is obtained from deductive reasoning, rather than from empirical arguments. Proof must show that a statement is true in all cases, without a single exception.
1,294 Questions
What does CPCTE stand for in geometry?
Corresponding parts of congruent triangles are congruent, perhaps some people use equal instead of congruent?
Method of solving:
Start off with the Green cassettes. Timewise, how many minutes will 16 of them be? 16x55=880 minutes.
How many minutes of music do you have? Only 830. The difference is 50.
What are the difference between Green and Blue cassettes? 55-45=10
How many times is 10 in 50? 50/10=5
Solution:
Niko have got 5 blue and the rest (11) green.
What is the Product of two whole numbers?
The product of two whole numbers depends on what the numbers are. The operation is multiplication.
11 and 8. You find the factors of 88 first. Then find which 2 will subtract to equal 3
What is the sum of all the prime numbers less than 50?
2+3+5+7+11+13+17+19+23+29+31+37+41+43+47 = 328
Prove that equilateral triangles are equiangular?
Statement Reason
1. triangle ABC is equilateral..............................................given
2. AC is congruent to BC;
AB is congruent to AC........................................definition of equilateral
3. angle A is congruent to angle B;
and B is congruent to angle C.............................Isosceles Theorem
4. angle A is congruent to angle C..................Transitive Property of Congruence
5. triangle ABC is equiangular...............................Definition of equiangular
There are unlimited digits in pi and they never repeat. The first few are 3.14159.......
What is an example of militarism?
An example of militarism is the Arms Race between the United Kingdom and Germany before and during the war. Both countries fought for supremacy as the greater military power by tremendously increasing their war spending.
Prove that two equilateral triangles are always similar?
Two triangles are similar if: 1) 3 angles of 1 triangle are the same as 3 angles of the other or 2) 3 pairs of corresponding sides are in the same ratio or 3) An angle of 1 triangle is the same as the angle of the other triangle and the sides containing these angles are in the same ratio. So if they are both equilateral, then they both have three 60 degree angles since equilateral triangles are equiangular as well. Then number 1 above tell us by AAA, they are similar.
What is the perimeter of a semi circle?
The perimeter of a full circle is 2*pi*r. Where, pi is the mathematical constant that is the ratio of any circle's circumference to its diameter, approximately equal to 3.14, and r is the radius of the circle. The perimeter of a semi circle, assumed to be half of a full circle is pi*r where pi and r are previously defined.
It could be 421 or 842.
If you have natural number then why you use binary number in computer?
Humans understand natural numbers (1,2,3,etc) , but computers only understand binary (0,1). Computers only understand either 0 as "off" and 1 as "on."
How do you compare keystrokes per minute to typing words per minute?
Key strokes per minute is a far more accurate way of measuring the speed of someone typing. Words can be 1 to fifteen or more letters, that makes a difference.
Examples:-
"I" counts as one word and it counts as one keystroke.
"contraindicated" would count as only one word, but it counts as fifteen keystrokes.
Can Postulates be used to prove theorems?
No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.
When you inhale 50 percent argon gas is it dangerous for your healthus?
Yes it is dangerous for your health. It can end your health through asphyxiation.
What is the use of statistics in determining authenticity of biblical manuscripts?
Using corpus linguistic techniques, it is possible to ascribe probabilities to the authorship or period of a manuscript - if other manuscripts from that author or period exits. A manuscript claiming to be biblical, which mentions Moses texting his people is rather unlikely to be authentic!
If, for example, an author is particularly fond of using long words where shorter alternatives are readily available, then a piece of work containing relatively few long words is less likely to be from the same author. That is an illustrative but very simplistic example. Average letters per word, average words per sentence, commonly used words or word combinations are all measures that help build a profile of the author.
How many digits of pi has been discovered?
So far it's been calculated to well over a trillion decimal places ! The final answer will never be known - since the value of Pi is a never-ending number that (up to now) doesn't exhibit any repetitive sequence of digits. Theoretically, someone could calculate the number for the rest of their lives and never reach a final solution !
