compass.
The idealized ruler, known as a straightedge, is assumed to be infinite in length, have only one edge, and no markings on it. The compass is assumed to have no maximum or minimum radius, and is assumed to "collapse" when lifted from the page, so may not be directly used to transfer distances. (This is an unimportant restriction since, using a multi-step procedure, a distance can be transferred even with collapsing compass; see compass equivalence theorem.) More formally, the only permissible constructions are those granted by Euclid's first three postulates.
It turns out to be the case that every point constructible using straightedge and compass may also be constructed using compass alone.
The ancient Greek mathematicians first conceived straightedge and compass constructions, and a number of ancient problems in plane geometry impose this restriction. The ancient Greeks developed many constructions, but in some cases were unable to do so. Gauss showed that some polygons are constructible but that most are not. Some of the most famous straightedge and compass problems were proven impossible by Pierre Wantzel in 1837, using the mathematical theory of fields.
In spite of existing proofs of impossibility, some persist in trying to solve these problems.[1] Many of these problems are easily solvable provided that other geometric transformations are allowed: for example, doubling the cube is possible using geometric constructions, but not possible using straightedge and compass alone.
In terms of algebra, a length is constructible if and only if it represents a constructible number, and an angle is constructible if and only if its cosine is a constructible number. A number is constructible if and only if it can be written using the four basic arithmetic operations and the extraction of square roots but of no higher-order roots.
Answer:
Step-by-step explanation:
You must use common denominators so you convert them with common facts that are used for 9 & 5 so I used 9 & 5 for each other
4*5=20
9*5=45 giving the new fraction of 20/45 for clothes
1*9=9
5*9=45 giving a new fraction of 9/45
Then subtract food from clothing cost to get an answer
20/45 - 9/45 = 11/45 more on clothes than food
<span>There are several information’s that are actually of immense importance,
already given in the question. Based on these information’<span>s the answer to the question can be easily
deduced.</span></span>We already know that
24 hours = (24 * 60 ) minutes
= 1440 minutes
Then
In 30 minutes the number of commercials shown =16
so
In 1440 minutes the number of commercials shown = (16/30) * 1440
= 768
So the number of
commercials shown in 24 hours is 768.
Answer:
it is bigger by 1/5
Step-by-step explanation:
