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Tju [1.3M]
3 years ago
6

Which pair of undefined terms is used to define a Ray?

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

The undefined terms which are used to define a ray is:

Point and a line.

Step-by-step explanation:

The undefined terms in coordinate geometry are:

Line, Points and Plane.

since a line do not have any length, Point has a location but no size.

A line has no width and it extends infinitely and is one dimensional.

and a plane extends infinitely in both the dimensions.

<em>Ray:</em>

<em>A ray is part of a line, has one fixed endpoint, and extends infinitely along the line from the endpoint.</em>

Hence, the undefined terms which are used to define a ray is:

Point and a line.

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Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
3 years ago
a company wants to design a cylindrical object that has a height of 10 centimeters and a volume of at least 2,000 cubic centimet
AveGali [126]

Answer:

1750 is the answer

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3 years ago
Robert slices a large loaf of bread to make 12 sandwiches. He made 3 turkey sandwiches and 5 veggie sandwiches. The rest are ham
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We already know that there are 12 sandwiches.

If there are 3 turkey and 5 veggie then there's 8 out of 12 sandwiches that aren't ham.

12 sandwiches - 8 non-ham sandwiches = 4 ham sandwiches

Now we know there are 4/12 ham sandwiches

We need to simplify this now.
4/12 can be divided by 4

4 goes into 4 1 time and 4 goes into 12 3 times making the answer 1/3

1/3 of the sandwiches are ham.
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I need help with this problem too
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The answer is $1.80.  You would take 25% of 3, which is 75, and subtract it from 3.  That leaves you with $2.25, which you take 20% off, which is 0.45, and subtract that from 2.25.  That leaves you with a grand total of $1.80.  Hope that this helped!
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