Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as
. A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form
, where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers <em>cannot</em> be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither <em><u>terminating</u></em>, nor <em><u>repeating</u></em>. A couple examples of irrational numbers are: π and
, as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. <u>Real numbers</u> comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
Answer:
Answer: <u> </u><u>y</u><u> </u><u>=</u><u> </u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u> </u>
Step-by-step explanation:

» At point of intersection:

» Point of intersection is (1, 2)
• General equation of a line:

- m is slope
- c is y-intercept
» Consider point (1, 2);

Equation:

I think the answer is 1,161 feet
Sorry if that’s incorrect, but here’s the explanation in case you need it:
The tangent of a triangle is the opposite leg over the adjacent leg. 311 is the opposite leg, and X would be the adjacent leg. So 311 divided by x is equal to tan 15. If we rearrange this to be equal to X, X equals 311 divided by tan 15. Tan 15 is equal to 0.2679, so 311/0.2679 = 1,160.6. That amount rounds up to 1,161, giving you the answer of 1,161 feet.
The margin of error decreases with an increased sample size and increases with an increase in confidence level.
Answer:
100 beats per minute
Step-by-step explanation:
If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.
To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:
28.8 secs = 48 beats
60 secs = x beats
Cross multiply
28.8*x = 60*48
28.8x = 2,880
Divide both sides by 28.8
x = 2,880/28.8
x = 100
✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM