The number that produces a rational answer when added to 0.85 is; 193/180
<h3>How to identify rational numbers?</h3>
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Now, let us convert 0.85 to a fraction. Thus;
0.85 = 85/100 = 17/20
From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;
17/20 + 2/9 = 193/180
193/180 is a rational number.
The missing options are;
A. 2/9
B. 0.2645751311...
C. √2
D.
Read more about rational numbers at; brainly.com/question/4694420
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Answer:
Option (2).
Step-by-step explanation:
It is given in the question,
ΔLMN is a right triangle with base LM = 3a units
Hypotenuse MN = 5a
By applying Pythagoras theorem in ΔLMN,
MN² = LM² + NM²
(5a)² = (3a)² + MN²
25a² - 9a² = MN²
MN = √16a²
MN = 4a
Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).
Option (2) will be the answer.
Answer:
Therefore the answer is 20.
Step-by-step explanation:
We know that
class interval = range / number of classes
But here number of classes is not given , so we use the formula
class interval = range / ( 1+ 3.322 log N)
where , range =maximum - minimum = 220-100 = 120
N= number of observations = 50
class interval = 120 / ( 1+ 3.322 * log 50) = 18.06
Rounding up to a convinient number
Thus , class intervai = 20
Therefore the answer is 20.
Answer:
x = 3
Step-by-step explanation:
5(2 - x) = 7x - 26
Distribute;
10 - 5x = 7x - 26
Add 5x to both sides;
10 = 12x - 26
Add 26 to both sides;
36 = 12x
Divide both sides by 12;
x = 3
Answer:it’s 28 or 7
Step-by-step explanation: