Answer:
2
Step-by-step explanation:
We are given that a decimal number d
d=0.12345678...
Where d is formed by writing in succession all the positive integers in increasing order after decimal point.
We have to find the 100th digit of d to the right of the decimal point.
Place of first digit 1 after decimal=Tenth
Place of second digit 2 after decimal=Hundredth
Place of third digit 3 after decimal=Thousandth
Therefore, 100th digit of d to the right of the decimal point=2
On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Range = difference between the highest and the lowest
Mode = Data that occurs the most time
Median = Arrange the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle terms.
1) Range = 28 -21 = 7
Mode = 25
Number of data (Count the total dots) = 14
Median = average of 7th and 8th term
Median = (25+25)/2 = 50/2 = 25
2) Range = 0.18 - 0.11 = 0.07
Mode = 0.15 and 0.16
Number of data = 23
Median =12th term = 0.15
Answer: The correct option is (c) 
Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:
Also, we are to find the constant added on both sides to form the perfect square trinomial.
We have from equation (i) that
So,
Thus, the required solution is 
and the value of the constant added is
Option (c) is correct.
