Answer:
a) AB2
b) 1106
Explanation:
Hex addition can be achieved through repeated subtraction of 16 from the decimal sum of same place values of hex numbers until the result is reached to one of the hex digits from 0 to F. The carry increases by 1 where each time the number 16 is subtracted from the hex numbers decimal sum. The below example lets you understand how to perform hex numbers addition
(a) 6B4 + 3FE
6 B 4
+ 3 F E
-------------------------------------------------
A B 2
(b) A 4 9
+ 6 B D
---------------------------
1 1 0 6
Answer:
y = 6
Step-by-step explanation:
If the slope of a line is zero, then it is a horizontal line. This means that the line will have a constant y value for all x, hence the equation of the line is y = 6
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
Answer:
Light is moving at the speed = 77.78 km/min
Step-by-step explanation:
Given:
Distance between island and point P = 5 km
Moving along the the shoreline when it is 1 km from P.
So, x = 1
From the above statement light makes seven revolutions per minute.
Therefore,
Solution:
From the given figure.
Substitute x = 1
-------------------(1)
Now, first we differentiate both side with respect to t.
Using chain rule.
Substitute from equation 1.
Substitute 
Applying cross multiplication rule.
Therefore, light is moving along the shore at the speed of 77.78 km/min
Answer:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. Therefore, -5 is rational.
