Hey there!
2.7 * 10^4 + 120
10^4
= 10 * 10 * 10 * 10
= 100 * 100
= 10,000
2.7 * 10,000 + 120
= 27,000 + 120
= 27,120
Therefore, your answer is. [10,000 * 2.712] because 10,000 * 2.712 is approximately 27,120
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
45 minutes, hope this helps
Step-by-step explanation:
Answer:
x = 1
Explanation:
Rule: log(a) + log(b) = log(ab)
cancel out log on both sides
relocate constant variable
take 3 as a common factor
divide both sides by 3
middle term split
factor common terms
collect into groups
set to zero
relocate variables
There must be a positive solution for log, so the solution is only x = 1
(A ∩ B) means "A intersection B". Your problem statement tells you the intersection contains
{3, 4}
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.
