Answer: solving for x would be x ≤ 3
Step-by-step explanation:
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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:
2. 2.3
3. 37.2 m
Step-by-step explanation:
2. tan theta = opposite/ adjacent
tan 25 = x/5
Multiply each side by 5
5 tan 25 = x/5 *5
5 tan 25 = x
2.331538291
To the nearest tenth
2.3 =x
3. We want to find the height or y
sin theta = opposite/ hypotenuse
sin 60 = y /43
Multiply each side by 43
43 sin 60 = y/43 * 43
43 sin 60 = y
37.23909236 = y
To the nearest tenth
37.2 =y
The light pole is 37.2 meters tall
Imagine 2 as 2.0 and add 3.5 and that equals 5.5 add 3.5 equals 9.0. the anser is no because 5.5 it says equals 9.9 but it makes 9.0
