9514 1404 393
Answer:
∠4 = 45°
Step-by-step explanation:
Angles 1, 2, and 4 are all congruent.
∠4 = ∠2
x +30 = 2x +15
15 = x . . . . . . . . . . . . . subtract x+15
x + 30 = 45 = ∠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.
Answer:
Anna 9 and Betty 15
Step-by-step explanation:
sum the parts of the ratio , 3 + 5 = 8 parts
divide number of sweets by 8 to find value of one part of the ratio
24 ÷ 8 = 3 ← value of 1 part of the ratio , then
3 parts = 3 × 3 = 9
5 parts = 5 × 3 = 15
Anna gets 9 sweets and Betty gets 15
I think the answer is either B or C I am not completely sure but I got 36
Randy averages .66 Runs per inning
Felix averages .8 Runs per inning
Johan averages .71 runs per inning
Therefore, Randy has the lowest number of runs allowed per inning.
