Step-by-step explanation:
mode= -3 (most common number)
only one; -1 on Sunday
The formula to use is
V = pi*r^2*h
V = volume of cylinder
pi = 3.14 approximately, but we'll leave it as pi
r = radius
h = height
In this problem,
r = 1 since the diameter is 2
h = 4
Plug those two values into the formula
V = pi*r^2*h
V = pi*1^2*4
V = pi*1*4
V = pi*4
V = 4pi
Answer: Choice C
Answer:
Step-by-step explanation:
Two sides are equal. so It is an isosceles triangle.
The angles opposite to equal sides are equal
x + 55 + 55 = 180 {Sum of all the angles of triangle is 180}
x + 110 = 180
x = 180 - 110
x = 70
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.