Answer:
True
Step-by-step explanation:
The sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °.
24+30+126=180
Answer:
-1
Step-by-step explanation:
The volume of a cone, V(cone), is given by the following formula:
V(cone) = (1/3)Bh, where B is the area of the circular base and h is the height of the cone. The area B of the base is given by the formula B = πr², where r is the radius of the circular base; Therefore, substituting for B, the volume of a cone becomes:
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.
I got 665 but I was typing pretty fast so sorry if it’s not right. That is if you mean add every number together like 1+2+3+4.....
