Answer:
S = 32.1 m/s
Step-by-step explanation:
P = 1,500
S = 30
since P is proportional to S², then we must first determine S² = 900
900 / 1,500 = S² / 1,715
(900 x 1,715) / 1,500 = S²
1,543,500 / 1,500 = S²
S² = 1,029
S = √1,029 = 32.08 m/s ≈ 32.1 m/s
Answer:

Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:

Solve for x


So:


At this point, we have established that the rhombus is made up 4 triangles of the following dimensions


So, the area of the rhombus is 4 times the area of 1 triangle




Probability(both marbles are red) = 5/12 * 4/11 = 20/132
= 5/33 Answer
Answer:
The answer is option 5.
Step-by-step explanation:
The formula is V = 1/3×π×r²×h where r represnt radius and h is height. Given that the diameter of cone is 8 inches so the radius is 4 inches then substitute the value into the formula :

Let r = 4,
Let h = 12,


Answer:
y - 3 = -4 (x +2)
Step-by-step explanation:
Point slope form is
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 3 = -4 (x - -2)
y - 3 = -4 (x +2)