Answer:
the volume of sand is 
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, rectangular prism.
Given data
if the sandbox is filled with sand of 
deep the volume of the sand in the box will be calculated based on the the depth of the sand
converting the depth of sand from mixed fraction to proper fraction we have 
the expression for the volume of a rectangular prism is
substituting our data into the expression we have
The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.
The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.
The value of y is 23.
The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.
Thus, the value of x is 15 degrees.
The value of 12z is 45 degrees.
Thus, the required value of z is 3.75 degrees.
2x - 6 = 18
2x = 18 + 6 (24)
2x = 24
x = 12
<span>3x + 9 = 2x + 24
3x + 9 = 2x + 24 - 9 (2x + 15)
3x = 2x + 15
3x - 2x = 15
x = 15
</span><span>4x = 2.4? 0.4x = 2.4? I can't tell what the question is. Let me know in the comments and I'll answer it.
</span>
<span>5x + 4 = 24
5x = 24 - 4 (20)
5x = 20
x = 4
</span><span>2x / 3 = 4
2x = 4 * 3 (12)
x = 6
</span><span>3(x + 7) = 51
3x + 21 = 51
3x = 51 - 21 (30)
3x = 30
x = 10
Hope I helped :)</span>
Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet
