The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
Answer:

Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form
.
Given: 
Let
be it's solution.
We get,

Since
, 
{ we know that for equation
, roots are of form
}
We get,

For two complex roots
, the general solution is of form 
i.e 
Applying conditions y(0)=1 on
, 
So, equation becomes 
On differentiating with respect to t, we get

Applying condition: y'(0)=0, we get 
Therefore,

Answer:
3/5
Step-by-step explanation:
Slope=

slope =

=

Hey there! :)
Answer:
First choice. 36/100 or 36%.
Step-by-step explanation:
Total # of squares:
10 × 10 = 100 squares.
# of squares shaded:
6 × 6 = 36 squares.
shaded/total to find the percent shaded:
Fraction: 36/100
Percentage: 36/100 × 100 = 36%.
Answer:
A. 20/31
B. 5/12
Step-by-step explanation:
A. P(Juanita hits) = 20/31
B. P(Su doesn't hit) = (24-14)/24 = 10/24 = 5/12