You can find the area of a hemisphere by using the following equation
V = (2/3) (pi)*r^3
so V = (2/3) (pi)*1.6^3
Which comes out as 8.5786423394 or 8.6
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is
, then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:


To solve for
, we plug in the coordinates of the point that we know the line runs through,
:




Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

<em>Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.</em>
<em>Thus, I am solving based on it. It would still clear your concept. </em>
Answer:
The inverse of f(x)=9x+7
Step-by-step explanation:
Given the function

A function g is the inverse of function f if for y=f(x), x=g(y)
Replace x with y

solve for y


Therefore,
The inverse of f(x)=9x+7 is:
i.e.

Answer:
75 quarters 25 nickels
Step-by-step explanation:
q=quarters n=nickels
q+n=100 n=100-q
0.25q +0.05(100-q)=20
From now I will multiply by 100 to avoid decimals
25q + 5(100-q)=2000
20q=1500
q=75 n=25
75*0.25= 18.75
25*0.05=1.25
18.75+1.25=20