Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
To find the area of a triangle, use the formula that is A= 1/2(base x height)
Answer:

Step-by-step explanation:
Let L be the length of the ladder,
Given,
x = the distance from the base of the ladder to the wall, and t be time.
y = distance from the base of the ladder to the wall,
So, by the Pythagoras theorem,

,
Differentiating with respect to time (t),




Here,

Also,
( Ladder length = constant ),




Which is the required notation.
Answer:g(X)=2x^2-10
Step-by-step explanation:
If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c
Here, f(x) is translated 2 units down to obtain g(x).
Hence, we have
g(x)=f(x)-2
=2x^2-8-2
=2x^2-10
<h3>
Answer: approximately 2076.56001909938
cubic cm</h3>
====================================================
Work Shown:
V1 = volume of cylinder
V2 = volume of cone on top
V3 = V1+V2 = volume of entire 3D solid figure
-----------
V1 = volume of cylinder
V1 = pi*r^2*h
V1 = pi*8.75^2*5.8
V1 = 1395.06348773471 which is approximate
----------
V2 = volume of cone
V2 = (1/3)*pi*r^2*h
V2 = (1/3)*pi*8.75^2*8.5
V2 = 681.49653136466 which is approximate
----------
V3 = V1+V2
V3 = 1395.06348773471+681.49653136466
V3 = 2076.56001909938
Answer is approximate
The units for the volume are in cubic cm.