0.0277956989 I really hope this helps you out!
Answer:
b = 4
Step-by-step explanation:
5b + 4 = 24
5b = 20
b = 4
Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:

<em>subtract 1 from both sides</em>

2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>

(C)
Step-by-step explanation:
The volume of the conical pile is given by

Taking the derivative of V with respect to time, we get


Since r is always equal to h, we can set

so that our expression for dV/dt becomes


Solving for dh/dt, we get


