Answer:
x = 20
Step-by-step explanation:
(3x + 50) = (6x - 10)
Subtract 6x on each side
3x + 50 - 6x = -10
Combine the x values together
-3x + 50 = -10
Subtract 50 on each side
-3x = -60
Divide each side by -3
x = 20
Answer:
7 cm
Step-by-step explanation:
SA = 208 cm^2
SA= 2*a*b + 2*a*c + 2*b*c
where:
a= first dimension = 2 cm
b= second dimension = 10 cm
c= third dimension
so we have:
208= 2*2*10 + 2*2*c + 2*10*c
208= 40 + 4c + 20c
208-40= 24c
168=24c
c =168/24
c = 7cm = third dimension
Answer: x = 
Step-by-step explanation:
= 
1/27 can be written in index form as 
The equation then becomes:
= 
Equating the coefficient
4x - 5 = -3 ( 2x + 10)
4x - 5 = -6x - 30
10x = -30 + 5
10x = -25
x = -25/10
x = -5/2
x = - 2.5
Answer:
(-3,-6)
Step-by-step explanation:
Answer:

Step-by-step explanation:
From similar triangles, see diagram in attachment

We solve for
to obtain,

The formula for calculating the volume of a cone is

We substitute the value of
to obtain,

This implies that,

We now differentiate both sides with respect to
to get,

We were given that water is drained out of the tank at a rate of 
This implies that
.
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means
.
We substitute this values to obtain,



