Answer:
Recall from Logarithm law Log a - Log b = Log (a/b)
so, Log 2 - Log 4 = Log ( 2/4)
= Log ( 1/2).
Also from the law
Log (a/b) = Log a - Log b
i.e Log (1/2) = Log 1 - Log 2
Recall: Log 1 = 0
which implies : Log 1 - Log 2 = 0 - Log 2
= - Log 2
Step-by-step explanation:
Answer 83
Step-by-step explanation:
Answer:
<h2>R = 15°</h2>
Step-by-step explanation:
Since angles R and S are supplementary angles it means that the sum of their angles add up to 180°
To find R we must first find x
To find x , add angles R and S and equate them to 180
That's
R + S = 180
80 - x + 3x - 30 = 180
2x + 50 = 180
2x = 180 - 50
2x = 130
Divide both sides by 2
x = 65°
From the question
R = 80 - x
But x = 65°
Substitute the value of x into the expression
That's
R = 80 - 65
We have the final answer as
<h3>R = 15° </h3>
Hope this helps you
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to

where
r is the radius of the circular base
h is the height of the cylinder
we have


substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have


Simplify
Divide by 8π both sides

square root both sides

the answer is :
V36x^4*y^(1/4)= 6x^2*y^(1/8)