The height of the flag pole is 51 ft.
Solution:
Paul creates the smaller triangle and flag pole creates the larger triangle.
Base of smaller triangle = 10 ft
Height of smaller triangle = 6 ft
Base of the larger triangle = 85 ft
Let the height of the flagpole be h.
Multiply by 85 on both sides.
⇒ 51 = h
The height of the flag pole is 51 ft.
Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon-
14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14 is 
, assuming the initial amount of Carbon-14 is 
:
(2)
This means: 
(2)
Now,finding from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years
Answer:
<h2>3</h2>
Step-by-step explanation:
<h3>Step 1: Identify two points on the line</h3>
1,2 & 2,5
<h3>Step 2: Select x1, y1 & x2, y2</h3>
x1 = 2, y1 = 5 x2 = 1, y2 = 2
<h3>Step 3: Use the Slope Formula</h3>
change y/ change x
<u><em>IMPORTANT: it is change in y over change in x, not the other way around. It will be wrong if done the other way, though that would seem to be more logical, since x is the first variable in the pair.</em></u>
Y 5 -2 = 3
X 2 - 1 = 1
3/1 = 3
<em>PLEASE MARK BRAINLIEST</em>
Answer:
volume for cube = length cubed I.e. 6x6×6 = 216
-9x+1=-80
First, subtract 1 from both sides.
-9x=-81
Divide both sides by -9.
x=9
The answer is 9 (x=9).
I hope this helps :)
