Given:
The base of the triangle = 8.6 yd
The height of the triangle = 10.9 yd
To find the area of the triangle.
Formula
The area of a triangle with b as base and h as height is

Now,
Taking, b= 8.6 and h = 10.9 we get,
sq yd
or,
sq yd
Hence,
The area of the given triangle is 46.87 sq yd.
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
Answer:
21.7391%
Step-by-step explanation:
21800/1002.80
Log(2)/log(1.064) ≈ 11.17 . . . . hours
_____
The population can be given by
p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n