In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.
Answer: 1 1/8 or 9/8
Step-by-step explanation:
5 1/2-4 3/8= 1/ 1/8
Answer:
as cheeks bxnxndnndnsnsndvbsncnf
Answer:
- f(t) = 6000*1.03^t
- k = 0.0295588
Step-by-step explanation:
The formula for exponential growth can be written a couple of different ways. One I prefer uses the problem numbers directly:
population = (initial population) × (growth factor)^t
Here, the initial population is 6000, and the growth factor is 1+3% = 1.03. Then the function can be written as ...
f(t) = 6000·1.03^t
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Another way to write the function is using the form ...
f(t) = (initial population) × e^(kt)
where k is the natural logarithm of the growth factor. In this form, we have ...
k = ln(1.03)
k ≈ 0.0295588
so the function would be written ...
f(t) = 6000·e^(0.0295588t)
