Please help with the following question. Thank you
1 answer:
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Answer:
The exponential model is .
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that and
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of :
And by (2), we determine the value of :
The exponential model is .
This is usually used as a proof that triangles have 180°. Look at the attached figures. If you cut off angle A, angle B and angle C and rotate them so that their vertices touch, you form a half-circle out of them (or a straight line). We know that half a circle is 1/2 of 360° or 180; therefore all 3 angles in a triangle must add up to 180°.
