A triangle has sides with lengths of 4 inches, 8 inches, and 9 inches. Is it a right triangle?
2 answers:
Answer:
Step-by-step explanation:
If a triangle is a right triangle, it will satisfy Pythagorean's Theorem.
When <em>a </em>and <em>b </em>are the legs of the triangle and <em>c</em> is the hypotenuse.
4 and 8 would be the legs of the triangle. 9 would be the hypotenuse because it is the longest side.
Solve the exponents.
Add on the left side of the equation.
80 is not equal to 81. The triangle does not satisfy Pythagorean's Theorem, so it cannot be a right triangle.
You might be interested in
Given:
The function is:
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth/decay factor. If , then decay factor and if
, then growth factor.
We have,
...(ii)
On comparing (i) and (ii), we get
, it means initial there are 500 milligrams of the substance.
, this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.