Answer:
The answer is D. Conditional
Step-by-step explanation:
Conditional statements are all written in the form of "IF _____, THEN _____"
Answer:
- Yes it is a right triangle
- The side lengths satisfy the Pythagorean theorem equation
Step-by-step explanation:
We can test these numbers to see if they satisfy the Pythagorean theorem equation:
15² = 9² + 12²
225 = 81 + 144 . . . . true
Since the numbers satisy the Pythagorean theorem relation, they belong to a right triangle.
____
You can recognize that the ratio of side lengths is ...
9 : 12 : 15 = 3 : 4 : 5
Further, you can recognize that the side lengths 3, 4, 5 belong to the right triangle with the smallest integer side lengths that satisfy the Pythagorean theorem. Hence the 9 : 12 : 15 triangle is similar (by a scale factor of 3) to a right triangle, thus is a right triangle.
The gradient theorem applies here, because we can find a scalar function <em>f</em> for which ∇ <em>f</em> (or the gradient of <em>f</em> ) is equal to the underlying vector field:
We have
where <em>C</em> is an arbitrary constant.
So we found
and by the gradient theorem,
Answer:
= 4 grams
Step-by-step explanation:
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass.
Therefore, using the formula;
N = O × (1/2)^n ; where N is the new mass, O is the original mass, and n is the number of half lives.
In this case;
N = 130 × (1/2)^5
= 130 × 1/32
= 4.0625
≈ 4 g
