Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
B) Is correct and
as-well is A.
B had no repeated values and A has none as-well.
And for A the curve increases without a repeated value (as drawn in the picture)
For D 2 was repeated.
and for C, 3 was repeated.
The answer is 20, because it goes up every time.
I believe the total capacity in gallons is 12.
Answer:
Step-by-step explanation:
The quadratic can be solved in a straightforward way:
This tells you that the solutions are ...
2i or -2i
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For each root of "a", (x -a) is a factor. Thus the factors of the equation are ...
(x +2i)(x -2i)
