Answer: The length AC equals 10.25 cm (approximately)
Step-by-step explanation: Please refer to the diagram attached for further details.
The triangle has been constructed according to the dimensions provided with the top B going down to the "little square inside the triangle" which is C. This clearly identifies it as a right angled triangle. The point B meets with point C at the right angle and A is the sharp tip of the triangle, which makes point A the third angle. Hence we now have a right angled triangle with side AB measuring 11 cm, side BC measuring 4 cm and side AC is unknown.
We can now apply the Pythagoras' theorem which is stated as follows;
AC² = BC² + AB²
Where AC is the hypotenuse (longest side) and BC and AB are the other two sides. We can now substitute for the appropriate sides in this question as all the sides have been labelled differently. Hence,
BA² = BC² + CA²
11² = 4² + CA²
121 = 16 + CA²
Subtract 16 from both sides of the equation
105 = CA²
Add the square root sign to both sides of the equation
√105 = √CA²
10.2469 = CA
CA ≈ 10.25 cm
The third side AC (or CA) measures approximately 10.25 cm
We are given
The average income, I, in dollars is
(a)
now, we are given
average income is $275000
so,
now, we can set them equal
and then we can solve for x
we will have to use quadratic formula
we get
we need to find youngest age
It means that we need to choose smallest value
so,
............Answer
(b)
we are given
x=40
so, we can plug it and find I
..............Answer
9514 1404 393
Answer:
B.
Step-by-step explanation:
The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...
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<em>Even degree</em> means the end behaviors are the same for both large and small x. <em>Negative leading coefficient</em> means the function value decreases for larger x.
