ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.
to rationalize the radical
Thus, each leg is 5\sqrt{2} [/tex].
The Lagrangian is
It has critical points where the first order derivatives vanish:
From the first two equations we get
Then
At these critical points, we have
(maximum)
(minimum)
Answer:
3. b
2. c
Step-by-step explanation:
The Range (Statistics) The Range is the difference between the lowest and highest values.
The mean is the sum divided by the count.
Answer:
Step-by-step explanation:
50,000 mm=5,000 cm=500 decimeter=50 m=5 decameter
so both are equal.
C.
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 77, -77
