Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Answer:
6m
Step-by-step explanation:
The ratio of the length and the breadth of rectangle=2:1
Let length be 2x, then breadth = x
Now,
Length(l)=12 m
or,2x=12m
or,x=6m
x=breadth=6m
It should be answer B. With 0.0321 there is a zero both before and after the decimal, while answer A only has one before the decimal.
Answer:
We can find if a critical point is a local minimum or maximum by looking at the second derivatives.
Step-by-step explanation:
If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.
Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.
