Answer:
<em>f</em> has no critical points.
Step-by-step explanation:
We are given:

A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:

Since this will never be undefined, solve for its zeros:

Hence:

Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, <em>f</em> has no critical points.
Answer:
Area of the trapezium ABDE = 30 cm²
Step-by-step explanation:
Area of a trapezium = 
Here,
and
are the parallel sides of the trapezium
h = Distance between the parallel sides
From the picture attached,
ΔCAE and ΔCBD are the similar triangles.
So by the property of similarity their sides will be proportional.


CE = 
CE = 12 cm
Therefore, DE = CE - CD
DE = 12 - 8 = 4 cm
Now area of trapezium ABDE = 
= 
= 30 cm²
Therefore, area of the trapezium ABDE = 30 cm²
Answer:
2L^2 - 27L + 70 = 0.
Step-by-step explanation:
p = 2(L + W)
27 = 2L + 2W
2W = 27 - 2L
W = (27 - 2L)/2
Substitute for W in the area equation:
A = LW
35 = (27 - 2L) * L / 2
L(27 - 2L) = 70
-2L^2 + 27L - 70 = 0 Multiply through by -1:
2L^2 - 27L + 70 = 0
Wouldn't this be $90-$27 which is 63, 63 being the cost of your earrings
55 cubic units because
- each cube is equal to 1 cubic unit
- the total volume is 60 cubic units
- 5 cubes are already inside