Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.
By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.
This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.
The total area of the given figure is then 34+6, or 40, square units.
<span>c)1 + 2cot^2x + 2cscx cotx
because cosc^2x=1+cot^2x</span>
Answer:
34%
Step-by-step explanation:
Dime = 10 cents, 10% of a dollar
Penny = 1 cent, 1% of a dollar
3 dimes = 30% of a dollar
4 pennies = 4% of a dollar
30% + 4% = 34%
Dy/dx = dy/dt / dx/dt
dy/dx = 12x^2 + 4
when x = 2 , dydx = 52
52 = dy/dt / 3
so dy/dt = 156 (answer)
Answer:
992
Step-by-step explanation:
You must convert the meter the kilometer by miltiplying by 1000
and when you do it you must multiply 0.992 by 1000 since it is a fraction .
or you can work it this way :
- 0.992⇒1m
- x(the new rate) ⇒1000m
- x= 0.992*1000= 992
