Answer:
162
Step-by-step explanation:
Note that you can split the given shape into a triangle and a rectangle.
Area of rectangle = base x height
base = 12
height = 9
Plug in the corresponding numbers into the corresponding variables:
Area of rectangle = 12 x 9
= 108
Area of triangle = (base x height)/2
base = 12
height = 9
Area of triangle = (12 x 9)/2
= (108)/2
= 54
Next, add the two areas together to get the full area:
108 + 54 = 162
162 is your answer.
~
This is the concept of rates, we are required to convert on rate to another. The We have been given a car that is speeding at 9595 mph, we are required to convert this to meters per minute;
Here we proceed as follows;
1 mile= 1609.34 miles/hour
1 hour= 60 min
thus to convert from miles per hour to meters per minute we shall have:
speed=distance/time
our distance will be:
distance=9595*1609.34=15,441,617.3 meters
time=(60*1)=60 minutes
thus;
speed=15,441,617.3/60
speed=257,360.2882 meters per minuts
Rearranging to standard form
= (x - 7)^2 + (y + 5)^2 = -65 + 49 + 25
(x-7)^2 + (y+5)^2 = 9
so the centre is at (7,-5) and the radius is 3
so the circle will be entirely in Quadrant 4.
Answer:
In my opinion, the holding pen (writing or solving something) and being at war related to 3 phases.
Phase 0: Be serious with your pen, with your work.
Phase 1 : After making decision, start to draft carefully, you should list down everything which could happen, prepare well.
Phase 2: Enter the process, enter the battle, keep calm and be decisive.
< Make it quick, I guess this would be deleted as soon>
We integrate the given equation such that,
integral of g(x) = (5/3)x³ - 9x² + 35x
Substituting,
x = 13
integral of g(x) = (5/3)(13³) - 9(13)² + 35(13)
= 2595.67
and, x = 0
integral of g(x) = 0
The area is 2595.67 - 0 = 2595.67
For the second part,
x = 1
integral of g(x) = (5/3)(1)³ - 9(1)² + 35(1)
= 27.67
Area under the curve between x = 0 and x = 1 is 27.67
The difference between the two areas is,
2595.67 - 27.67 = 2568.0
Answer: 2568.0 units squared
