9) Separate the polygon into 2 shapes (a rectangle and triangle). Then plug in the formula for those 2 shapes separately and add the 2 areas.
First, the triangle's area = bh x 1/2 or bh/2.
b=5 and h=5, so 5x5/2 or 25/2 = 12.5.
Next, solve the area for the rectangle(lw=A). l=5 and 2=8, so 5x8=40.
Add 40 +12.5 = 52.5cm^2 (always include units).
10) It is similar to the last problem. You will separate the polygon into 2 shapes (a circle and a square), but this time you will subtract the area of the sector formed from the circle (draw a dotted line where the circle would be formed in the square).
So, the area of the square is 2x2=4ft^2.
area of a circle is (pi)r2 or (pi)2^2= 4pi or about 12.5ft^2.
4+12.5 = 16.5 ft^2.
Now, the area of the sector must be subtracted from the combination of the 2 areas found above.
The area of a sector is 2(pi)r x (C/360).
The angle is given as 90°, the radius is 2 ft. Now plug these into the equation.
2(pi)(2)x(90/360) = 3.14ft^2.
16.5-3.14= 13.4 ft^2.
Answer: {MMM ,MCC ,CMC, CCM ,CMM ,MCM ,MMC ,CCC }
Step-by-step explanation:
- The sample space of an random experiment is the set of all possible results of that particular experiment.
Let C denotes the event when dog catches the throw and M denotes the event when dog misses the throw.
Given: Caleb throws a ball three times for his dog leo.
Then the sample space for the situation is given by :-
{MMM ,MCC ,CMC, CCM ,CMM ,MCM ,MMC ,CCC }
Known facts:
- total number of students on the council: 35
- 60% of the council students are boys
Results:
- therefore 40% of the total number of council students are girls.
Calculation:
Therefore there are 14 girls.
Hope that helps!
