The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A = 
where,
α is the central angle in radians
On substituting the value we get:
Therefore, the area of sector is 1.57 m²
Answer:
Step-by-step explanation:
Let X be the initial price in March 2004.
Let X' be the price for March 2005.
Let X" be the price for June 2005.
March 2005: The price was reduced by 20%. Thus, X' = 0.8X
June 2005: The price was reduced by 1/6 of the March 2005 price: Thus,
X" = X' - (1/6)X'
Substituting, we have X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (0.1333X)
X" = 0.6667X
The June 2005 price is 0.6667 of the 2004 price. That's a (1-0.6667) or 33.33% reduction.
School 1:
16 boys
Boys: Girls = 1:2
Girls= Boys x2
Girls = 32
Total students= girls + boys = 16 + 32 = 48
All 5 schools sent the same number of students
48 x 5 = 240
Answer = 240
Yes.
30 x .30 = 9 cm is a 30% decrease
30-9= 21 cm
Let x be the number of apples in Box B. The number of apples in box A is equal to x+125. After transferring 1/5 of the apples from A to B will give us the equation of,
((x)+(1/5)(x+125) - (4/5)(x+125) = 15
The value of x from the equation is 225. Therefore, the number of apples in Box A and B are 350 and 225, respectively.
