With calculator
sqrt(102) = 10.0995
10 = 10
3pi = 9.424
sqrt(99) = 9.9498
1.1 × 10^1 = 11
9.099 = 9.099
order is
9.099, 3π, sqrt(99), 10, sqrt(102), 1.1 × 10^1
Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
Answer:
18.04%
Step-by-step explanation:
discount = 28.00 - 22.95 = $5.05
Percent saved = 5.05*100 / 28 = 18.04%
Answer:
Profit = $(700 - 42x - 56y)
Step-by-step explanation:
For large candles, the selling price is $10 and its making cost is $x.
So, by selling a large candle the profit is $(10 - x)
Again for small candles, the selling price is $5 and its making cost is $y.
So, by selling a small candle the profit is $(5 - y)
Therefore, in a sell of 42 large candles and 56 small candles the total profit will be, P = 42 (10 - x) + 56 (5 - y)
⇒ P = 420 - 42x + 280 - 56y {Applying distributive property}
⇒ P = $(700 - 42x - 56y) (Answer)
