Answer: 8008
Step-by-step explanation:
Total entrees = 16
Number of entrees to choose = 6
Since order does not matter , so we combinations .
Number of combinations to choose r things out of n = 
Then, total ways to choose 6 entrees = 
Hence, the required number of ways= 8008
Answer:
i guess your new grade would be 88%. If you past 100%, you might pass for that grade. Even if you get a 90%, you'll still be able to pass.
Step-by-step explanation:
You need 864.52 sq. in. of blue tile.
We need to find the area of the large circle (including blue and yellow) and the area of the yellow circle.
We have the circumference of the blue circle, 113.097.
C = πd
113.097 = 3.14d
Divide both sides by 3.14:
113.097/3.14 = 3.14d/3.14
36.018 = d
The diameter is twice as much as the radius, so r = 36.018/2 = 18.009.
The area of a circle is given by the formula
A = πr²
A = 3.14(18.009)² = 1018.38 sq. in.
The area of the small yellow circle is given by
A = 3.14(7²) = 3.14(49) = 153.86
Subtracting these two, we have
1018.38 - 153.86 = 864.52 sq. in.
Answer:
21.5%
Step-by-step explanation:
The first step is to find the area of the square, and then the area of the circles inside. The area of the square is the side length squared, or in this case 2304. Since the circles are inscribed in the square, they are touching the borders, and two of them perfectly cross to the other side. Therefore, the diameter of one of the circles is half of the side length of the square, and the radius is a quarter. Thus, the area of one of the circles is 
, which when multiplied by the 4 circles yields about 1809.557. Subtracting this from the total area of the square, you get 494.443, which when divided by the total area of the square gives approximately 21.5%. Hope this helps!
