There are 2 orange marbles, 3 green marbles, & 5 purple marbles
two consecutives draws <em>without</em> replacement
Orange first, green second
Orange/total = 2/10, or 1/5
green/total - 1 = 3/9, or 1/3
1/5(1/3) = 1/15
There is a 1/15 chance of <em>Orange first, green second</em>
Both marbles are purple
Purple/total = 5/10, or 1/2
Purple/total = 4/9, or <em>44% chance of both being purple</em>
first is purple, the next is anything but purple
purple/total = 1/2, or 50% chance
(everything - purple)/total = 5/10, or 50% chance
1/2(1/2) = 1/4, or 25% chance of <em>first purple, then anything but purple</em>
hope this helps
Answer:
01001000 01100001 01101000 01100001 01101000 01100001 00100000 01111001 01101111 01110101 00100000 01101010 01110101 01110011 01110100 00100000 01100111 01101111 01110100 00100000 01110011 01100011 01100001 01101101 01101101 01100101 01100100 00100000 01100010 01111001 00100000 01101101 01100101 00100000 01001001 01101101 00100000 01110100 01101111 00100000 01100101 01110000 01101001 01101011 00100000 00111011 00101001 00100000 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 01100001 01101000 00100000 01001001 00100000 01001100 01001001 01001011 01000101 00100000 01011001 01000001 01000011 01010101 01010100 00100000 01000111 00100000 00101010 01010011 01001100 01000001 01010000 00100000 01000001 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000 01001000
Step-by-step explanation:
Answer:
BCF is the correct answer
1. The problem statement tells you to find "the area of the hexagonal face".
2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.
3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.
4. The formula for the area of a circle in terms of its radius is
... A = πr²
5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is
... A = (3√3)/2·r²
6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.
7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.
8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.
9. The area of the hexagon is
... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²
10. The area of the circle is
... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²
11. The area of the hexagonal face is approximately ...
... 166.277 mm² - 50.265 mm² = 116.01 mm²
Given : m represents the number of men at the club
It means - Total number of men at the club are : m
Given : There are four more women than men at the club
It means - Total number of women at the club are 4 more than men
Total number of women at the club are : m + 4
Total number of men and women at the club are :
Total number of men + Total number of women
m + (m + 4)
m + m + 4
4 + 2m
