Answer: a) 110√2 meters
b) 2.42 hectares
<u>Step-by-step explanation:</u>
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
b) Area of a square is side squared. 10,000 meters² = 1 hectare
Answer:
a) 15!×16×15×...×7
b) .
c)
Step-by-step explanation:
a) There are 15! ways to line the women first. Now, a man can be placed either to the left of some woman (giving 15 choices) or to the right of the last woman on the line (1 additional choice). So the number of ways of placing the men is 16×15×...×7, that is, 10-permutations of 16. Then the number of ways to line everyone is 15!×16×15×...×7.
b) First, choose 3 women of said committee. There are 15 women and we must choose 3, then there are ways of doing this. Afterwards, choose 3 men for the commitee. There are 10 men, so the number of ways of doing this is . The commitee must have 8 people and we already chose 6, so we must choose 2 more persons. There are 25 people in total and we chose 6 of them before, so there are 19 who aren't in the committee. Then the number of ways of completing the commitee is . The number of ways of doing all of this (and creating the commitee) is .
c) There are 25 choices for a president. After choosing a president, there are 24 choices for the secretary. 23 people remain, then there are ways of choosing the social commitee. We are left with 19 people, thus there are ways to form the social commitee. Similarly, because 14 people haven't been selected, there are ways to form the working groups. We conclude that there are ways of conforming all the groups.
Answer:
y= 4
Step-by-step explanation:
(y-4) (y+7)=0
(4-4) (4+7)=0
(0) (11)=0
11*0=0
Answer:
$39
Step-by-step explanation:
60 percent of 65 dollars is 0.6 * 65 which is $39