75 minutes which is 1 hour and 15 minutes (:
Answer:
C. 30 ft
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When we draw out a picture, we should see that we use the Pythagorean Theorem to help solve our missing height:
10² + b² = 32²
b² = 32² - 10²
b = √924
b = 2√231 or 30.3974
Round that to 30 feet.
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
1/2
Is the answer
To the problem
one number that could round to 3 100 when rounded is 3 120
