Answer:
60 hand shakes.
Step-by-step explanation:
We have been given that there are 6 married couples at a party.
This means there are 12 people in total.
We know that number of handshakes for n people is given by formula
.
We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.
So formula for this problem would be
or
.
Since total numbers of people is party is 12, so we will get:



Therefore, there will be 60 hand shakes at the party.
Answer:
Step-by-step explanation:
SOH CAH TOA can remind you of the relationships between triangle measures. The distance east is the side of the right triangle that is opposite the angle, so is related to the hypotenuse (ship's travel distance) by the sine function.
sin(43°) = (travel distance)/(distance east)
So, ...
(distance east) = (travel distance)·sin(43°)
Likewise, the cosine function can be used to find the distance south.
Then we have ...
east = (130 km)sin(43°) ≈ 95 km
south = (130 km)cos(43°) ≈ 89 km
The standard form of a line is an easy way to solve for the properties of a line, such as slope and the intercepts. Take a line with the equation in standard form,
Ax + By = C
The slope here is given by y = -A/B.
The x-intercept here is given by (C/A, 0).
The y-intercept here is given by (0, C/B).
For this problem, the equation is 2x + 4y = 12. Thus,
slope = -2/4 = -1/2
y-intercept = (0, 12/4) = (0, 3)
If you mean .34 lbs and .13lbs, she would need 2.53
If you meant .34 and 1.3 lbs , she would need 1.36
If actually mean 34 lbs and 13lbs , Kaitlynn has way more than 3 lbs