Answer: 6
Step-by-step explanation: So there is 4 people and lets say I'm one of them, so I shake hands with 3 people, that's 3 handshakes, then one of those 3 people shake hands with the other 2, that's 5 handshakes, and then the last 2 shake hands with each other since they haven't, so that's 1 more which means 6 handshakes.
Sorry if this is wrong.
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
In the smaller triangle, let
be the length of the smallest leg. Then the smallest leg in the larger triangle is
.
Within the scope of the smaller triangle, we have
such that

Then within the larger the triangle, we would have

Now we can solve for
:


Answer:
10)
No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.
11)
7. its the square root of 49, which is the closest to 55.
hope this helps!