Answer:
120ft.
Step-by-step explanation:
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.
This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.
For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC.
So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,
nPr = 10P8 = 1, 814,400
Thus, the answer is B.
Answer:
m = 0
Step-by-step explanation:
(5,1) and (5,-6)
(-6-1)/(5/5)
= -7/0 = 0 (horizontal line)
It's an equilateral triangle. The angles have measure 60°.
Therefore we have the equations:
6x + 6 = 60 <em>subtract 6 from both sides</em>
6x = 54 <em>divide both sides by 6</em>
x = 9
5y + 10 = 60 <em>subtract 10 from both sides</em>
5y = 50 <em>divide both sides by 5</em>
y = 10
