Solution:
The permutation formula is expressed as

The combination formula is expressed as

where

Given that 6 objects are taken at a time from 8, this implies that

Thus,
Number of permuations:

Number of combinations:

Hence, there are 28 combinations and 20160 permutations.
6/y=9/5(due to similarity)
y=6*5/9=30/9=10/3=3.333..
Answer:

Step-by-step explanation:
1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

2) Collect like terms.

3) Simplify.

Therefor, the answer is, 10x^3 - 26x^2 - 12x.
Answer:
x² - 4x + 3
Step-by-step explanation:
When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.
(x−3)(x−1) Expand with FOIL
= x² - x - 3x + 3 Collect like terms
= x² - 4x + 3
Answer:

Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
