<span>To determine how many different orders in which you could line them up, you would need to perform a simple math problem. You would multiply 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. This multiplication would give you 40320 different orders. You would multiply 8! because there are 8 different cards, and 8 different places in which they can be put in the order.</span>
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression 
is equivalent to the <em>trigonometric</em> expression 
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression is equal to the <em>trigonometric</em> expression . Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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Answer:
C
Step-by-step explanation:
Make a system of equations.
Justin = j
Greg = g
j + 15 = g
g/2 + 75 = j
We can substitute.
(j + 15)/2 + 75 = j
j/2 + 15/2 + 75 = j
j/2 = 165/2
j = 165
Substitute back into j + 15 = g
165 + 15 = g
g = 180
Median: 89
mode: no mode
hope i helped
