T= 7/18 in fraction form
in expanded form its 144- 216t= 60
Alternate forms are 84 - 216t = 0 and -72 ( 3t - 2 = 60)
The result is 72 ( 2 - 3t) = 60
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions.
<h3>How to simplify an expression by trigonometric expressions</h3>
<em>Trigonometric</em> expressions are formulas that utilize <em>trigonometric</em> functions. <em>Trigonometric</em> functions are a kind of <em>trascendental</em> functions, that is, functions that cannot be described in <em>algebraic</em> terms.
In this question we must simplify a given expression by using the following trigonometric formula:
<em>sin 2x = 2 · cos x · cos x</em> (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions. 
To learn more on trigonometric functions, we kindly invite to check this verified question: brainly.com/question/6904750
Answer:
<h2>John has $23.5</h2>
Step-by-step explanation:
Step one:
we are told that their joint amount is $62
let John's amount be x
and Pedro's amount be y
so that y=x+15
Step two:
The equation to represent the situation is
62=x+(x+15)
open the bracket and solve for x we have
62=x+x+15
62=2x+15
2x=62-15
2x=47
divide both sides by 2
x=47/2
x=23.5
<u>John has $23.5</u>
The greatest common factor of 24 and 18 is 6
24/6 = 4 golf balls
18/6 = 3 paddles
so she can sell 6 packages, with each one containing 4 golf balls and 3 paddles.