What is the approximate side length of a square game board with and area of 188 in. squared.
2 answers:
Answer:
13.7 inches
Step-by-step explanation
<em>Area = base*height</em>
(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)
<em>Area of square = side length^2</em>
(square root both sides of the equation, and you get the following)
<em /><em> </em><em>= side length</em>
(now, substitute the info)
<em /><em> = x</em>
(solve)
<em>x = 13.7 inches</em>
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Answer:
k = 5
Step-by-step explanation:
Given
+
= 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
Hello!
as a fraction.
0.344 = 0.344/1
The 4 is in the thousandths place. Multiply both the numerator and the denominator by 1000.
0.344 × 1000 = 344
1 × 1000 = 1000
This gives us: 344/1000
It's fraction form can be reduced. Simply divide both the numerator and the denominator by 8:
344 ÷ 8 = 43
1000 ÷ 8 = 125
0.344 = 0.344/1
The 4 is in the thousandths place. Multiply both the numerator and the denominator by 1000.
0.344 × 1000 = 344
1 × 1000 = 1000
This gives us: 344/1000
It's fraction form can be reduced. Simply divide both the numerator and the denominator by 8:
344 ÷ 8 = 43
1000 ÷ 8 = 125
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