Step-by-step explanation:
the lowest common denominator (LCD) is the lowest common multiple (LCM) of the denominator numbers (the ones at the bottom of the fractions).
finding the LCM of 9 and 12 using the prime factor method :
9 = 3×3
12 = 2×2×3
the LCM is the combination of the longest chains per prime factor. which means we have 2×2 and 3×3 as longest chains for 2 and 3.
LCD = LCM = 2×2×3×3 = 36
2/9 turns into x/36 by multiplying by 4/4 :
2/9 × 4/4 = 8/36
5/12 turns into x/36 by multiplying by 3/3 :
5/12 × 3/3 = 15/36
so, the third answer option is correct.
Answer:
x is approximately 48.2.
Step-by-step explanation:
Use the trig function of cosine, or adjacent over hypotenuse.
cos theta = adjacent / hypotenuse
Substitute variables.
cos x = 10 / 15
Apply inverse cosine to both sides.
x = cos^-1(10/15)
Evaluate.
x ≈ 48.2
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.
<h3>What is a golden rectangle?</h3>
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.
In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,
Length of the rectangle = 1.618 × 15 feet = 24.27 feet
Now, the perimeter of the rectangle can be written as,

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.
Learn more about Golden Rectangle:
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The equation you're looking for is...
<span>A = P( 1 + r)^n
where P = principle amount , r = rate and n = number of years</span>