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4 years ago

A 3-yard piece of cotton cloth costs $18.72. What is the price per foot?

Mathematics

2 answers:

Basile [38]4 years ago

8 0

18.72÷(3x3)
18.72÷9
$2.08 per foot

Brums [2.3K]4 years ago

7 0

1 yard = 3 feet
3 × 3 = 9
3 yards = 9 feet

9 feet = $18.72
9x = 18.72
Divide both sides by 9.
x = 2.08

Answer: The price per foot is $2.08.

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3 years ago

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mote1985 [20]

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Step-by-step explanation:

Recall the formula for the sine of the double angle:

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we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$

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3 years ago