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3 years ago

Convert 8.132132132 … to a rational expression in the form of a over b, where b ≠ 0.

1 answer:

7 0

$8.13213213213232....=8+\sum_{i=1}^{\infty}\frac{132}{10^{3i}}=8+\frac{\frac{132}{10^3}}{1-\frac{1}{10^3}}=8+\frac{132}{999}=\frac{8124}{999}$

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Distribute
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4x(less than) -10

divide 4 both sides
x(less than)-2.5

(Final answer is bold) Good luck

7 0

3 years ago

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What is equivalent to 31/50 in fraction form

tigry1 [53]

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3 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

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2 years ago

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BigorU [14]

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avanturin [10]

Try solving for the variable and get everything to one side

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