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Ne4ueva [31]
3 years ago
13

A light-year is 5.9 x 10^12 miles. A mile is approximately 6.34 x 10^4 inches. About how many inches are in a light-year? Write

your answer in scientific notation. Solve and explain.
Mathematics
1 answer:
NeTakaya3 years ago
3 0
The answer would be 3.7406 × 10^17. Because when multiplying the constant you would get 37.406 and then you add the exponent and add one more since only one decimal can be over the decimal.
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Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

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Volume of water = cross-sectional area * length

13.5 * 30 cm³

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