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rosijanka [135]
3 years ago
12

solve each equation. Round your answers to the nearest ten-thousandth. Show your work please. Part 2A​

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer:

16. x = 3.0822, -3.0822

17. x = 1.6432, -1.6432

18. x = 1, -1

Step-by-step explanation:

16. log5[(4x²+2)/8] = 1

(4x²+2)/8 = 5¹

4x² + 2 = 40

4x² = 38

x² = 38/4

x² = 19/2

x = +/- sqrt(19/2)

x = 3.0822, -3.0822

17. log7[(2x²-4)(5)] = 1

10x² - 20 = 7¹

10x² = 27

x² = 2.7

x = +/- sqrt(2.7)

x = 1.6432, -1.6432

18. log5[(2x²+8)/2] = 1

x² + 4 = 5¹

x² = 1

x = +/-1

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Answer:

The height of the seat at point B above the ground is approximately 218.5 feet

Step-by-step explanation:

The given parameters are;

The radius of the Ferris wheel, r = 125 feet

The angle between each seat, θ = 36°

The height of the Ferris wheel above the ground = 20 feet

Therefore, we have;

The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel

∴ The height of the midline = 20 feet + 125 feet = 145 feet

The height of the seat at point B above the ground, h = r × sin(θ) + D

By substitution, we have;

h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)

The height of the seat at point B above the ground, h ≈ 218.5 feet.

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Answer:

You already did the question.

Step-by-step explanation:

What's there to simplify?

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It's just recursive.

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