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natita [175]
2 years ago
8

Solve and/or check. |20x| = |4x + 16|

Mathematics
1 answer:
AfilCa [17]2 years ago
7 0

Answer:

<h2>x=1</h2>

Step-by-step explanation:

|20x|=|4x+16|

or, 20x-4x=16

or, 16x=16

Hence, x=1

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Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the
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Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z =  l × cos(θ₂)

∴  z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

6 0
3 years ago
7) In the barn there are 17 animals. Some are cows and some are ducks. There are 54 legs in all. Which system of equations below
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Answer: Either A or B

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Both A and B are the same answers, but the main answer should be

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c+d would mean how many animals are in the barn. Feel free to clarify the two same answers

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