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Vaselesa [24]
3 years ago
7

Which number line represents the solution set for inequality?

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

Third graph down

Step-by-step explanation:

2x -6 ≥ 6(x-2)+8

Distribute

2x - 6≥6x -12+8

Combine like terms

2x - 6≥6x -4

Subtract 2x from each side

2x-6-2x ≥6x-2x-4

-6 ≥4x-12

Add 4 to each side

-6+4 ≥4x-4+4

-2 ≥4x

Divide by 4

-2/4 ≥4x/4

-1/2≥x

Closed circle at -1/2

Line going the the left

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Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

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x ≈ 58° (to nearest whole number)

b. Opposite side = x

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Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

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40*sin(14) = x

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Tan θ = opposite/adjacent

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θ = a = 43.71

a ≈ 44° (to nearest whole number)

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