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RoseWind [281]
3 years ago
5

: Solve the inequality and graph the solution. ​ ​ 3(x+5)>12

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

​3(x + 5) > 12

x + 5 > 12/3

x + 5 > 4

x > 4 - 5

x > -1

Graph -  SEE ATTACHMENT

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Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in
prohojiy [21]
<h2>Answer:</h2>

55°

<h2> Step-by-step explanation:</h2>

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

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2 years ago
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Find the area of the figure.
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Answer:

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Step-by-step explanation:

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