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solniwko [45]
3 years ago
11

Solve for k. 5(k+4)<–5

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

k < -5

Step-by-step explanation:

5(k+4)<–5

Divide each side by 5

5/5(k+4)<–5/5

k+4 < -1

Subtract 4 from each side

k+4-4 < -1-4

k < -5

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Answer:

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Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

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we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  \frac{22}{7} × (3.5)²

48 = Ф/360  ×  \frac{22}{7} ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

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