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3 years ago

7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it

Mathematics

1 answer:

babymother [125]3 years ago

7 0

Answer:

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

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

Ф =? area of the sector= 48 cm² π = $\frac{22}{7}$

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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Answer:

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Step-by-step explanation:

Given

Perpendicular lines a and b

Required

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Represent the slope of line a with $m_1$ and the slope of b with $m_2$ .

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To solve further, we need to analyze each of the given options

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(d) This is also true because perpendicular lines form right angles when they intersect

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We have the following points:

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We find the slope:

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How can we find value?

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