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Gelneren [198K]
3 years ago
7

Solve for x open image to see

Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0

Answer:

x=15

Step-by-step explanation:

Since both lines are parallel, and one line goes through them, angle (3x+2) and 47 are congruent

3x+2=47

3x=45

x=15

Dmitry [639]3 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

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Step-by-step explanation:

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2 years ago
7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
babymother [125]

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

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48 = Ф/360  ×  \frac{22}{7} ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

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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°

7 0
3 years ago
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