Answer:
1. 0.30
2. 1.20
3. 7.50
Step-by-step explanation:
1. 0.30
2. 1.20
3. 7.50
The area swept by the minute hand in 12 minutes is 181.58 cm²
Step-by-step explanation:
In the circle clock
- The circumference of the circle is divided into 12 equal arcs
- The central angle of each arc is 30°, because the measure of the circle is 360° and divided by 12
- The central angle between each two consecutive hours is 30°
- There are 5 minutes between each two consecutive hours, then the central angle between each two consecutive minutes is 6° because 30° ÷ 5 = 6°
- When the minute hand is moved than the radius of the circle is the length of the minute hand
- When the hour hand is moved than the radius of the circle is the length of the hour hand
∵ The minute hand is swept by 12 minutes
∵ The central angle between each two consecutive minutes = 6°
∴ The central angle when the minute hand swept 12 minutes =
6 × 12 = 72°
∵ The area of a sector of a circle =
,
where r is the radius of the circle and x is the central angle of
the sector
∵ The radius of the circle is the length of the minute hand
∵ The minute hand in a clock is 17 cm long
∴ r = 17 cm
∵ The measure of the central angle is 72°
∴ x = 72°
- Substitute these values in the rule of the area of a sector
∵ Area = 
∴ Area = 181.58 cm²
The area swept by the minute hand in 12 minutes is 181.58 cm²
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Solution:
we have been asked to find that , how many times one number is to the other given numbers.
To do this we will divide the larger number by the smaller number and the resulting number will be the answer of the question.
Here the larger number is 
The smaller number is 
Now lets divide as follows

Hence the correct option is C.
yeah, they probably are because 360-130-50=180 and both of the angles look like they could be 90 degrees
The equation of line perpendicular to given line is:

Step-by-step explanation:
Given equation is:

First of all, we have to find the slope of the given line
So,

Dividing both sides by 2

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

As we know that product of slopes of two perpendicular lines is -1
Let m-2 be the slope of line perpendicular to given line

Slope-intercept form is:

putting the value of the slope

Putting the point (3,1) in the equation

Putting the value of b

Hence,
The equation of line perpendicular to given line is:

Keywords: Slope-intercept form, slope
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