In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.
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Answer:
y = 9x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)
m = =
= 9, thus
y = 9x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 61), then
61 = 72 + c ⇒ c = 61 - 72 = - 11
y = 9x - 11 ← equation of trend line
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
Learn more:
You can learn more about the area of the sector in brainly.com/question/3456442
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