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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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We know that one dozen is 12 so with that all we need to do is divide $1.98 by 12 and get the unit price. The price for one egg is .165 cents.
Probably the easiest way to do these is to convert them to slope intercept form by solving for y. When we have y=mx+b, we read off the slope m.
-5x + 2y = 10
Add 5x to both sides,
2y = 5x + 10
Divide both sides by 2,
y = (5/2) x + (10/2)
Obviously 10/2=5 but we don't care about that for this problem. We read off the slope as
Answer: 5/2, last choice
12 = 4x - 6y
Adding 6y and subtracting 12,
6y = 4x - 12
Dividing by 6,
y = (4/6) x - (12/6)
y = (2/3) x - 2
Answer: 2/3
Answer:
(-7)∧-1
Step-by-step explanation:
(-7)^3 / (-7)^4
taking each and simplifing it
-7³ = -7 x -7 x -7
(-7)∧4 = -7 x -7 x -7 x -7
(-7)^3 / (-7)^4 = (-7 x -7 x -7 ) / ( -7 x -7 x -7 x -7) = 1/-7
1/-7 ( 1/ means raise to power -1)
1/-7 = (-7)∧-1
