Answer:
The first option is correct, 12/30 and 25/30
Step-by-step explanation:
To get common denominators, you need to find the GFC (greatest common factor) of 5 and 6, which is 30. Then you would need to make the fractions equal the same as the original fractions, by multiplying.
2/5 = ?/30 <- you can see that 30 is 6 times more than 5. so this means you multiply 2 by 6 to get 12. 12/30
5/6 = ?/30 <- you can see that 30 is 5 times more than 6. so this means you multiply 5 by 5 to get 25. 25/30
Area of square = 10x10
= 100
area of circle = pi(r)^2
= pi (5)^2
=25pi
area of shaded = 100 -25pi
circumference of circle = 2pi (r)
= 2pi(5)
= 10pi
perimeters of shaded = 10pi + 10 + 10
= 10pi +20
Tan(θ) = 3 tan(θ), 0° ≤ θ ≤ 360°
Solve for θ to the nearest degree.
tan(θ) = 3 tan(θ)
Subtract tan(θ) from both sides:
0 = 2 tan(θ)
Divide by 2 both sides:
tan(θ) = 0
If (x,y) is a point on the terminal ray of θ,
then tan(θ) = y/x = 0, and y = 0.
y = 0 ==> θ = 0°, 180°, or 360° in the interval 0° ≤ θ ≤ 360°.
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Fiona is correct- if a shape dilated by a fraction it’s always smaller, unless in the fraction the bigger number is on top. So if it’s more than 1 the shape gets bigger. And if it’s less than one it always gets smaller. Hope this didn’t confuse you even more.
