Arc length = radius* angle theta (in radians)
So angle 90 degree = 90*pi/180 radians= pi/2 radians
So arc length = 7.5* pi/2 cm = 11.8cm
So option A is correct.
With the given equation, you have to determine the defined range.
Simplify the equation using cross-multiply.
W^2=4(2w-3)
Move the expression to the left side and change its sign.
w^2-4(2w-3)=0
Next, Distribute "-4" through the parenthesis
w^2-8w+12=0
Solve by using the quadratic equation. "x= +- Sqr (b)^2-4(a)(c) / 2(a)"
-(-8)+-Sqr (-8)^2-4(1)(12) / 2(1)
solve the equation
w=8 +- Sqr of 16
You got to separate the equation into two other equations and simplify it.
w= 8+4/2 +6
w=8-4/2=2
The correct answer is 6 and 2.
Any number that can be rewritten as a simple fraction is a rational number. This means that natural numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers like 1
4. 5/6x3/5=15/30=1/2, 4/8 simplified would be 1/2 so they're the same. 6. 4/9x7/8= 28/72=7/18, 8/18x21/24= 1/6x7/3=7/18 so they're the same. :) I hope this helps