Answer:
72
Step-by-step explanation:
You use Pythagorean Theorem to to find the missing side which in this case is 6 and since and then from there you just add
The answer is the fraction is 66/100 or simplified, 2/3<span />
The radius of a circleis part of the circumference formula: C = 2 pi r.
So we rearrange the formula: r = c/2 pi.
Now we have to figure out the circumference. If the outside of the circle is 12 cm for 17degrees, then17 degrees x what is 360 degrees? 360 divided by 17 is 21.2. So the 12 cm should be multiplied by 21.2, to give 254.1cm. This is our circumference.
Now we do r = 254/2 pi.
r = 40.46cm.
First, solve f(x)=4x-3x^2=0,
or
x(4-3x)=0
=>
x=0, x=4/3
The area enclosed by the parabola over the x-axis is therefore
A=integral f(x)dx from 0 to 4/3=[2x^2-x^3] from 0 to 4/3 = 32/27
Let the line intersect the parabola at a point (a,f(a)) such that the area bounded by the line, the parabola and the x-axis is half of A, or A/2, then the area consists of a triangle and a section below the parabola, the area is therefore
a*f(a)/2 + integral f(x)dx from a to 4/3 = A/2 = 16/27
=>
2a^2-3a^3/2+a^3-2a^2+32/27=16/27
=>
(1/2)a^3=16/27
a=(32/27)^(1/3)
=(2/3)(4^(1/3))
=1.058267368...
Slope of line is therefore
m=y/x=f(a)/a=4-2(4^(1/3))
=0.825197896... (approx.)
A- 40/100 = x/25
I know this because 40% out of 100 and x/25 are how many students will get it.