Let
C---------> the circumference of a circle
D---------> diameter of a circle
r----------> radius of a circle
we know that
C=2*pi*r
D=2*r
so
C=D*pi-------------> pi=C/D
<span>Pi is defined as the ratio of the circumference of a circle to the diameter of that Circle
when you multiply the diameter in both numerator and denominator
pi*D=(C/D)*D------> pi*D=C
and the diameter is two times the radius
so
D=2*r
C=pi*D------> C=pi*(2*r)-----> C=2*pi*r
therefore
the answer is the option D
</span>Two times r equals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference
Answer:
Length = 225 ft
Width = 150 ft
Step-by-step explanation:
If L is the length and W is the width, then:
900 = 2L + 3W
A = LW
Solve for W in the first equation:
3W = 900 − 2L
W = 300 − ⅔ L
Substitute into the area equation:
A = L (300 − ⅔ L)
A = 300L − ⅔ L²
Use calculus to find dA/dL and set to 0, or use the formula for vertex of a parabola.
Using calculus:
dA/dL = 300 − 4/3 L
0 = 300 − 4/3 L
L = 225
Using vertex formula:
L = -b / (2a)
L = -300 / (-4/3)
L = 225
Find the width:
W = 300 − ⅔ L
W = 150
You got the right answers, but the problem says to assume that the length is greater than the width.
Answer:
x = -1.8
Step-by-step explanation:
10(-1.8) - 2 = -18 - 2 = -20
so X = -1.8
Answer:
y=339
Step-by-step explanation:
Answer:
-512
Step-by-step explanation:
(-8)³ is the same is -8·-8·-8 so -8 times -8 is 64 times -8 is -512
I hope this helps and please don't hesitate to ask if there is anything still unclear!
