Answer:
r= 8
Step-by-step explanation:
Devide both sides by -4
The exact circumference is 60ft
Answer:
0
Step-by-step explanation:
The slope is the variation of the inclination of a straight line.
It's measured by calculating the variation of the y values (rise) over the variation of the x values (run). Let's take 2 points over that line: (0,-3) and (2,-3).
We see the variation of y values is 0: -3 - -3 = 0
The variation of x values is 2: 2 - 0 = 2
So, the slope is 0/2, so 0.
Horizontal lines don't have a slope because they don't vary in the y values... just like a flat land isn't a hill, there's no slope.
Answer:
71.4 in ^2
Step-by-step explanation:
area of the circles = πr^2
3.14(4x4) = 50.24 but you only have half so divide by 2
= 25.12
second circle
3.14(2x2)= 13.56 again you only have half so divide by 2
= 6.28
square
5x8 = 40
add them all up
25.12+6.28+40 = 71.4
Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants