Answer:
Cone volume = [PI * radius ^ 2 * height] / 3 therefore,
Cone height = [3 * Cone Volume] / (PI * radius^2)
Step-by-step explanation:
The answer is 3/4 and it was already simplified
Answer:
what is the step by step of 1/ cos x csc^2 x = sin x/ cot x
Step-by-step explanation:
1
.
csc
x
=
1
sin
x
2
.
cot
x
=
cos
x
sin
x
Given,
1
−
cos
x
sin
x
=
csc
x
−
cot
x
Simplify the right side.
csc
x
−
cot
x
=
1
sin
x
−
cos
x
sin
x
=
1
−
cos
x
sin
x
∴
, LS
=
RS.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Subtract 12x from 84x = 72x
