Answer:
Parameter of base = 70.88 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 3768 cubic inch
Height of Prism = 12 inch
Find;
Parameter of base
Computation:
Volume of cylinder = Volume of Prism
3768 = (L)(B)(H)
3768 = (L)(B)(12)
(L)(B) = 314
L = B
So.
L = 17.72 inch
B = 17.72 inch
Parameter of base = 2[l+b]
Parameter of base = 2[17.72 + 17.72]
Parameter of base = 70.88 inch (Approx.)
Answer:
x=5 and y=-2
Step-by-step explanation:
3x+5y=5
-(7x+5y=25)
-4x=-20
x=5
plug 5 into one of the equations. 3(5)+5y=5
y= -2
Answer:
perpendicular
Step-by-step explanation:
start but putting each line into the standard line format
2x-y=-5
-y=-2x-5
y=2x+5
x+2y=-6
2y=-x-6
y=-(1/2)x-3
if lines are parallel the slopes would be the same. 2 is not equal to -1/2
if lines are perpendicular the slope of one would be the opposite inverse of the other.
negative inverse of 2 = - (1/2)
so the lines are perpendicular
Answer:
25.5
Step-by-step explanation:
Use the change-of-basis identity,
to write
Use the product-to-sum identity,
to write
Redistribute the factors on the left side as
and simplify to
Now expand the right side:
Simplify and rewrite using the logarithm properties mentioned earlier.
(C)