Answer:
256 in²
Step-by-step explanation:
Answer:
113.04 cubic units. ".04" is four hundredths.
(the units are not given here. They could be cubic feet, cubic inches, cubic meters, cubic centimeters. or other measurements.)
Step-by-step explanation:
To find volume we need to multiply the area of the base times the height.
The base of a cylinder is a circle.
The area is πr²
The given radius here is 3
3² is 9
π × 9 using 3.14 is 28.26
Multiply that area by the given height, 4
28.26 × 4 = 113.04
The volume if this cylinder is 113.04 cubic units.
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.
Answer:
5π m
Step-by-step explanation:
Using the pythagorean theorem we can figure out that the third side is 5m
A^2 + B^2 = C^2
3^2 + 4^2 = C^2
9 + 16 = C^2
25 = C^2
√23 = √(C^2)
C = 5m
Side C is also the diameter of the circle, so the radius is 5/2, or 2.5
From that we can use the circumference formula, Circumference = 2π<em>r</em>
Circumference = 2 π (2.5) = <u>5π m</u>
Answer:
y + 3 = (-1/2) x
Step-by-step explanation:
2x-y=-7
-y=-2x-7
y=2x+7
Slope m1= 2, perpendicular slope m2= -1/2
Equation of a line with perpendicular slope m2 and a point (0,-3) is
y - (-3) = (-1/2)(x - 0)
y + 3 = (-1/2) x
2y + 6 = - x