Answer:
Volume of the cylinder is. 1017.36
Step-by-step explanation:
is the area of a cylinder.
Let's plug in our values.
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3.14 = pi
9 = radius
x = height
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V = (3.14)(9)^2(4)
V = (3.14)(81)(4)
V = (3.14)(324)
V = 1017.36
Answer:
x = 45
Step-by-step explanation:
Straight line has 180 degrees; so if you add all the angles up:
2x + x + x = 180
4x = 180
x = 45 degrees
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer: 
Step-by-step explanation:
Given
Azmyne decided to study a total of 
She spent 
on Friday and 
on Saturday
Hours spent on Friday
Hours spent on Saturday
She must study for
X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
