Answer:
The left cylinder has greater than the right cylinder.
Step-by-step explanation:
Volume of a cylinder is the area of a base times the height.
As the radii are identical, the area of each base is πr²
As the left cylinder has greater height, it also has greater volume.
Answer:
D. 
Step-by-step explanation:
Area of sector of a circle is given as θ/360*πr²
Where,
r = radius = 12 cm
θ = 56°
Use 3.14 as π
Plug in the values into the formula and solve


Area of the sector ABC =
The answer is D
Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is
=
= 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)
Answer:
OPTION B - 41
Step-by-step explanation:
An expression is given and the corresponding values for the expression are also given. We have to substitute the given values to arrive at the answer.
The given expression is: x + 3y + z.
Also given: x = 4, y = 5, z = 22.
Substitute these values in the above expression, we get:
4 + 3(5) + 22 = 4 + 15 + 22 = 41.
∴ x + 3y + z = 41