Answer : =
Step - by - step explanation :
6 3/6 -- simplest form --> 6 1/2
6 6/12 -- simplest form --> 6 1/2
we will select each options and find zeros
(a)

for finding x-intercept , we can set g(x)=0
and then we can solve for x

now, we can factor it

we get

so, this is TRUE
(b)

we can set it to 0
and then we can solve for x

we get

so, this is FALSE
(c)

we can set it to 0
and then we can solve for x




so, this is TRUE
(d)

now, we can set it to 0
and then we can solve for x


so, this is TRUE
(e)
we have

now, we can set it to 0
and then we can solve for x



so, this is FALSE
The answer of above equation is f
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2