Answer:
701 revolutions
Step-by-step explanation:
Given: Length= 2.5 m
Radius= 1.5 m
Area covered by roller= 16500 m²
Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.
Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.
Formula; Lateral surface area of cylinder= 
Considering, π= 3.14
⇒ lateral surface area of cylinder= 
⇒ lateral surface area of cylinder= 
∴ Area covered by cylindrical roller in one revolution is 23.55 m²
Next finding total number of revolution to cover 16500 m² area.
Total number of revolution= 
Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.
Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
Answer:
There are 20 vegetable plants in garden.
Step-by-step explanation:
We are given the following in the question:
Percentage of flowers = 60%
Percentage of vegetable = 40%
Number of plants in garden = 50
Number of vegetables in garden =
Number of flowers in garden =
Thus, there are 20 vegetable plants in garden.
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.
D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm
Volume of cone = 1/3 x pi x r^2 x h
where r = 5 ft and h = 16ft
Volume = 1/3 x pi x 5^2 x 16 = 400/3 π ft^3
