Answer:
The length of the arc is 1.0467
Step-by-step explanation:
First of all to solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 3
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 3
c = 18.84
The length of the circumference is 18.84
Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents
20° / 360° = 1/18
Now we multiply this fraction by the circumference and obtain the length of the arc
1/18 * 18.84 = 1.0467
The length of the arc is 1.0467
It could be 5000 and 2, because 2 is a single digit and the product equals 10000.
Answer:
480
Step-by-step explanation:
there are 60 minutes in an hour, so multiply 8x60=480
Hey!
First, we have to break 32 into its primes.


Since we don't want an odd number, we can split it into two.


Since we want to remove one of the square roots, we have to do something like this:

We would be left with,

Simplify the exponent.
This tells us that the square root of 32 can be simplified.Thanks!
-TetraFish
Answer:
k = 4
Step-by-step explanation:
From the graph, it is clear that (4,10), (2,0) points are on the graph of function f(x).
Since, it is a straight line then equation of f(x) is given by
⇒
⇒ y = 5x - 10.
Hence, f(x) = 5x - 10
Given that g(x) = f(kx) = 5kx - 10 and g(x) passes through (1,10) point.
So, 10 = 5k - 10
⇒ 5k = 20
⇒ k = 4 (Answer)