<h3>
Answer:</h3>
c) 7π cm
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Step-by-step explanation:</h3>
The length of an arc (s) is related to its central angle (θ) and the radius of the circle (r) by ...
... s = rθ . . . . . . . . . θ in radians
Here, the central angle measures are given in "grads". There are 400 grads in a circle, so 200 grads in π radians. To convert grads to radians, we multiply the number of grads by π/(200g).
Then the lengths of the arcs are ...
... arc AB = (20 cm)·(50g·(π/(200g))) = 5π cm
... arc BC = (10 cm)·(40g·(π/(200g))) = 2π cm
E = arc AB + arc BC = 5π cm + 2π cm = 7π cm
Answer: 20.57142857
Step-by-step explanation:
148 = 3x + 3 + 4x + 1
Step one: combine like terms
148 = 7x + 4
Step 2: Subtract the 4 over to 148
144 = 7x
Step 3: Divide 7 on both sides
20.57142857 = x
An increase of 2% per year means the population is multiplied by 1.02 each year. Your exponential function with a base of 1.02 and a scale factor of 5.3 (billion) will look like this:
... q(t) = 5.3×1.02^t
|2x-3|=2x-1
need to consider two cases
(1) 2x-3<0 --> x<3/2
-(2x-3)=2x-1
x=1, and this is <3/2 so that's a valid solution
(2) 2x-3>=0 --> x>=3/2
2x-3=2x-1
-3 = -1 so there no solution for x>=3/2
The single solution is x=-1
Thirty nine divided by one thousand
