Answer:
x = 22
Step-by-step explanation:
The sum of the angles round a point is 360°
Sum the given angles and equate to 360
x + 6x + 40 + 3x + 100 = 360
10x + 140 = 360 ( subtract 140 from both sides )
10x = 220 ( divide both sides by 10 )
x = 22
Answer:
|x| + 6
Step-by-step explanation:
For F= (x) substitute x with g(x) = |x| + 6
Answer:
Length of the minor arc AB = 5.27777777778 cm
Step-by-step explanation:
Here you would require a simple proportionality.
The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).
Here we can propose that the length of the minor can be equal to x.
Now let's substitute the known values:
95 / 360 = x / 20
Now cross multiply:
360 * x = 95 * 20 ⇒
360x = 1900 ⇒
x = 5.27777777778 ⇒
length of the minor arc AB = 5.27777777778 cm
We know it begins at 100. If we use a*b^t, then 100 is our a. 100*b^t. We can now divide 480 by 100. This is 4.8. 4.8 is b. f(t) = 100(4.8)^t