Answer:
r=9
Step-by-step explanation:
13r=117
r=117/13
r=9
Rotational symmetry = 360 / # sides
rotational symmetry = 360 / 9
rotational symmetry = 40 degrees
Answer: Rate of change of Area of the triangle = 2.75cm~/min
Step-by-step explanation:
If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.
Therefore height equals 22 - 20 = 2cm four minutes earlier.
Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.
The Area of a triangle is given by
A = 1/2 × base × height
Therefore Area= 1/2× 10×22 = 110cm~
Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min
Presuming we don't care how to pronounce the words and they can repeat we have
10 possible for the first position
10 possible for the second position
10 possible for the third position
So: 10 x 10 x 10 = 10^3 or 1,000 possible words
Answer:
see explanation
Step-by-step explanation:
Note there is a common ratio between consecutive terms of the sequence, that is
- 450 ÷ 15 = 13500 ÷ - 450 = - 405000 ÷ 13500 = - 30
Thus to obtain the next term in the sequence multiply the previous term by - 30
start with 15 and multiply by - 30