Answer:
16,767
Step-by-step explanation:
Geometric sequence formula: an = ar^n-1
Now, we just plug in the values.
an = 23(3)^7-1
an = 23(3)^6
an = 23(729)
an = 16,767
Answer:
a ≈ 21.8
Step-by-step explanation:
We require the third angle in the triangle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°
Using the Sine rule, that is
= 
( cross- multiply )
a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )
a = 
≈ 21.8 ( to the nearest tenth )
On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.
- 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
- 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Thus making 40 and 80 the answers. I hope this helps!
