Answer:
Use the cosine rule
Step-by-step explanation:
1. Apply formula of c^2 = a^2 + b^2 - 2abcosC
2. Substitute known values in: c^2 = 36 + 4900 - 840cos120
3. Apply algebra and use the calculator
4. Final answer is 73.18 (2 decimal places)
210,064,050 Is the standard form.
Answer:
192
Step-by-step explanation:
The sum of the first 3 terms of the A. P is
a + a + d + a + 2d = 18, that is
3a + 3d = 18 ← substitute a = 4
12 + 3d = 18 ( subtract 12 from both sides )
3d = 6 ( divide both sides by 3 )
d = 2
Thus the first 3 terms are
4, 6, 8 and their product = 4 × 6 × 8 = 192
Answer:
<em> n = 13 </em>
Step-by-step explanation:
= 
+ (n - 1)d
= 3 + 7(n - 1) (for the first AP)
= 63 + 2(n - 1) ( for the second one)
3 + 7(n - 1) = 63 + 2(n - 1)
3 + 7n - 7 = 63 + 2n - 2
5n = 65
<em>n = 13</em>
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!
