Answer:
c = <u>0.5 cm</u>
Step-by-step explanation:
Using the Sine rule in the triangle, then
= ( cross- multiply )
c × sin105° = 2 × sin15° ( divide both sides by sin105°
c = ≈ 0.5 cm ( to the nearest tenth )
Answer:
5 days
Step-by-step explanation:
1/2 + 1/2 = 3 (2 days) times by 2 makes it 4 days and finally 5th day 7 1/2
Answer:
3 gulps
Step-by-step explanation:
In this problem, f(x) = 3. Plug this into the equation:
3 = -3x + 12
Solve for x:
3 - 12 = -3x + 12 - 12
-9 = -3x
-9 / -3 = -3x / -3
3 = x
3 gulps
Might have to experiment a bit to choose the right answer.
In A, the first term is 456 and the common difference is 10. Each time we have a new term, the next one is the same except that 10 is added.
Suppose n were 1000. Then we'd have 456 + (1000)(10) = 10456
In B, the first term is 5 and the common ratio is 3. From 5 we get 15 by mult. 5 by 3. Similarly, from 135 we get 405 by mult. 135 by 3. This is a geom. series with first term 5 and common ratio 3. a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.
Can you now examine C and D in the same manner, and then choose the greatest final value? Safe to continue using n = 1000.
The answer to question 5 is D.5 and the answer to question 9 is (-2,-6)
