Using the law of sines:
Sin (angle) = opposite leg / hypotenuse
Sin(30) = 14 /x
x = 14 * sin(30)
x = 28
Volume of a cone (V) = (1/3) · π · r² · h
270 = (1/3) · π · r² · h
810 = π · r² · h
(810)/(π · r²) = h
257.83/r² = h
Answer:
g(n) = 180 - 20(n-1)
Step-by-step explanation:
Since your has its g(1) value as 180, we put 180 in front. Then, we subtract 20 multiplied by n-1, n being the sequence number. For example, if the recursive function has recursed 3 times, we do 3-1, which is 2. We multiply 2 with 20, which is 40. Finally, we subtract 40 from 180, which is 140. This equation is equivalent to g(3) = 180 - 20(3-1). When the sequence has g(3), we clearly see the answer is 140. When we look at the sequence, the third number is 140, proving this equation correct.
Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5