33,104.6667 since you have to do step by step
Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
Answer:
The first three terms in the sequence are -4, -2, 0
Step-by-step explanation:
In any sequence n represents the position of the term in the sequence
<u><em>Examples:</em></u>
First term ⇒ n = 1
Second term ⇒ n = 2
Fifth term ⇒ n = 5
Let us solve our question
∵ The rule of the nth term is an = 2n - 6
→ We need to find the first three terms, means n = 1, 2, 3
∵ n = 1
∴ a1 = 2(1) - 6
∴ a1 = 2 - 6
∴ a1 = -4
∴ The first term is -4
∵ n = 2
∴ a2 = 2(2) - 6
∴ a2 = 4 - 6
∴ a2 = -2
∴ The second term is -2
∵ n = 3
∴ a3 = 2(3) - 6
∴ a3 = 6 - 6
∴ a3 = 0
∴ The third term is 0
The first three terms in the sequence are -4, -2, 0
Answer:
The rate of the volume increase will be 
Step-by-step explanation:
Let's take the derivative with respect to time on each side of the volume equation.

Now, we just need to put all the values on the rate equation.
We know that:
dR/dt is 0.04 cm/s
And we need to know what is dV/dt when R = 10 cm.
Therefore using the equation of the volume rate:


I hope it helps you!