Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
Answer:
Halogen
Step-by-step explanation:
Halogen is a little more efficent but not as efficient as LED lighting.
Answer:
25
Step-by-step explanation:
ABC is a right angle so ABD and DBC are <em>complementary angles</em> and their sum is equal to 90:
x + 55 = 90 subtract 55 from both sides
x = 25
Answer:
V = 314
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
r = 5
h = 12
Work:
V = πr²(h/3)
V = 3.14(5²)(12/3)
V = 3.14(25)(4)
V = 314
