Answer:
Step-by-step explanation:
Absolute Change = final change in 2017 sales - initial change in 2016 sales = $847,000,000 - $885,100,000 = 38,100,000
Relative Change = (Final - Initial change)/initial change x 100% = 38,100,000/885,100,00 x 100% = 381/8851 x 100% = 0.0430459835 x 100% = 4.30%
Answer:
∴Given Δ ABC is not a right-angle triangle
a= AB = √45 = 3√5
b = BC = 12
c = AC = √45 = 3√5
Step-by-step explanation:
Given vertices are A(3,3) and B(6,9)
AB = 
Given vertices are B(6,9) and C( 6,-3)
= 
BC = 12
Given vertices are A(3,3) and C( 6,-3)
AC² = AB²+BC²
45 = 45+144
45 ≠ 189
∴Given Δ ABC is not a right angle triangle
Answer:
s = 130 degrees
Step-by-step explanation:
decagon has a 1,440 degrees interior angles
equation: 1,440 = s + 1310
to find s, add all the known angles
⇒ s + 150 + 170 + 160 + 130 +120 + 160 + 105 + 160 +155
⇒ s + 1,310
equation:
s + 1310 = 1440
subtract each side by 1310
⇒ s + 1310 - 1310 = 1440 - 1310
⇒ s = 130
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.
