Since an equilateral triangle has 3 equal length sides, and in this case the total of these 3 sides is 24cm, the length of one side is 24/3 = 8cm
Circumference = πD
30π = πD
D = 30 inches
Answer: 30 inches
Answer:
It's like solving a quadratic, but in reverse, and in this case you'll arrive at x2+x−12=0
Explanation:
We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:
Let's start with the roots:
x=3, x=−4
So let's move the constants over with the x terms to have equations equal to 0:
x−3=0, x+4=0
Now we can set up the equation, as:
(x−3)(x+4)=0
We can now distribute out the 2 quantities:
x2+x−12=0
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
The given equation is:
a = 1300 (1.02) ^ 7
Where,
b = 1.02
It represents a growth of 2% on the initial amount.
Answer:
1.02 represented in this equation a growth of 2% on the initial amount.
Answer: The distace between midpoints of AP and QB is 
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ = 
QB =
Substituing:
AP + 2*() = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB =
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:
<u>Midpoint of QB</u>:
The distance is:
d = 
d =
