Answer:
The heights are the same after 4 hours.
Step-by-step explanation:
The red candle burns at a rate of 7/10 inches per hour. In t hours, (7/10)t inches have burned. The height of the candle after t hours is 8 - (7/10)t.
The blue candle burns at a rate of 1/5 inch per hour. In t hours, (1/5)t inches have burned. The height of the candle after t hours is 6 - (1/5)t.
You need to find the time, t, when their heights are equal.
8 - (7/10)t = 6 - (1/5)t
Multiply both sides by 10 (the LCD).
80 - 7t = 60 - 2t
-5t = -20
t = 4
The heights are the same after 4 hours.
Geometric mean is just the two numbers multiplied together under a square root sign
So you get 6
Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒ 
where 
represents radius of the pond.
Thus, we have:
⇒ 
Using 
⇒ 
Solving for
Dividing both sides by 3.14
⇒ 
⇒ 
Taking square root both sides.
⇒ 
⇒ 
So, radius = 5 yd, as distances are always positive.
Diameter = 
Thus, diameter of pound = 10 yd
Slope is the rise and run of a point on the graph to the other
the y intercept is where a line crosses the y axis for example, (0,5) so 5 is the y intercept
(0,8), (1,10), (2, 12), (3, 14), (4, 16), (5, 18)
