Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.
Answer: after 40 seconds, the two tanks will have the same amount of water.
Step-by-step explanation:
Let x represent the number of seconds after which both tanks will have the same amount of water.
A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is
150 - 0.5t
A second fish tank has 120 gallons and it is being filled at a rate of 1/4 gallons each second. It means that the number of gallons of water that would be in the tank after t seconds is
120 + 0.25t
For the volume of both tanks to he the same, then
120 + 0.25t = 150 - 0.5t
0.25t + 0.5t = 150 - 120
0.75t = 30
t = 40 seconds
Answer:
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Answer:
steps below
Step-by-step explanation:
To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle
1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, <u>then the segment OP becomes the hypotenuse of the right triangle.</u>
2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.
Construction:
1. connect P and circle center "O"
2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP
3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"
4. PT and PT' are the tangent lines
Rate is a ratio that compares two quantities of different units.
I'm not sure about the blanks of the Unit rate, but I do know it a comparison of two different quantities when they are put together.
I'm really sorry about that.