Answer:The numbers are 8 1/3, 9 1/3, and 10 1/3
Step-by-step explanation:
Using a calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:
a. y = −1.74x + 46.6
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (x,y) are given as follows, from the given table:
(1, 46), (2, 42), (3,40), (4, 41), (5, 38), (6,36).
Hence, inserting these points in the calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:
a. y = −1.74x + 46.6
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Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
Answer:
904.9 in^3
Step-by-step explanation:
Given data
We are told that the ball is 12 inches in diameter
R= diamter/2= 12/2= 6 in
The volume of a sphere is given as
V= 4/3πr^3
substitute
V= 4/3*3.142*6^3
V= 4/3*3.142*216
V=2714.688/3
V=904.9 in^3
Hence the volume is 904.9 in^3
Answer:
Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Step-by-step explanation:
Triangular Proportionality Theorem states that:
- If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Let us consider the triangle ΔABC as shown in attached figure.
If
║
then
Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Keywords: Triangle Proportionality Theorem, triangle, line segment
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