Answer:
68 miles
3 hours
Step-by-step explanation:
340/5=68
204/68=3
Answer:
The difference is <em>2 inches</em>
Step-by-step explanation:
Firstly, we identify the equation as given in the question;
y = 1.42105x - 32.2632
We need to know which of the two is the dependent variable i.e y-value and which is the independent variable x-value between the brothers' heights and the sisters' heights. To do this, we have to start with an assumption and check which of the two is for the brothers' or for the sisters,
Let's say the brothers' heights is x, we select any of the data points; (68,64)
we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632= 64.3682
We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.
Now, let's plug the values for the 71 inches heights
y = 1.42105(71) - 32.2632 = 68.63 approximately 64
In the table, we can see that the predict sister height at that particular data point is 71 inches. The difference between the predicted height and the actual height is thus 71-69 = 2 inches
Answer:
d
Step-by-step explanation:
the angle is less than 90 degrees
Firstly, we will draw figure
now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle
because of opposite sides of rectangle ABMD are congruent
so,
DM=AB=9
CM=CD-DM
CM=18-9
CM=9
now, we can find BM by using Pythagoras theorem
now, we can plug values
we get
now, we can find area of trapezium
now, we can plug values
and we get
so, area of of the trapezoid is 
..........Answer
The constant term in the equation is -20 because you will always be subtracting 20 no matter how big x is
