Let x and y represent the smaller and larger numbers, respectively.
y - x = 5 . . . . . the difference is 5
3y = 4x + 6 . . 3 times the larger is 4 times the smaller plus 6
Add x to the first equation to get an expression for y.
y = x + 5
Use that in the second equation.
3(x + 5) = 4x + 6
3x + 15 = 4x + 6 . . . . . eliminate parentheses
9 = x . . . . . . . . . . . . . . add -3x-6
y = x+5 = 14
smaller number: 9
larger number: 14
Answer:
Draw a perpendicular line from point A to line segment BC. Name the intersection of said line at BC “E.” You now have a right angled triangle AED.
Now, you know AD = 6 m. Next, given that the trapezoid is a normal one, you know that the midpoints of AB and DC coincide. Therefore, you can find the length of DE like so, DE = (20–14)/2 = 3 m.
Next, we will use the cosign trigonometric function. We know, cos() = adjacent / hypotenuse. Hence, cosx = 3/6 = 1/2. Looking it up on a trigonometric table we know, cos(60 degrees) = 1/2. Therefore, x = 60 degrees.
Alternatively, you could simply use the Theorem for normal trapezoids that states that the base angles will be 60 degrees. Hope this helps!
Answer:
16
Step-by-step explanation:
48/12=4 bottles per day
4x4=16
Answer:
a. 47.6mph (distance divided by time = speed. divide each rowers distance by their speed, then add them all)
b. 1.26 minutes per mile (i used a calculator so i dunno how to explain)
let me know if this is right or not :)
Answer:
μ = 1.3468
Step-by-step explanation:
Given data:
Observations
0.85
0.88
0.88
1.06
1.09
1.12
1.29
1.31
1.42
1.49
1.59
1.62
1.65
1.71
1.76
1.83
sum of the observations = 21.55
now,
the total number of the given data, n = 16
now, the mean is given as:
Mean = (Sum of all the observation) / (Total number of observations)
on substituting the values in the above formula, we get
Mean = 21.55 / 16
or
Mean = 1.3468
Since, it is given that the data follows normal distribution.
thus, the normal mean can be used as the point of estimator (μ)
i.e μ = 1.3468
