Answer:
Step-by-step explanation:
v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h
vE = 20sin36º + 10 = 21.76 mi/h
vN = 20cos36° = 16.18 mi/h
v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h
θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east
Answer:
y = -7/2x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -7/2 x+b
Substitute the point into the equation
-4 = -7/2(2) +b
-4 = -7+b
Solving for b
-4+7 = -7+b+7
3 = b
The equation is y = -7/2x+3
Answer:
Length of rectangle = 14 meters
width of rectangle = 8 meters
Step-by-step explanation:
Let the length of rectangle be x meters
width of the triangle is (x - 6) meters
Area of the rectangle is Length x width
112m² = x * (x -6)
112 = x² - 6x
x² - 6x - 112 = 0
x² - 14x + 8x - 112 = 0
x (x - 14) + 8 ( x - 14) = 0
(x - 14)(x + 8) = 0
x - 14 = 0 x + 8 = 0
x = 14 x = -8
width can't be negative value
Therefore,
Length of rectangle = 14 meters
width of rectangle = 14 - 6 meters
= 8 meters
Answer:
a. 1965
b. 8 years
Step-by-step explanation:
For answers to questions like these it can work to consider the smallest possible dataset.
<h3>Dataset</h3>
For our purpose, consider the 9 years/values to be averaged to be ...
1, 2, 3, 4, 5, 6, 7, 8 ,9
<h3>Observations</h3>
a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.
The first centered value is from the year 1961 +4 = 1965.
b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.
8 years of values are lost.
