129 degrees is the correct answer for the missing angle number 1 :)
<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
Answer:
Total distance traveled = 56 m
Total displacement is 12 m
Direction of coach is westward
Step-by-step explanation:
It is given that football coach first go 12 meter westward then 16 meter eastward.
So no position of coach in eastward direction = 16 - 12 = 4 m
And then 22 m west westward
Therefore position of coach now is 22-4 = 18 m westward
And finally 6 m eastward
Therefore final position of coach is 18-6= 12 m westward
So displacement of coach is 12 m and direction is westward.
Total distance traveled = 12+16+22+6= 56 m
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
