Answer:
x = 41 degrees
Step-by-step explanation:
supplement of 73 = 107 degrees
x = 180 -107 - 32 = 41 degrees
Answer:
y = -3x + 1
Step-by-step explanation:
Plug in your x (2) and y (-5) values into your slope-intercept formula (y=mx+b).
-5 = -3(2) +b
Solve for b:
-5 = -3(2) + b
-5 = -6 + b
1 = b
Plug in the value of <em>b, </em>and<em> </em>the slope (-3) for the formula:
y = -3x + 1
She would have to take 5.29 miles to save round-trip if she had taken the direct route.
<h3>What is the
Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs.
Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route.
Let's consider x to be the direct route.
By Pythagoras theorem, we can find the direct route
Thus, She would have to take 5.29 miles to save round-trip if she had taken the direct route.
Learn more about Pythagoras theorem;
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9514 1404 393
Answer:
19.0 cm
Step-by-step explanation:
The length of each arc is given by ...
s = rθ
where r is the radius of the arc, and θ is its central angle in radians.
The sum of the two arc lengths is ...
s1 +s2 = (8 -4.5)(50(π/180)) +(8)(50(π/180)) = (16 -4.5)(5π/18) ≈ 10.0356
The sum of the two straight sides is ...
2·4.5 = 9.000
So, the perimeter is ...
P = arc lengths + straight sides = 10.0356 cm + 9.0000 cm ≈ 19.0 cm
Find the mean absolute deviation for the data set. {3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6}
Ratling [72]
Answer:
0.50
Step-by-step explanation:
The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15
= 53/15
= 3.533
Difference of values from the mean:
<u> n </u> <u> n - 3.533</u> (Absolute value)
3 0.533
3 0.533
6 2.467
3 0.533
2 1.533
2 1.533
1 2.533
0 3.533
0 3.533
4 0.467
4 0.467
5 1.467
5 1.467
6 2.567
7 3.467
Totals:
53 26.533
So the M.A.D. = 26.533 / 53 = 0.50