Answer:
= 39 - 10n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
19 - 29 = 9 - 19 = - 10
This indicates the sequence is arithmetic with nth term ( expicit formula )
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = - 10 , then
= 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n
To convert the angle in radian measure to degree measure, multiply it by 180/π.
The given angle in radian measure is 257π/360 . Multiply it by 180/π to get the angle in degrees.
So,
The angle in degrees = 257π/360 x 180/π = 257/2 = 128.5 degrees
16. LCD: 48 because 1/4= 12/48, 1/12=4/48, 11/16= 33/48 and they all share 48 as the denominator
17. LCD: 168 because 5/56= 15/168, 7/24= 49/168, 7/12= 98/168, 5/42= 20/168
18. LCD: 30 because 2/1= 60/30, 1/5= 6/30, 1/10= 3/30, 5/6= 25/30
Answer:
Step-by-step explanation:
To find the slope of the perpendicular line, we must first find the slope of the given line.
This can be done by rearranging the equation into the slope intercept form.
2x +3y= -3
3y= -2x -3
y= -⅔x -1
Thus, the slope of the given line is -⅔.
The slope of the perpendicular line is the negative reciprocal of the given line.
Slope of perpendicular line
What is slope-intercept form?
- y= mx +c, where m is the slope and c is the y-intercept
- This can be achieved by making y the subject of formula
Negative reciprocal
- The reciprocal of m is
- The negative reciprocal of m is
Negative reciprocal of -⅔
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1lbs = 30min
<h3>= 5.34lbs × 30mins</h3><h3>= 160.2mins</h3><h3>= 160.2mins ÷ 60mins</h3><h3>= <u>2.67hrs</u></h3><h3>It Should Take Mrs. Jones 3hrs & 7mins</h3>
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