Answer:
-![\frac{\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B6%7D)
Step-by-step explanation:
arcsin(−1/2) = -arcsin(1/2)
In the table of common values,
-arcsin of 1/2 = π/6 = -π/6
Note: Memorize the results of the common values.
Answer:
Therefore the friends will have to buy 511 feet of fence (rounding up) or 510 feet of fence ( to the nearest foot).
Step-by-step explanation:
i) perimeter of rectangular yard = 319 feet
ii) perimeter of yard of friends ![= \frac{8}{5} \times 319 = 510.4](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B8%7D%7B5%7D%20%5Ctimes%20319%20%3D%20510.4)
iii) Therefore the friends will have to buy 511 feet of fence or 510 feet of fence ( to the nearest foot).
Answer:
question 1: m = 3/2
question 2: m = 1/95
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
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given
y = 3/2 x
comparing it with y = mx+c
we have m = 3/2 .
since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0
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slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by
slope = (x2-x1)/y2-y1)
From the given table lets take two point as (2,190) and(4,380)
Thus, slope m is given by
m = (4-2)/(380-190) = 2/190 = 1/95
m = 1/95
Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given
Please mark it the brainliest.
Answer:
5/6
Step-by-step explanation:
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Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
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The difference is ...
![\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7D-%5Cdfrac%7B1%7D%7B8%7D%3D%5Cdfrac%7B5%7D%7B6%7D%5Ccdot%5Cdfrac%7B8%7D%7B8%7D-%5Cdfrac%7B1%7D%7B8%7D%5Ccdot%5Cdfrac%7B6%7D%7B6%7D%5C%5C%5C%5C%3D%5Cdfrac%7B40-6%7D%7B48%7D%3D%5Cboxed%7B%5Cdfrac%7B34%7D%7B48%7D%7D)
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<em>Additional comment</em>
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.