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We are asked to evaluate 
.
- The notation |x| denotes absolute value.
The absolute value of a number is its distance from zero.
Absolute value is always positive; distances can't be negative, right?
So we need to find the absolute value of 98, which is:
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Answer: c
Step-by-step explanation:
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
The general equation of a line is:
When m is the gradient and x1 and y1 are the coordinates of the points on the line
Therefore:
Answer:
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
Step-by-step explanation:
Let the number of rainbow sticker be x and number of balloon stickers be y.
Cost a single rainbow sticker= 6 cents
Cost a single balloon sticker= 4 cents
Cost a single x rainbow sticker= 6 cents × x
Cost a single y balloon sticker= 4 cents × y
Total number of stickers bought = 14
x + y =14 ..[1]
Total money spend on stickers = 68 cents
6x cents+4y cents=68 cents
...[2]
Putting value of from [1] into [2];
x = 14 - y
x = 14 -y =14 - 8 = 6
Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.
