A point (-0.8, 0.6) will be a point on the unit circle in the second quadrant. Since it is a unit circle, its radius is 1, and we have
sin(α) = y = 0.6
cos(α) = x = -0.8
tan(α) = y/x = 0.6/-0.8 = -0.75
The angle is α = arccos(-0.8) ≈ 143.13°
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For the unit circle, the trig values are always the coordinates or their ratio as shown above, regardless of quadrant.
If #peaches = x and #plums = y we can write the following equations:
x+y=15
0.89x + 0.39y = 8.85
and x and y are whole numbers.
converting the first to x=15-y and plugging it into the second, you get
0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9
so x = 15-9 = 6
She bought 9 plums and 6 peaches.
2200(.15)=330.00
2200+330=2530
2530(.07)=177.10
2530+177.30=2707.10
Area of the shaded region = 80 in²
Explanation:
The outer diagram is a square
Area of the square = length × length
length = 12in
Area of the square = 12in × 12in
Area of the square = 144in²
There are 3 smaller squares in each row and column:
The length in each row and colum = 12
the length o fone small box = 12/3 = 4
Area of the smaller box = 4in × 4in = 16 in²
There are 4 boxes unshaded
Area of 4 unshaded boxes = 4 × 16 in² = 64in²
Area of the shaded region = Area of the outer box - area of the unshaded boxes
Area of the shaded region = 144 - 64
Area of the shaded region = 80 in²
Answer:
0.375
Step-by-step explanation:
