9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.
This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.
So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.
y = -3cos(2πx/350) +12 . . . . . . matches choice C
Answer:
The value of y s 2.5
Step-by-step explanation:
Vertical angles are always equal to one another. In this case, we can find the angles by setting the two values equal and solving algebraically.
2y + 5 = 4y
5 = 2y
2.5 = y
9514 1404 393
Answer:
5. x = 160; y = 20
6. h = 125°; g = i = 55°
Step-by-step explanation:
Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.
5. x° and 160° are vertical angles: x° = 160°
y° and 20° are vertical angles: y° = 20°
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6. h° and 125° are vertical angles: h° = 125°
The angles g° and 125° form a "linear pair" so total 180°.
g° = 180° -125° = 55°
g° and i° are vertical angles: g° = i° = 55°
Formula for a circle: A=Pi*r^2
Diameter:2ft
Radius:1ft
A=3.14*1^2
A=3.14
Multiply by 4
4 squares=12.56ft squared
Formula for a square: A=s^2
A=4^2
A= 16ft squared
To find leftover you need to subtract 12.56 ft from 16 ft to get 3.44 ft squared(A).