Answer:
187.775
Step-by-step explanation:
20.3×9.25=
187.775
Answer: y = 7cos(0.4π x) - 3
<u>Step-by-step explanation:</u>
The equation of a cosine function is: y = A cos(Bx - C) + D where
- Amplitude (A) is the distance from the midline to the max (or min)
- Period (P) is the length of one cosine wave --> P = 2π/B
- Phase Shift (C/B) is the horizontal distance shifted from the y-axis
- Midline (D) is the vertical shift. It is equal distance from the max and min
<u>Midline (D) = -3</u>
(-1.25, -3) is given as a point on the midline. We only need the y-value.
<u>Horizontal stretch (B) = 0.4π</u>
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
→ B = 0.4π
<u>Phase Shift (C) = 0</u>
The max is on the y-axis so there is no horizontal shift.
<u>Amplitude (A) = 7</u>
The distance from the midline to the max is: A = 4 - (-3) = 7
<u>Equation</u>
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
Answer:
131 in²
Step-by-step explanation:
Let x represent the length of the painting. Given that The width of a painting is 4 inches less than the length. Hence:
Width = x - 4
The area of painting = length * width = x(x - 4) = x² - 4x
The frame that surrounds the painting is 2 inches wide (at the top and bottom, left and right). Hence the total width of the frame = (x - 4) + 2 + 2 = x, the length of the frame = x + 2 + 2 = x + 4
The area of the frame = length * breath = x(x + 4) = x² + 4x
Given that the area of the frame = 240 in², hence:
x² + 4x = 240
x² + 4x - 240 = 0
x = -17.62 and x = 13.62
Since the length cannot be negative, hence length = x = 13.62 inches
Area of painting = x(x - 4) = 13.62(13.62 - 4) = 131 in²
Answer:
cost per serving can be used as a result of using your head to think