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:
V = π r^2 (h/3)
(Volume equals pi r squared, h over 3)
Diameter is 4, so the radius is half of that = 2
Plug in the numbers
V = π (2^2) (16/3)
V = π (4) (5.333)
V = 3.14 x 4 = 12.566
V = 12.566 x 5.333
V = 67.014
Step-by-step explanation:
The answer is 36 m.
This is really simple. To solve, multiply the length and the width and BAM! There's your answer. So for this problem, multiply 12 by 3 and don't forget to include the unit measurement.
12 * 3 = 36
Area = 36 m
Hope this helps! :)
Yes
no
no
Reasoning: substitute in use algebra and easy answers
Mark brainliest please
Answer:
= 16
Step-by-step explanation:
1/5 of 20 = 4
so,
4/5 of 20 = 16