Sin = - 4/8
Quadrant IV = only cosine is positive
a = height (4)
b = base ( 8^2-4^2=b^2
b = 6.93 @
c = hypothenuse(8)
cos =
/8
tan = - 4/
sec = 1/cos
1/cos = 1/ (
/8)
sec = 8/
csc = 1/sin
1/sin = 1/(-4/8)
csc = - 2
cot = 1/tan
1/tan = 1/(-4/
)
cot = -
/4
<span>Step 1: find the radius
The radius is half of the diameter. So the radius is 8 because the diameter is 16.
Step 2: square the radius.
8^2 = 64
Step 3: plug into formula
pi * radius squared * height
3.14 * (64) * (1.8) = 361.728 m^3
The volume of the pool is 361. 728 meters cubed.
Step 4: Divide volume by the amount pumped out per hour
volume / amount pumped out = amount of hours
361.728/16 = 22.608 hours.
So your answer is approximately 23 hours.</span><span>
</span>
Answer: 473.39
Step-by-step explanation:
444.50 + 0.065*444.50 = (1 + 0.065)*444.50 = 1.065*444.50 = $473.39
Answer:
1/5
Step-by-step explanation:
4/5 - 3/5 equals 1/5
Answer:
1a) f(x) = -1/3(x + 12)² + 9
1b) f(x) = -1/3x² - 8x - 39
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Expand by FOIL (First Outside Inside Last)
Standard Form: ax² + bx + c = 0
Transformations Graph: f(x) = a(bx - c)² + d
- a = vertical shrink/stretch
- b = horizontal shrink/stretch
- c = horizontal movement left/right
- d = vertical movement up/down
Step-by-step explanation:
<u>Step 1: Define</u>
Reflected down and vertically stretched by 1/3: a = -1/3
Shifted vertically by 9 units: d = 9
Shifted horizontally by -12 units: c = -12
<u>Step 2: Write Vertex Form</u>
- Define: f(x) = a(bx - c)² + d
- Substitute: f(x) = -1/3(x + 12)² + 9
<u>Step 3: Write Standard Form</u>
- Define: f(x) = -1/3(x + 12)² + 9
- Expand: f(x) = -1/3(x² + 24x + 144) + 9
- Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9
- Combine like terms: f(x) = -1/3x² - 8x - 39
And we have our final answers!
