Answer:5.29 pounds
Step-by-step explanation:
135.25 -129.6
Answer:
∠F ≈ 53°
General Formulas and Concepts:
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
- sin inverse evaluates "backward" to find the measure angle
Step-by-step explanation:
<u>Step 1: Define</u>
Looking at ∠F
opposite leg of ∠F = ED = 8
hypotenuse = FE = 10
<u>Step 2: Find m∠F</u>
- Substitute: sin∠F = 8/10
- Simplify: sin∠F = 4/5
- Take sin inverse: ∠F = sin⁻¹(4/5)
- Evaluate: ∠F = 53.1301°
- Round: ∠F ≈ 53°
<span>1.
The current ratio (assets/liabilities) of company X is 3.1. Given that
the current assets are $186000, find the current liabilities:
Assets = A
Liabilities = L
A / L = 3.1 => L = A / 3.1
A = 186000 => L = 18600 / 3.1 = 6000
Answer: $ 6000
2. The board of directors determines that the current ratio must never
be below 2.6. What is the maximum amount that the company can borrow?
A/L ≥ 2.6
=> L ≤ A / 2.6
=> L ≤ 186000 / 2.6
L ≤ 71538.46
Answer: $71538.46
</span>
Answer:
176.89in^3
Step-by-step explanation:
when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!
