Answer: One of them is the set {1,2,3,4,5,6}itself; one is the empty set, containing no elements. “Proper subset of a set ” usually denotes a subset in which at least one element of the original set is missing; so one of the subsets - the original set iitself - is not a proper subset. Therefore the answer is 63.
Step-by-step explanation:
We just use the sinus rule to calculate this
a / sin alpha = b / sin beta
Alpha is the 90 degree angle from the wall to the floor
beta is the angle from the top of the ladder to the wall,
wich is 90 degrees - 75 degrees (triangle has 180 degrees angles, one is 90 degrees), so beta = 15 degrees
14 foot / sin 90 = b / sin 15
sin 90 = 1
we move the sin15 over to the other side
14 foot x sin 15 = b
b = 3.62 foot
Answer:
F(12-x)=-x+4
Step-by-step explanation:
Answer:
<u>Quick Ratio = 0.19. A quick ratio of 0.19 means that this company might not be able to fully pay off its current liabilities in the short term.</u>
Step-by-step explanation:
1. For solving this question, we need to use the Quick ratio formula, this way:
Quick Ratio = (Current Assets - Inventory - Prepaid Expenses) / Current Liabilities
2. Let's replace the formula with the real values:
Quick Ratio = (477.50 - 275 - 0)/ 1,075 (Prepaid Expenses = 0)
Quick Ratio = 202.50 / 1,075
Quick Ratio = 0.1884
<u>Quick Ratio = 0.19 (Rounding to two decimal places)</u>
3. Interpretation
A quick ratio below 1 means that the company might not be able to fully pay off its current liabilities in the short term, in this case it's 0.19 for this company. A quick ratio of 1 is considered to be the normal, as it indicates that the company is able to pay off its current liabilities with exactly enough assets to be immediately liquidated.
Answer: The value of x will make the triangles similar by the SSS similarity theorem is 30
Third option 30
Solution:
The similarity theorem indicates that the sides of similar triangles must be proportional, then:
x/45=x/45=50/75
x/45=50/75
Solving for x: Multiplying both sides of the equation by 45:
45(x/45)=45(50/75)
x=(45)(50)/75
x=2,250/75
x=30