The ship is 25.54 miles away from the lighthouse.
The congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.
<h3>What is
congruence theorems?</h3>
Congruence theorems is one that explain that in a case whereby three sides of two triangles are equal to another, we can say they are congruent to each other.
From the given figure, there are two angles as well as one non-included side which is seen to be a congruent.
According to LA theorem , a triangle is congruent in a case whereby, leg as well as an acute angle of one right triangle of two right triangles are congruent to each other.
AAS theorem also explains that incase two angles and any of the side of a triangle are congruent to each other , the triangles are congruent.
Therefore, with these theorem, congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.
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With a positive NPV, it shows that the investment is profitable.
It is a profitable investment with a positive NPV at a discount rate of 20%.
Data and Calculations
Initial investment = $100
Annual cash inflows = $50
Period of investment = 3 years
Discount rate = 20%
<h3>What is the present value?</h3>
Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return.
Present Value (PV) annuity factor for 3 years at 20% = 2.106
Present value of annual cash inflows = $105.3 ($50 x 2.106)
Net Present Value (NPV) = $5.3 ($105.3 - $100)
Thus, with a positive NPV, it shows that the investment is profitable.
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Answer:
(i) 0/7
(ii) 3/7
Step-by-step explanation:
In a deck of 52 playing cards, there are 13 cards of each clubs, spades, diamonds, and hearts. From those 13 cards, each group has 1 King, Queen, Jack respectively.
No.of total outcomes = 7
(i) In the entire 52 cards, there will be 4 Kings.
The probability of getting 4 kings in 7 cards can be 4/7.
But since there are only 4 kings (4<7), the probability of getting all kings in 7 cards would be 0/7.
