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Explanation:
It might help to draw out a diagram. Refer to the image below. Point A is the cell tower location. Point B is where the person is located. This is a birds eye view. Point B is on the smaller circle of radius 23 ft. The cellphone, which has unknown location, is somewhere on the larger circle of radius 47 ft.
The best case scenario is that the phone is on ray AB, which would make the phone to be 47-23 = 24 ft away from the person. This is the closest the phone could be.
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Extra info:
On the flip side, the worst case scenario is that the phone is on the diametrically opposite side. This would mean the distance from the phone to the person is 47+23 = 70 ft. So the range of possible distances d is
Question:
Which of the following options have the same value as 65% of 20?
Choose 2 answers:
(A) 0.65⋅20
(B) 65/100 divided by 20
(C) 65/20 * 100
(D) 65 * 20
Answer:
Option A has the same value as 65% of 20
Step-by-step explanation:
Let x be the value of 65% of 20
Thus 65% of 20 is 13
Now ,
<u>Solving Option A</u>
=>
=> 13
<u>Solving Option B</u>
=> 65/100 divided by 20
=>
=>
=>0.0325
<u>Solving Option C</u>
=>65/20 * 100
=>
=>
=>325
<u>Solving Option D</u>
=> 65 * 20
=>
=> 1300
Answer:
Step-by-step explanation:
<u>Use identities to set the equation up as a quadratic</u>
<u>Make the substitution u=cos(x) and solve the quadratic</u>
<u />
Hence,
Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.
