Point A is located at (0,4),and point C is located at (-3,5).Find the x value for point B that 1/4 the distance from point A to
2 answers:
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<h2>Hello!</h2>
The asnwer is: Cos50° ≈ 0.643
<h2>Why?</h2>A unit circle is a cirgle with a radius equal of 1, knowing that, also know the following:
The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:
So,
Cos50° ≈ 0.643
We can prove that by following the next steps:
- If it's a unit circle,here is a right triangle with hypotenuse of 1,
- We can determine the cosine of the angle by the following formula:
Therefore,
Cos(α)=49.98°≈50°
Also, if there is a right triangle, according to the Pythagorean Thorem:
Hence,
Cos50° ≈ 0.643
Have a nice day!
Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:
Lets look at the statements one by one.
<u>i. 4∈C</u>
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
<u>ii. 5∈C</u>
This statement is true as 5 is a member of C.
<u>iii. A=B</u>
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
<u>iv. B=C</u>
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True