Answer:
The displacement is: - 80 i
Step-by-step explanation:
In order to answer the question, you have to apply the displacement formula, which is:
ΔX= Xf-Xi
Where ΔX is the displacement, Xf is the final position and Xi is the initial position. The formula represents the change in the position of an object from the origin.
Let the origin be in 0 km,with the x-axis positive to te right.
Notice that the displacement is a vector. The positions are:
Xf=163 km (i)
Xi= 243 km (i)
Because John starts in 243 km and finishes in 163 km.
Where i is the unit vector in the x direction.
Therefore:
ΔX= 163 i - 243 i
Solving:
ΔX= -80 i
Notice that for calculating the displacement you just need the initial and final position. It doesn't depend on the distance traveled.
The answer i am guessing is going to be c and d.
Answer:
This is an Obtuse triangle.
Step-by-step explanation:
A Equilateral Triangle is a triangle where all sides are equal. Here all sides are different so it is not an Equilateral Triangle.
Isosceles triangle is a triangle that has 2 sides that are equal. Here all sides are different therefore this is not an Isosceles triangle.
A right angled triangle is a triangle whose sides satisfy the following equality.
Lets say A triangle has sides a, b and c. Where c is the highest value.
Then, 
Lets substitute the values to the above equation to see whether it the triangle we are given satisfies the above equality,
= 
=
Therefore, ≠![17^{2}So it is not a Right Angled Triangle.If the sum of squares of the shorter sides is greater than the square of the longer side then it is an Acute angle if not it is an obtuse angle.[tex]7^{2} +15^{2}](https://tex.z-dn.net/?f=17%5E%7B2%7D%3C%2Fp%3E%3Cp%3ESo%20it%20is%20not%20a%20Right%20Angled%20Triangle.%3C%2Fp%3E%3Cp%3EIf%20the%20sum%20of%20squares%20of%20the%20shorter%20sides%20is%20greater%20than%20the%20square%20of%20the%20longer%20side%20then%20it%20is%20an%20Acute%20angle%20if%20not%20it%20is%20an%20obtuse%20angle.%3C%2Fp%3E%3Cp%3E%5Btex%5D7%5E%7B2%7D%20%2B15%5E%7B2%7D)
= ≤
Therefore, This is an Obtuse triangle.
z = 106
y = 74
Since angle 74 and angle y are the same sizes, you can know for a fact they are the same measurments. Next, you would do 74(2) and that would get you 148. 360 - 148 is 212. 212/2 is 106. TADAAAAA. That's the answer.
