Question 4
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
Simplify brackets
351 = y * 8 + 7
Regroup terms
351 = 8y + 7
Subtract 7 from both sides
351 - 7 = 8y
Simplify 351 - 7 to 344
344 = 8y
Divide both sides by 8
344/8 = y
Simplify 344/8 to 43
43 = y
Switch sides
<u>y = 43</u>
The inequality that can be used to find the values for p is p + 7 ≤ 50.
Given the information,
Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.
The total budget is $50.
The cost per ticket is $7
⇒ Total spent ≤ Total Budget
⇒ p + 7 ≤ 50
⇒ p ≤ 43
Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.
To learn more about inequality click here:
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Answer: 5y
Step-by-step explanation:
Product means the multiplication of, so taking the product of 5 and y we simply have;
5*y=5y
Answer:
Step-by-step explanation:
You need to find the nth term, then substitute n there form13
