Answer: The resultant would be the sum and the difference between the vectors.
Step by step explanation: 1. The possible resultant is between the sum of the 2 vectors and the difference between the two vectors.
2. The greatest magnitude is when the vectors lie in the same direction and the sum would be the scalar sum of the two vectors. The angle between the two would be zero degree.
Answer:
![\huge \boxed{ \boxed{ - \frac{1}{2} }}](https://tex.z-dn.net/?f=%20%20%5Chuge%20%5Cboxed%7B%20%5Cboxed%7B%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%7D%7D)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
![m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20y_2%20-%20y%20_%201%7D%7Bx_%202%20-%20x_%201%7D%20%5C%5C)
From the question we have
![m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B6%20-%208%7D%7B12%20-%208%7D%20%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20)
We have the final answer as
![- \frac{1}{2} \\](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20)
Hope this helps you
The water tower is 62.8 meters tall :))
Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
Solution :
Given :
National mean score of the reading test that is conducted the NAEP = 288
Standard deviation of the score = 38
Therefore, P(X > x) = 0.25
P (Z >
= 0.674)
![$\frac{x-288}{38} = 0.674$](https://tex.z-dn.net/?f=%24%5Cfrac%7Bx-288%7D%7B38%7D%20%3D%200.674%24)
![$x=288+(38 \times 0.674)$](https://tex.z-dn.net/?f=%24x%3D288%2B%2838%20%5Ctimes%200.674%29%24)
x = 326.67
Therefore, the highest score that is needed for the students to be in the top of 25 percent among the students those who take the exam.