Answer:
Angle between vectors u and v: 26.56 degrees
Step-by-step explanation:
I just recently did this question, so here's my response and hopefully that helps you:
Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.
Answer:
you have an odd number, divide by 2 and round up to get the position of the median number.
Step-by-step explanation:
you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Answer:
Equivalent Fractions with the LCD
7/8 = 231/264
10/11 = 240/264
2/3 = 176/264
Step-by-step explanation:
Solution:
Rewriting input as fractions if necessary:
7/8, 10/11, 2/3
For the denominators (8, 11, 3) the least common multiple (LCM) is 264.
LCM(8, 11, 3)
Therefore, the least common denominator (LCD) is 264.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/8 = 7/8 × 33/33 = 231/264
10/11 = 10/11 × 24/24 = 240/264
2/3 = 2/3 × 88/88 = 176/264
Answer:
The Answer Is 20 Outcomes.
Step-by-step explanation:
I Thought Of 5*4=20 But Then I Did The Table To Check.
Key.
Ps Ps Ps Ps Ps
Ps Ps Ps Ps Ps
Ps Ps Ps Ps Ps
Ps Ps Ps Ps Ps
There Are 20 Outcomes.
Hope This Helps.