If he gets a hit 25% of the time then you just do 1/4 of 500. which is 125 hits out of 500
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= ![\sqrt{4^{2} +8^{2} } \\\sqrt{16+64}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5E%7B2%7D%20%2B8%5E%7B2%7D%20%7D%20%5C%5C%5Csqrt%7B16%2B64%7D)
=8.9
|b|=![\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E%7B2%7D%20%2B%28-3%29%5E%7B2%7D%20%7D%20%5C%5C%5Csqrt%7B36%2B9%7D)
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
Answer:
C
Step-by-step explanation:
I substituted the x value with the different options. I kept doing that until the equation made sense.
The answer is -10 and -13. when added they equal -23 and when you switch the symbol of the 10 and make the equation 10-13 you get -3. hope this helped.
A^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse