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vazorg [7]
4 years ago
14

Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 4>, v = <9, -9> (5 points)

Mathematics
1 answer:
alexdok [17]4 years ago
6 0
There are a number of ways to do this. One way is to use a graphics program to measure it.

The angle is 71.6°.

Another way is to divide the vectors and look at the angle of the result.
  (8 +4i)/(9 -9i) = (8 +4i)(9 +9i)/162
  = 36 +108i
So the angle is
  arctan(108/36) ≈ 71.565° ≈ 71.6°

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The answer is $12,052.5. youd divide 800 into 1500 then you multiply the answer you get by 6400 then add (1500/100) x 3.5 to get your answer.
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3 years ago
Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.
olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

z=\frac{x-\bar{x}}{\sigma}

where

\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}

then we have

\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

4 0
1 year ago
Let A = R−{0}, the set of all nonzero real numbers, and consider the following relations on A × A. Decide in each case whether R
andre [41]

Answer:

Step-by-step explanation:

Let A = R−{0}, the set of all nonzero real numbers, and consider the following relations on A × A.

Given that (a,b) R (c,d) if ad=bc

Or (a,b) R (c,d) if determinant

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =0

a) Reflexive:

We have (a,b) R (a,b) because ab-ab =0 Hence reflexive

b) Symmetric

(a,b) R (c,d) gives ad-bc =0

Or da-cb =0 or cb-da =0 Hence (c,d) R(a,b). Hence symmetric

Download docx
5 0
3 years ago
What's the inequality for Noah has fewer than 8 tennis balls?
atroni [7]
X= tennis balls Noah has
x<8
7 0
3 years ago
Read 2 more answers
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