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DIA [1.3K]
3 years ago
10

Need more math help please

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
The answer for this problem is D
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Vector question. Let v=<-2,1> u=<3,-5> , find:
lyudmila [28]

Answer:

1. )\vec {v}.\vec{u}= -11

2.) The angle between v and u is 147.52°.

Step-by-step explanation:

Given:

\vec {v}= ( -2 , 1 )\\\vec {u}= ( 3 , -5 )

To Find:

1. \vec {v}.\vec{u}= ?

2.\theta = ?

Solution:

\vec {v}.\vec{u} is scalar product given as,

\vec {v}.\vec{u}=|\vec {v}||\vec {u}|\cos \theta

|\vec {v}|=|(-2, 1)|=\sqrt{(-2)^{2} +1^{2}}=\sqrt{5}\\|\vec {u}|=|(3, 5)|=\sqrt{(3)^{2} +(-5)^{2}}=\sqrt{34}

\vec {v}.\vec{u}=(-2i +j).(3i-5j)\\

Here only i.i = j.j =1 and i.j = j.i = 0

∴ \vec {v}.\vec{u}=(-2\times 3 +1\times -5)\\\vec {v}.\vec{u}=-6-5=-11 \\

Now, Substituting the above values we get

-11=\sqrt{5}\times \sqrt{34}\cos \theta\\ \cos \theta=\frac{-11}{\sqrt{170}} \\ \cos \theta =-0.84366\\\therefore \theta =cos^{-1}(-0.84366)\\\therefore \theta =147.52\°

As it is negative mean \theta is in Second Quadrant Because Cosine is negative in Second Quadrant.

1. )\vec {v}.\vec{u}= -11

2.) The angle between v and u is 147.52°.

5 0
3 years ago
A volleyball has a mass of 4 kg Calculate the potential energy of a volleyball that is in the air at a height of 15 m. (g = 9.8
Helga [31]
B. 588 J

GPE = mgh
= (4)(9.8)(15)
= 588 J
7 0
3 years ago
Which is the definition of lower extreme a the largest piece of data in a set of data be the median of the lower half of the dat
olchik [2.2K]

Answer:

the smallest piece of data in a set of data

Step-by-step explanation:

6 0
3 years ago
P(x) =0.02x³+0.04x²+0.3x+1.2.Evaluate P(18) by direct substitution and by applying the remainder theorm
tatiyna

Answer:

136.2

Step-by-step explanation:

Plugin x = 18 in the polynomial.

P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2

P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2

      = 0.02 * 5832  + 0.04*324 + 5.4 + 1.2

      = 116.64 + 12.96 + 5.4 + 1.2

      = 136.2

8 0
3 years ago
Please help with this! Thanks
pashok25 [27]

a) The arrangement of 9 paintings can be done 9 ways.

b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.

<h3>What is the combination?</h3>

The arrangement of the different things or numbers in a number of ways is called the combination.

a) Here if she has 9 paintings so the number of the arrangements will be

^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways

b) The arrangement of the 4 out of 9 paintings will be

^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways

Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.

To know more about combinations follow

brainly.com/question/11732255

#SPJ1

5 0
2 years ago
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