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guapka [62]
3 years ago
8

Help me out pls thanks!

Mathematics
1 answer:
natulia [17]3 years ago
6 0
The answer is 2 I hope this is right
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(Will give Brainliest/5 Stars if correct answer)
tensa zangetsu [6.8K]
Answer: Choice D) 
The angle between the two vectors is approximately 71.6 degrees

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Work Shown: 

Each time I write the word "dot" I mean "dot product". 

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

-----------------------

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

-----------------------

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

-----------------------

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

7 0
3 years ago
My sister needs help and i dont want to help her, heres the question:
Tanzania [10]

Answer:

1.6 laps per minute

Step-by-step explanation:

Explanation: In terms of number of laps per minute, the answer is 20 laps12.5 minutes=1.6 laps per minute.

4 0
3 years ago
Read 2 more answers
Laila reads 36 pages in 4 hours which expression can be used to find the number of pages she reads per hour
djverab [1.8K]

Answer:

D

Step-by-step explanation:

 36 pages divided by 4

6 0
3 years ago
Simplified version of -12x + 3y = -3?
damaskus [11]
20 I think!


Look it up just to be sure
4 0
3 years ago
Read 2 more answers
line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Elena L [17]

Answer:

y + 7 = \frac{1}{2} (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = \frac{1}{2} and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = \frac{1}{2} (x - (- 6) ) , that is

y + 7 = \frac{1}{2} (x + 6)

8 0
2 years ago
Read 2 more answers
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