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Mandarinka [93]
3 years ago
11

Find vector c if c=a+b (view image) A. 7,6 B. -7,2 C. 0,-5 D. -5, 0

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

\vec c=

Option B

Step-by-step explanation:

<u>Sum of vectors in</u> \mathbb{R}^2

Given two vectors \vec a= and \vec b=. The sum of both vectors is:

\vec a+\vec b =

The vectors in the figure are

\vec a=

\vec b=

The sum is

\vec c=\vec a+\vec b =

\vec c=

Option B

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If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.
siniylev [52]
The angle between two vectors is given by:
 cos (x) = (v1.v2) / (lv1l * lv2l)
 We have then:
 v1.v2 = (2, -5). (4, -3)
 v1.v2 = (2 * 4) + (-5 * (- 3))
 v1.v2 = 8 + 15
 v1.v2 = 23
 We look for the vector module:
 lv1l = root ((2) ^ 2 + (-5) ^ 2)
 lv1l = 5.385164807
 lv2l = root ((4) ^ 2 + (-3) ^ 2)
 lv2l = 5
 Substituting values:
 cos (x) = (23) / ((5.385164807) * (5))
 x = acos ((23) / ((5.385164807) * (5)))
 x = 31.33 degrees
 Answer:
 
The angle between the two vectors is:
 
x = 31.33 degrees
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3 years ago
A translation is performed on the pre-image LMN. the coordinates of l are (-2,0)
Likurg_2 [28]

Rotation.


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5 0
3 years ago
How many four-digit whole numbers are there such that the leftmost digit is odd, the second digit is even, and all four digits a
kiruha [24]

Answer: There are 1400 different combinations.

Step-by-step explanation:

The conditions are:

we have 4-digits: abcd.

all the digits are different.

a is an odd number, and b is an even number.

Then, for a, we have the options 1, 3, 5, 7 and 9 (so we have 5 options).

for b, we have the options 0, 2, 4, 6 and 8 (so we have 5 options).

for c, we can have odd or even numbers, so we have 8 options ( remember that there where 2 numbers already taken away, this is why we have only 8 options).

for d we have 7 options (because 3 numbers are already taken).

Then the number of combinations is equal to the product of the number of options for each selection:

C = 5*5*8*7 = 1400

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Answer:

Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21

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Range 19

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Largest 21

Smallest 2

Sum 160

Count 11

First Quartile Q1 = 12

Second Quartile Q2 = 15

Third Quartile Q3 = 18

Interquartile Range IQR = 6

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A boat traveling at a constant rate. In 4 seconds, the boat travels 80 feet what is the rate the boat is traveling at in feel pe
Varvara68 [4.7K]

Answer: 20 feet per second

Step-by-step explanation:

Do 80 divided by 4

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