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Bas_tet [7]
3 years ago
10

Which of the following is a true statement?

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Florida's climate is a result of high average temperatures, latitude and precipitation. please awnser my question its about the gift shop

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then  

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and  

  the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

  coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)  

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

 positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

 the positive part of x-axis

3 0
3 years ago
Sam delivers 167 newspapers every morning, he receives 5 cents per paper seven day a week, what is his weekly pay
steposvetlana [31]

Answer:

$58,45 or 5845 cents

Step-by-step explanation:

Weekly pay = 167 * 0.05 * 7 = $58.45 or 5845 cents

4 0
3 years ago
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HELP PLEASE.........​
sleet_krkn [62]

Answer:   \bold{\dfrac{41}{80}}

<u>Step-by-step explanation:</u>

\dfrac{puppies}{total}+\dfrac{kittens}{total}+\dfrac{unicorns}{total}\\\\\\=\dfrac{15}{80}+\dfrac{16}{80}+\dfrac{10}{80}\\\\\\=\large\boxed{\dfrac{41}{80}}

5 0
3 years ago
Help please I don’t know the answer to this
erma4kov [3.2K]

Answer:

ima just say 10 and 6 my G I'm kinda dumb but u could try it

4 0
2 years ago
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Beatrice makes a jar of dry soup mix. The ingredients are:
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Associate property

It’s right
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