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pychu [463]
3 years ago
11

Which expression is equivalent to–4–9? 4 - 9 -4+ (-9) -4 +9 4+9

Mathematics
2 answers:
attashe74 [19]3 years ago
8 0
It’s B man :))))))))))
Alborosie3 years ago
7 0

Answer:

b

B -4+(-9

Step-by-step explanation:

because plus a negative number is just like subtracting i belive

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A force of 8 N makes an angle of π/4 radian with the y-axis, pointing to the right. The force acts against the movement of an ob
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Answer:

a) F= 4\sqrt{2} i + 4\sqrt{2} j

b) Θ=11.3

c) The work done is 20\sqrt{2}

Step-by-step explanation:

a) ||F||=8, α=π/4

Fx=||F||·sin(π/4)=8·\frac{\sqrt{2}}{2}

Fy=||F||·cos(π/4)=8·\frac{\sqrt{2}}{2}

F=Fx i + Fy j = 4\sqrt{2} i + 4\sqrt{2} j

b) We can find the value of Θ using the equation:

cos(Θ)=\frac{F.D}{||F||||D||}

where:

D= 3 i + 2 j

F=4\sqrt{2} i + 4\sqrt{2} j

The dot product is defined as the sum of the products of the components of each vector as:

F · D= (4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}

||F||= 8

||D||= \sqrt{3^2+2^2} =\sqrt{13}

Hence:

Θ=arccos(\frac{20\sqrt{2} }{8\sqrt{13} })

Θ=arccos(0.981)

Θ= 11.3°

c) Work is equal to:

F · D= (4\sqrt{2})*3+(4\sqrt{2})*2=20\sqrt{2}=28.3

Other way of obtainig the work is:

||F||||D||cos(Θ)

where:

||F||= 8

||D||= \sqrt{3^2+2^2} =\sqrt{13}

Θ=11.3°

So,  ||F||||D||cos(Θ)=8×\sqrt{13}×cos(11.3°)=28.3

3 0
3 years ago
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If ↔w||↔v, find the measurement of angle a.<br> ∠a =
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Answer:

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Step-by-step explanation:

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Jayla drove 7 5/12 kilometers to the post office and 8 1/24 kilometers to a restaurant. What expression can be used to determine
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Answer: 7 5/12  + 8 1/24  

Step-by-step explanation:

Hi, to answer this question we simply have to add both distances driven by Jayla:

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Mathematically speaking:

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Feel free to ask for more if needed or if you did not understand something.

8 0
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