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3 years ago

How to add and subtract positive and negative numbers?

Mathematics

1 answer:

mina [271]3 years ago

4 0

Negative and negative equals a positive and positive and a negative equals a negative and then positive and positive equals positive hopefully that helped

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re

fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts $38^{\circ}$ angle to each other

The resultant of the two forces is given by

$\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}$

Insert the values

$\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb$

Resultant makes an angle of

$\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}$

So, the resultant makes an angle of $22.57^{\circ}$ with 9 lb force

Angle made with 13 lb force is $38^{\circ}-22.57^{\circ}=15.43^{\circ}$

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3 years ago

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A number K increased by 10 is the same as 24 what’s the equation

polet [3.4K]

The equation is K + 10 = 24.

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3 years ago

If the mean of this data is 95, find the missing data 103,99,90,86,105,96 what is the missing data

d1i1m1o1n [39]

Let, the missing number = x
Then, 103 + 99 + 90 + 86 + 105 + 96 + x / 7 = 95
579+x = 665
x = 665 - 579
x = 86

In short, Your Answer would be 86

Hope this helps!

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3 years ago

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jekas [21]

Answer:

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Step-by-step explanation:

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Margarita [4]

answer 6cm , 3cm , 6cm, this the answer

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