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Pepsi [2]
3 years ago
12

Pls help i'll mark as brainliest pls help

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

a. greater than 1

b. greater than 1

c. less than 1

d. greater than 1

e. equal to 1

f. less than 1

g. equal to 1

Step-by-step explanation:

Basically, when you are doing these types of problems you need to focus on how the shape is changing. If the shape is getting bigger, the factor must be greater than 1. If it is getting smaller, the factor must be less than 1. If the shape stays the same size then the factor is equal to 1.

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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}

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\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}

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