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3 years ago

15

6 2/3 percent as a decimal

2 answers:

Westkost [7]3 years ago

6 0

Percen tmeans parst out of 100
convert to decimal first

6 and 2/3=6.666666666666666666666
percent means parst out of 100 so
6.666666=6.66666/1=666.6666666%

decimal is about 6.6666666
percent is 666.66%

mr_godi [17]3 years ago

4 0

The answer would be 6.666666666666666666666666666 because 2/3=0.66.

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Vector (ordered pair - rectangular form)

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Vector (ordered pair - polar form)

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Sum of vectorial components (linear combination)

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Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

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Vector (ordered pair - rectangular form)

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Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

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Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

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