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3 years ago

Find the length of CD

Mathematics

1 answer:

zhuklara [117]3 years ago

4 0

Answer: CD=18

Explanation: Use the side-splitter theorem and solve.

1) (3/x)=(4.5/(x+6)), cross multiply and solve for x
2) 6x+36=9x
3) x=12
4) Solve for CD
5) (12)+6=18

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Vector (ordered pair - rectangular form)

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Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

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)

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Where:

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

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

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Vector (ordered pair - polar form)

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