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yawa3891 [41]
4 years ago
6

The force F​ (in pounds) required to push a sofa across a floor varies directly as the weight w​ (in pounds) of the sofa.

Mathematics
1 answer:
djyliett [7]4 years ago
3 0

Answer: F=0.41w


Step-by-step explanation:

1. You know that the force<em> F</em> varies directly as the weight <em>w</em> of the sofa. Then, you can write the following expression:

F=kw

Where <em>k </em>is the constant of proportionality.

2. You know that a person can push a 120​ pound sofa with a force of 50 pounds, then you can calcualte the constant of proportionality as following:

k=\frac{F}{w}=\frac{50lb}{120lb}=0.41

3. Then, the equation is:

F=0.41w

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The question is incomplete. Here is the complete question:

Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at the end of her vacation was t dollars. Let d represent the number of days Val rented the bicycle. Write an equation representing the total cost at the end of her vacation.

Answer:

t=f+8.5d

Step-by-step explanation:

Given:

Flat rental fee = f

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Now, total cost is given as:

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Substituting all the variables and framing above in the form of an equation, we get:

t=f+8.5d

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7 0
3 years ago
Given: CP is perpendicular to AB, CP bisects AB, Prove: CA=CB
expeople1 [14]

Answer:

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Step-by-step explanation:

Given,

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The figure of the triangle is in the attachment.

Now, In ΔACP and ΔBCP.

AP = PB(given)

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CA = CB  Hence Proved

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