Question

Anyone kind enough to help me out with one question? Will give medal :)
1. Two boys want to use a seesaw, and they need to move the seesaw so that their weights will balance out. The formula is given by w1 • d1 = w2 • d2 where w1 = weight of the first boy, d1 = distance of the first boy from the fulcrum, w2 = weight of the second boy, and d2 = distance of the second boy from the fulcrum. Rewrite the formula to solve for d2. Show all steps in your work.

Answer 1

So you are basically asking to make d2 the subject of the formula....right?

Answer 2

Right

Answer 3

w1*d1=w2*d2
divide both side by w2

Answer 4

\[\frac{ w1*d1 }{ w2 }=\frac{ w2*d2 }{ w2 }\]

Answer 5

Im confused on that about what the answer will turn out to be after doing that...

Answer 6

\[\frac{ (d2\times w2) }{ w2 }=\frac{ (w1\times d1) }{ w2 } \therefore. d2=\frac{w1\times d1 }{ w2 }\]

Answer 7

Okay now so you basically just divide them and get d2=w1xd1 over w2 or is there more steps to this problem? Im kinda getting it and kinda not :/

Answer 8

Exactly. there aren't a lot of steps involved. Just the dividing

Answer 9

Oh okay thanks.. you mind helping with another question?

Answer 10

@Renato19

Answer 11

2. The distance traveled by a falling object is given by the formula d = 0.5gt2 where d = distance, g = the acceleration due to gravity, and t = time. Solve this equation for g, and use your formula to determine the acceleration due to gravity if a baseball takes 10 seconds to hit the ground after being dropped from a height of 490 feet. Show all steps in your work.

Answer 12

So in order to make g the subject we have to divide both sides by 0.5t2. Notice that the g is not included because we want it to be alone on the left hand side.

So \[g=\frac{d }{ 0.5t2 }\]
Therefore if the basketball takes 10s to hit the ground after being dropped from a height of 490 feet \[g=\frac{ 490 }{ 0.5(10)2 }= 49\]

Answer 13

Alright thanks :) I really appreciate your help

Answer 14

Im sorry I have one last question that I have to do and youre really smart and been helping me so can you do one more? its alright if you dont wanna.

Answer 15

no go ahead

Answer 16

Okay :)

4. Marcie wants to enclose her yard with a fence. Her yard is in the shape of a triangle attached to a rectangle. See the figure below.

The area of this figure can be found by the formula A = (wh) + 0.5(bh). If Marcie wants the total area to be larger than a specified value, she can use the formula A > (wh)+ 0.5(bh). Rewrite this formula to solve for b. Show all steps in your work.

Answer 17

@Renato19

Answer 18

OK step 1: take (wh) to the right hand side and change the sign
\[A -(wh) > 0.5bh\]
Step 2: divide both sides by 0.5h
\[\frac{ A-(wh) }{ 0.5h }>\frac{ 0.5bh }{ 0.5h }\]
Step 3: The '0.5' and 'h' on the left hand side cancel out leaving only 'b' on the left hand side
\[\frac{ A-(wh) }{ 0.5h }>b\]

Answer 19

Thanks youre the best

Answer 20

pleasure