You factor out 2y from the situation
4⋅(4+(2⁶⋅2⁻³<span>))
First, settle the exponents. 2</span>⁶ x 2⁻³ = 2³ = 8
4⋅(4+8)
Settle within the parentheses
4 (12)
48 is your answer
Answer:
![d_e =6.67ft](https://tex.z-dn.net/?f=d_e%20%3D6.67ft)
Step-by-step explanation:
From the question we are told that:
Weight of Roger ![W_r=120\ pounds](https://tex.z-dn.net/?f=W_r%3D120%5C%20pounds)
Distance of Roger from fulcrum ![d_r=6 ft](https://tex.z-dn.net/?f=d_r%3D6%20ft)
Weight of Ellen ![W_e=120\ pounds](https://tex.z-dn.net/?f=W_e%3D120%5C%20pounds)
Generally the equation for distance-weight relationship is mathematically given by
![d\alpha \frac{1}{W}](https://tex.z-dn.net/?f=d%5Calpha%20%5Cfrac%7B1%7D%7BW%7D)
![\frac{d_r}{d_e} =\frac{W_e}{W_r}](https://tex.z-dn.net/?f=%5Cfrac%7Bd_r%7D%7Bd_e%7D%20%3D%5Cfrac%7BW_e%7D%7BW_r%7D)
Therefore
![\frac{d_e}{d_r} =\frac{W_r}{W_e}](https://tex.z-dn.net/?f=%5Cfrac%7Bd_e%7D%7Bd_r%7D%20%3D%5Cfrac%7BW_r%7D%7BW_e%7D)
![d_e =\frac{W_r*d_r}{W_e}](https://tex.z-dn.net/?f=d_e%20%3D%5Cfrac%7BW_r%2Ad_r%7D%7BW_e%7D)
![d_e =\frac{6*120}{108}](https://tex.z-dn.net/?f=d_e%20%3D%5Cfrac%7B6%2A120%7D%7B108%7D)
![d_e =6.67ft](https://tex.z-dn.net/?f=d_e%20%3D6.67ft)
Therefore the distance from the fulcrum she must sit to balance the seesaw is given as
![d_e =6.67ft](https://tex.z-dn.net/?f=d_e%20%3D6.67ft)
Answer:
Θ = 52°
Step-by-step explanation:
Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.
tanΘ = ![\frac{220}{170}](https://tex.z-dn.net/?f=%5Cfrac%7B220%7D%7B170%7D)
Θ = tan-1 (220/170)
Θ = 52°
Tangent (32) = 3 feet / horiz dist
horiz dist = 3 feet / 0.62487
horiz dist =
<span>
<span>
<span>
4.8009986077
</span>
</span>
</span>
=
4.8 feet (rounded)