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dem82 [27]
3 years ago
6

Peyton and Tanner were lifting a large boulder and relocating it within their property. Peyton ispushing the boulder with a forc

e of 110 newtons at an angle of 55° with respect to the positivex-axis. Tanner is pulling the boulder with a force of 165 newtons at an angle of 42° with respectto the positive x-axis. Find the magnitude and direction (with respect to the positive x-axis) of theresultant force.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Wow, i wonder why they were lifting a large boulder? They should put it down they could get hurt!!

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X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
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