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3 years ago

Solve 3(4 – x) ≤ 54

Mathematics

1 answer:

algol133 years ago

7 0

3(4 - x) <= 54

12 - 3x <= 54
-3x <= 42

x >= -14 answer

Its A

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Pleaseee help help

Eddi Din [679]

The angle the golfer went off line from the tee when they drove the ball

is $\phi=28.2 \textdegree$ because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee $d_h=340yards$

Distance to the right $d_r=230yards$

Ball distance from hole $d_b=175 yard$

Given that the three points form a triangle x,y,z respectively

Where

$d_h=xz$

$d_r=xy$

$d_b=yz$

Using Cosine Rule

$yz^2=xy^2+xz^2-2(xy)(xz)cos\phi$

Therefore

$cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}$

$cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}$

$cos\phi=0.88$

$\phi=28.2 \textdegree$

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

$\phi=28.2 \textdegree$

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