3 years ago

1/x = 9/30000 what is x

Mathematics

1 answer:

leonid [27]3 years ago

7 0

X=10000/3 ,x=3333 1/3

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54x+64 greater than or equal to 49x+59 What is x

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We want to solve this:

54x + 64 ≥ 49x + 59

First, subtract 49x from both sides and you would get:

5x + 64 ≥ 59

Then subtract 64 from both sides:

5x ≥ -5

Divide both sides by 5:

x ≥ -1

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Step-by-step explanation:

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kicyunya [14]

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85° below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy = -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

direction of boat = $tan^{-1} \frac{Vy}{Vx}$

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

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4 years ago