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2 years ago

On average, college graduates spend more money on the lottery than those with only a high school education. True or false?

Mathematics

2 answers:

BaLLatris [955]2 years ago

6 0

I believe that the answer is TRUE!

I hope this helps. :)

Anettt [7]2 years ago

5 0

True. College graduates often spend more money on lottery tickets than those with only a high school education, hoping to win big to pay off student loans. Hope this helps!

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3 years ago

Ella stopped at a farm stand to buy some peaches. Peaches cost $1.35 per pound at the stand. Ella bought 4 peaches that weighed

Ostrovityanka [42]

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3 years ago

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3rd option

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2 years ago

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

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2 years ago

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3 years ago