Chose the correct one quality to match the real-world situation. Gabe will spend no more than $100.

Mathematics

1 answer:

kumpel [21]2 years ago

8 0

Answer:

Step-by-step explanation:

the other too are stating that Gabe will spend more than or more than/equal to $100

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I need help with this!! What is the answer???!

Natalija [7]

Answer:

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

Therefore,

2x° +2x° + 3x° + 3x° + 10 = 540°

10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

10x = 530

x = 530/10

x = 53

7 0

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:

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