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3 years ago

11

If you mix the butter and the honey together, how many tablespoons will there be in all? Write your answer as a reduced fraction

in the form a/b. Type your answer with a space between the fraction and whole number.

1 answer:

konstantin123 [22]3 years ago

7 0

Answer:

battery is the answer

Step-by-step explanation:

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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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3 years ago

Of flowers in bells garden 1/5 are tulips what percent of them are not tulips

EleoNora [17]

4/5, or 80%, of the flowers are not tulips.

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1 meter is equal to 0.001 kilometers

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3 years ago

Solve for x. 4(5x−20)=−20 NEED HELP ASAP

Allisa [31]

4(5x-20)=-20
20x-80=-20
20x=60
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Alex has a job delivering newspapers. He puts 20% of his earnings each week into his college savings account. Each week he puts

gizmo_the_mogwai [7]

$80 \times 0.15 = 12$

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3 years ago