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katovenus [111]
3 years ago
14

AB= Round your answer to the nearest hundredth

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

Step-by-step explanation:

2/sin25=AB/sin90

 AB=4.73

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Which of the following can be used as "reasons" in a two-column proof?
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A definition and a theorem can be used as a reason in a two-column proof. A two column proof is assembled into statement and reason columns, where each statement should have verified reason.

Step-by-step explanation:

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Richard has 4 1/2 ft of wood. He needs to cut the wood into 5 equal pieces. Each piece of wood will be _____?
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Answer: 22 1/2


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3 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)

6 0
3 years ago
A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's c
lys-0071 [83]

Answer:

10.50

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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