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GalinKa [24]
2 years ago
14

Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction

Mathematics
1 answer:
il63 [147K]2 years ago
4 0

Answer:

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

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Given tanx=8/15 when pi < x < 3pi/2, find tan x/2.
S_A_V [24]

Answer:

tan(x/2)=-4

Step-by-step explanation:

we know that

The angle x belong to the III quadrant -----> given problem

step 1

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x=arctan(8/15)=28.07\°

Remember that the angle x belong to the III Quadrant

so

x=28.07\°+180\°=208.07\°

step 2

Find angle x/2

x/2=208.07\°/2=104.035\°

step 3

Find tan(x/2)

tan(104.035\°)=-4

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2 years ago
What is 2/5 x 6/7 as a fraction.
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<em>Answer:</em>

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GrogVix [38]

Answer:

Step-by-step explanation:

9(3−2x)=2(10−8x)

Step 1: Simplify both sides of the equation.

9(3−2x)=2(10−8x)

(9)(3)+(9)(−2x)=(2)(10)+(2)(−8x)(Distribute)

27+−18x=20+−16x

−18x+27=−16x+20

Step 2: Add 16x to both sides.

−18x+27+16x=−16x+20+16x

−2x+27=20

Step 3: Subtract 27 from both sides.

−2x+27−27=20−27

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Step 4: Divide both sides by -2.

−2x −2  =  −7 /−2  

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Answer:

x= 7/ 2

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3 years ago
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Devin's DVD case has 3 rows of slots, but 5 slots are broken.If x equals the number of slots in a row explain how the expression
Paul [167]

Answer:

The total number of unbroken / working slots

Step-by-step explanation:

Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken

Also given that the number of slots in a row is x

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on cross multiplication we get y = 3x

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Given that out of these 3x slots 5 . of the slots are broken

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total number of working slots are = 3x - 5

Therefore the given expression is the number of working / good slots

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