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nordsb [41]
3 years ago
9

A carpenter needs 36 screws that are 1.5 inches long, 24 screws that are 2 inches long, and 12 screws that are 2.5 inches long.

There are three different sized screws shown. The screws are marked two and a half inches, two inches, and one and a half inches. What is the ratio of 1.5-inch screws to 2.5-inch screws, written in three different ways? Do not reduce.
Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0
48/132
You’re welcome
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The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?
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Answer:

  50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

  Sin = Opposite/Hypotenuse

  sin(60°) = (kite height)/(100 m)

  kite height = (100 m)·sin(60°) = (100 m)(√3)/2

  kite height = 50√3 m ≈ 86.6 m

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Step-by-step explanation:

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Solve the system of equations using the linear combination method. <br> 4x−2y=7 <br> 3x+2y=0
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Answer:

x = 1

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Step-by-step explanation:

Step 1: Arrange the equations with like terms in column.

Step 2: You want 1 set of coefficients that are opposites. This problem already has opposites: -2y and +2y.

Step 3: Solve for x.

4x-2y=7

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7x = 7

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Step 4: Substitute the value of x and solve for y.

4(1)-2y=7

4-2y=7

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Answer:

131

Step-by-step explanation:

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2(87)-43

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