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ArbitrLikvidat [17]
3 years ago
5

(60)x = 1, what are the possible values of x? Explain your answer.

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

\frac{1}{60}

Step-by-step explanation:

Problem:

 The possible values of x in the equation (60)x = 1;

Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

       60x  = 1

To solve this, we take the multiplicative inverse of 60;

   the multiplicative inverse of 60 = \frac{1}{60}

   Use this inverse to multiply both sides of the expression;

         \frac{1}{60} x  60x  = 1 x \frac{1}{60}

                   x  = \frac{1}{60}

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skad [1K]

Answer:

The unit vector u is (-5/√29) i - (2/√29) j

Step-by-step explanation:

* Lets revise the meaning of unit vector

- The unit vector is the vector ÷ the magnitude of the vector

- If the vector w = xi + yj

- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w

- The unit vector u in the direction of w is u = w/IwI

- The unit vector u = (xi + yj)/√(x² + y²)

- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j

* Now lets solve the problem

∵ v = -5i - 2j

∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29

- The unit vector u = v/IvI

∴ u = (-5i - 2j)/√29 ⇒ spilt the terms

∴ u = (-5/√29) i - (2/√29) j

* The unit vector u is (-5/√29) i - (2/√29) j

8 0
3 years ago
In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Lady bird [3.3K]

Answer:

CE= 17.59

Step-by-step explanation:

Arc Length=central angle/ 360 (circumference)

CE= 112/ 360 (2π9)

CE= 17.59

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3 years ago
A recipe includes 6 cups of flour and 2/3 cup of butter. Write the ratio of the amount of flour to the amount of butter as a fra
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6 : 2/3.....multiply by 3
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3 years ago
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Dahasolnce [82]
The answer would be:
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3 years ago
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grigory [225]

Answer:

Length: 12

Width: 2\sqrt{10\\}

Area: 24\sqrt{10\\}

Step-by-step explanation:

We first find the points of C and D to find the length.

C: (-4,-5)

D: (2,-3)

The distance is 2\sqrt{10\\.

Now for the height.

A: (2,9)

D: (2,-3)

The distance is 12.

Area: 2\sqrt{10\\×12 = 24\sqrt{10\\}

6 0
2 years ago
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