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NISA [10]
2 years ago
6

The quotient of 38 times a number and -4

Mathematics
1 answer:
nikdorinn [45]2 years ago
4 0

Answer:

140y

Step-by-step explanation:

35 times a number times -4 is 35×y×(-4) which is -140y

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A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
joja [24]

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0
2 years ago
What is the side length of a 36 inch cube
Vladimir [108]

The side length is 3 inches

<h3>What is the perimeter of a cube?</h3>

The formula for perimeter of a cube is given as:

Perimeter = 12 × side length

We have that;

  • Perimeter = 36 inches
  • Side length be x

Substitute into the formula

12x = 36

Divide both sides by 12

12x/12 = 36 / 12

x = 3 inches

The side length is x and equal to 3 inches.

Hence, the side length is 3 inches

Learn more about a cube here:

brainly.com/question/1972490

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8 0
1 year ago
Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in mile
True [87]

Answer: |3-(-8)|


Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

We know that, Distance between any two points from A to B= B-A

Since distance is a positive quantity, thus

The distance between them = |3-(-8)| miles=11 miles


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3 years ago
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-3x+1 just do the opposite
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The ordered pair given in the bottom row can be written<br> using function notation as
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where is the ordered pair?

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