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bazaltina [42]
3 years ago
15

Learning Task 1: Translate each of the following problem. Write your an swer in your notebook. 1. The quotient of $2 and 2 8 2.

15² divide by 23 18 4. The quotient of 3 and 2²/1 5. The quantity six fimes 3¹ over 2. D 3. 12-split into 4
BRAINLIEST KO MAAYOS NA ANSWER PLS NEED LNG TLAGA

PERO REPORT KO DI MAAYOS


PLS!!!!​

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

1. 78/5

2. 12

3. 25/8

4. 48/35

5. 21/2

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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
5. On the fifth day of my winter break, I got five golden rings. BUT—— the golden rings were five separate water rings around my
kvv77 [185]

Answer:

Step-by-step explanation:

1 ring has a radius of 3 feet

1 ring has a circumfrence of 2*pi*r = 2 * 3.14 * 5 = 10*Pi

5 rings would have a length of 50 * pi length = 50*3.14 = 157 feet

That's a lot of Brillo pads.

4 0
2 years ago
The average depth of the ocean is about 3.8 km.width of 7600 km. calculate the ratio depth:width?
Gnoma [55]
A ratio is like a fraction, so since you are provided with the numbers its easy to put it into a ratio 
depth is 3.8km
width is 7600km
ratio is 3.8:7600
5 0
3 years ago
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
Marizza181 [45]

Answer:

75 minutes

Step-by-step explanation: 750 divided by 10 is 75

7 0
3 years ago
Read 2 more answers
The angles of a quadrilateral measure 80, 100, 100, 80 in this order what kind of quadrilateral has this shape what attributes h
Harrizon [31]

Answer:

Isosceles trapezoid

Step-by-step explanation:

-An isosceles trapezoid is also sometimes called a convex quadrilateral.

-It properties include:

  • A line of symmetry can often bisects a pair of opposite sides.
  • It has to obtuse alternating with each other after which a pair of acute angles alternate with each other i.e 80°, 80°,100°,100°
  • It has a trapezoidal shape which by definition has a two pair of parallel sides.
  • The angles on it's base or ceiling are equal hence the name Isosceles Trapezoid.

8 0
3 years ago
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