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Tatiana [17]
3 years ago
12

The terminal point determined is in what quadrant?

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

  quadrant 4

Step-by-step explanation:

I find it helpful to remember that the cosine is positive in the right half-plane, and the sine is positive in the top half-plane. Knowing the relationship between sine and cosine and all the other trig functions, you can figure their signs in the various quadrants.

The bottom half-plane (sin < 0) and the right half-plane (cos > 0) overlap in the 4th quadrant.

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What is the mass of an object that has a density of 1.3 g/cm3 and a volume
tangare [24]

Answer:

The mass of the object is 2.6 grams

Step-by-step explanation:

The density of an object is the ratio between its mass and its volume

The equation of the is d = \frac{m}{V} , where

  • m is the mass
  • V is the volume

Let us use this equation to solve the question

∵ An object has a density of 1.3 g/cm³

∴ d = 1.3 g/cm³

∵ Its volume is 2 cm³

∴ V = 2 cm³

→ Substitute them in the equation of the denisty above

∵ 1.3 = \frac{m}{2}

→ Multiply both sides by 2

∴ 2 × 1.3 = 2 × \frac{m}{2}

∴ 2.6 = m

∴ The mass of the object is 2.6 grams

8 0
2 years ago
Damian has a bag that contains strawberry chews, cherry chews, and peach chews. He performs an experiment. Damian randomly remov
Nitella [24]

Answer: 2/3

Step-by-step explanation:

8 0
3 years ago
Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Reil [10]

Answer:

13.36

Step-by-step explanation:

I will first create a table

X. Y. XY. X²

1. 20. 20. 1

2. 24. 48. 4

3. 35. 105. 9

4. 46. 184. 16

5. 67. 335. 25

6. 80. 480. 36

1. 12. 12. 1

2. 34. 68. 4

3. 34. 102. 9

5. 78. 430. 25

ΣX = 32

ΣY = 430

ΣXY = 1744

ΣX² = 130

n = 10

The formula for regression line is given as :

Y = a + bX

a = intercept

b = slope

The question requires us to find b which is the slope.

b = nΣXY-ΣXΣY/nΣX²-(ΣX)²

= 10x1744-32x430/10x130-(32)²

= 17440-13760/1300-1024

= 3680/276

= 13.36

b = 13.36

6 0
2 years ago
Given that u =&lt; 2,12 &gt;, and z =&lt; -7,5 &gt;
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
Find the range of the graph
Alex

Answer:

4,-7 = 11

and

6, -9 = 15

3 0
3 years ago
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