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AnnZ [28]
3 years ago
6

What is the value of (–7 + 3i) – (2 – 6i)? –9 + 9i –9 – 3i –5 – 3i –5 + 9i

Mathematics
2 answers:
Mariana [72]3 years ago
5 0
<span>(–7 + 3i) – (2 – 6i)

subtract the like terms.
-7 - 2 = -9

3i - (-6i) = 3i +6i = 9i

The answer becomes -9 + 9i</span>
beks73 [17]3 years ago
5 0

Answer:The answer is a

Step-by-step explanation:

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1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The
Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \frac{opposite}{adjacent} = \frac{12850}{hor} ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \frac{12850}{tan20} ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

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4 0
3 years ago
Read 2 more answers
Sally gets paid $15.00 dollars per hour for a 40-hour work week and y dollars for each hour she works over 40 hours. What is the
Anna35 [415]

The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

<u>Step-by-step explanation:</u>

  • Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
  • She gets y dollars for each extra hour she works over 40 hours.

<u>The equation can be framed as :</u>

Let,

  • x be the total pay she could get for 48 hours.
  • The amount she earned for 40 hours = 40 × $15 ⇒ $600
  • The amount she earned for extra hours = 8 × y ⇒ 8y

The equation is given as,

Total earnings = amount earned for 40 hours + amount for extra 8 hours.

⇒ x = 600 + 8y

Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

4 0
2 years ago
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