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4 years ago

3 x {[(12-8) x 2] + [(11 - 9) x 3]} Add Explanation

Mathematics

1 answer:

Yanka [14]4 years ago

5 0

Answer:

Step-by-step explanation:

3 x {[(12-8) x 2] + [(11 - 9) x 3]}

12-8=4 and 11-9=2.

3 x ((4 x 2) + (2 x 3))

4 x 2= 8 and 2 x 3=6.

3 x (8 + 6)

8 + 6 is 14.

3 x 14 is 42.

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after flying at an altitude of 50 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kil

yarga [219]

Answer:

The angle of depression for the flight part is approximately 0.2604 degrees

Step-by-step explanation:

The given altitude at which the helicopter is flying = 50 meters

The horizontal distance of the helicopter from the helipad = 11 kilometers = 11,000 meters

The angle of depression = The angle of elevation = Arctan(Altitude/(Horizontal distance)

Therefore;

The angle of depression for the flight part = Arctan(50/(11,000)) ≈ 0.2604 degrees

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4 years ago

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

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4 years ago