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tiny-mole [99]
3 years ago
12

Foil Multiplication (2n+4)•(4n+7)

Mathematics
2 answers:
ratelena [41]3 years ago
7 0

Step 1: 8n+14n+12n+28

Step 2 Combine like terms: 8n+26+28

Final Answer: 34n+28

kiruha [24]3 years ago
5 0
(2n+4)x(4n+7)

=  8n^2+14x+16n+28
=8n^2+30n+28 

that's it :) !! 


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A helicopter hovers 1450 feet above a small island. The figure shows that the angle of depression from the helicopter to point P
puteri [66]

Answer:

1668 feet.

Step-by-step explanation:

We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.

If the distance required is x  (adj side) we have:

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tan 41 = 1450/x

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5 0
2 years ago
Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12
chubhunter [2.5K]

The cost to paint the walls and the ceiling is $855

<h3></h3><h3>How much will it cost?</h3>

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

brainly.com/question/24487155

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6 0
2 years ago
What is the range of possible sizes for side x? _ &lt; x &lt; _
allochka39001 [22]

Answer:

  0.5 < x < 16.5

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The third side of the triangle must be longer than the difference of the other two sides:

  x > (8.5 -8.0)

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And it must be shorter than their sum:

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The third side must be in the range ...

  0.5 < x < 16.5

_____

These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.

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