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il63 [147K]
2 years ago
7

model aeroplane is made to a scale of 1 by two of the size of the real plane the area of the wings of the real plane are 40 m sq

uare find the area of the wings of the model in centimetre square
Mathematics
1 answer:
4vir4ik [10]2 years ago
6 0

The area of the wings of the model is 100000 square centimeters

<h3>How to determine the model area of the wings?</h3>

The given parameters are:

Scale factor, k = 1/2

Actual area of wings, A = 40 square meters

The model area is calculated as

Model area = Actual area * k^2

This gives

Model area = 40 * (1/2)^2

Evaluate

Model area = 10 square meters

Convert square meters to square centimeters

Model area = 10 * 10000 square centimeters

Evaluate

Model area = 100000 square centimeters

Hence, the area of the wings of the model is 100000 square centimeters

Read more about scale ratios at:

brainly.com/question/16192120

#SPJ1

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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
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Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

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3 years ago
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SVETLANKA909090 [29]
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Find f(x) + g(x) for<br> [ f(x) = 6x – 4<br> [g(x) = -5x + 24
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Answer:

f(x) + g(x) = x + 20

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 6x - 4

g(x) = -5x + 24

<u>Step 2: Find f(x) + g(x)</u>

  1. Substitute in functions:                                                                                     f(x) + g(x) = 6x - 4 + (-5x + 24)
  2. Combine like terms (x):                                                                                    f(x) + g(x) = x - 4 + 24
  3. Combine like terms:                                                                                         f(x) + g(x) = x + 20
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