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Brilliant_brown [7]
3 years ago
9

A model of an airplane is built using the ratio of similarity 1 to 50. The airplane is 60feet long. What is the length of the mo

del
Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

1.2 feet long

Step-by-step explanation:

(1/50) * 60 = 1.2

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7 over 8 plus 4 over nine
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(7/8) + (4/9) = 1.3194
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8/18 because just times them by 2 and it will be 8/28.
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1. Two angle measures of a triangle are given. What is the third angle measure? A. 57 68 B. 90 40 C. 29", 71
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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
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Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
What is £41 deacreased by 90%?
DaniilM [7]
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</span>£41 decreased by 90% = 41 - 36.9 = <span>£4.1</span>
7 0
3 years ago
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