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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

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

Natasha2012 [34]

(7/8) + (4/9) = 1.3194

6 0

3 years ago

What is 4/9 equivalent to ?

Marianna [84]

8/18 because just times them by 2 and it will be 8/28.

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3 years ago

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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

seropon [69]

A: 55
b: 50
c: 100
the sum of all the angles of a triangle must equal 180

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3 years ago

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

Brums [2.3K]

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]

90% of <span>£41 = 90/100 × 41 = </span><span>£36.9

</span>£41 decreased by 90% = 41 - 36.9 = <span>£4.1</span>

7 0

3 years ago

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