You have been asked to build a scale model of a restaurant out of bottle caps. the restaurant is 20 feet tall. your scale is 2.4 cm: 1 foot. a bottle cap is 1.2 cm tall. about how many bottle caps tall will your model be?

Step-by-step explanation:

we know that

The scale is

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

1.30

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)