1.
the triangle depicted by the drawing has an actual area of 36 square units. what is the scale of the drawing?
(note: each square on the grid has a length of 1 unit.)

what’s the answer to this? ?

1/2

Step-by-step explanation:

First, calculate the area of the triangle drawn. The area of a triangle is calculated using the formula A = bh/2

"A" means area.

"b" means base.

"h" means height.

Count the number of squares for each of the "straight" sides, (not the longest diagonal side, which is called the hypotenuse.) It does not matter which one is called the height and which is called the base.

The two sides are 6 square units and 3 squares units. Use the measurements in the formula. "u" is for units.

A = bh/2

A = (6u)(3u)/2   Multiply 6u and 3u

A = (18u²)/2   Divide by 2

A = 9u²    Area of the triangle depicted.

The scale factor, represented by the variable "k", tells you how much a shape shrunk or grew. If "k" is greater than 1, the shape grew. If "k" is greater than 0 and less than 1, the shape shrunk.

In this case, since the drawing is smaller than the actual triangle, the scale factor will be a fraction less than 1 and greater than 0.

The scale factor is used for side length. When it's used to find a side length, we use "k" multiplied by a side. Since the information we know is area, we find k² first, then isolate "k".

Divide the depicted triangle area by the actual area.

k² = 9u² ÷ 36u²

k² = 1/4

√k² = √(1/4)

k = 1/2    Scale

Therefore, the scale of the drawing is half.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional