Sarah made a scale drawing of a dinosaur she made the height of the dinosaur 2 1/2 inches the actual height of dinosaurs 9 feet what scale does Sarah use for drawing

The scale used by Sarah is 1 to 43.2 inches ( drawing to actual)

Step-by-step explanation:

Here, we want to know the scale used for the drawing of the Dinosaur by sarah.

The actual height of the Dinosaur is 9 feet, but in her drawing she represented the height by 2.5 inches( 2 1/2 is same as 2.5 inches)

Mathematically, we know that 1 foot is 12 inches;

So the actual height of the Dinosaur is 9 * 12 = 108 inches

So practically, what she has done is to represent a height of 108 inches by 2.5 inches

So the scale factor used will be;

108/2.5 = 43.2

The scale used is 1 to 43.2 or simply 1:43.2 to represent the drawing to the actual

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b