The tape diagram represents an equation,
1.75
Write an equation to represent the image.

Step-by-step explanation:

Given: tape diagram

To find: an equation to represent the image

Solution:

In the image, the area of the tape diagram indicating 1.75 is equal to the sum of areas of all the five parts in the diagram such that each part indicates n.

So, according to the given information, the equation is .

Here, we have assumed that 1.75 represents an area of the first rectangle, and n represents the area of each of the small rectangle.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)