A photo of an ant in a science book is increased 565% as large as the actual size. If the ant is 14 millimeters, what is the size of the ant in the photo

93.1 millimeters is the size of the ant in the photo.

Step-by-step explanation:

Given:

A photo of an ant in a science book is increased 565% as large as the actual size.

If the ant is 14 millimeters.

Now, to find the size of the ant in the photo.

The actual size of ant = 14 millimeters.

The size of the ant in the photo is increased 565% of 14 millimeters.

Now, to get the size of the ant in the photo we put an expression:

According to question:

Therefore, 93.1 millimeters is the size of the ant in the photo.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).