The two circles have different diameters in the ratio 5:3. (A) Calculate the radius of circle B if circle A has a radius of 35mm

(B) Calculate the area of circle A giving your answer to the nearest cm squared.

a) 21 mm

b) 39 cm^2

Step-by-step explanation:

a) The ratio of the diameter from A to B is 5:3

Let the diameter of B be x

If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm

Thus;

5/3 = 70/x

5* x = 70 * 3

5x = 210

x = 210/5

x = 42 mm

So the radius of circle B will be 42/2 = 21 mm

b) The area of circle A

Mathematically we apply the area of a circle formula here

A = pi * r^2

A = 22/7 * 35 * 35

A = 3,850 mm^2

To convert this to cm^2, we will

need to divide by 100

That would be 3850/100 = 38.5 cm^2 = 39 cm^2

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.