Calculate the circumference of a circle with diameter 5 cm. Round to 2 d. p.

15.71 cm

Step-by-step explanation:

Equation for the circumference of a circle: 2πr or dπ where r is the radius & d is the diameter.

5*π = 15.71

15.71 cm

Step-by-step explanation:

Use the circumference formula, C = 2r

Since the radius of half of the diameter, the radius will be 2.5 cm

Plug in the radius into the formula and solve:

C = 2r

C = 2(2.5)

C = 15.71

So, the circumference of the circle is approximately 15.71 cm

answer: x=3 and y=4

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week