calculate the length of an arc with subtend the Circle of 60 degree at the centre of a circle of radius 1/2 metre ​

2.612 m

Step-by-step explanation:

circumference = (3.14)(0.5)(2) = 3.14 m

subtend mean to opposite part of 60°, so we're looking for a 360-60 = 300° segment.

so 5/6(3.14) = 2.612 m

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.