Find the distance along an arc on the surface of the earth that subtends a central angle of 1 minute(s) (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)

Length of distance of arc = 2πr × (∅/360)

∅ = 1/60 × 360 = 6⁰

Length = 2 × 22/7 × 3960(6/60)

Length = 44/7 × 3960 × 1/10

Length = 44/7 × 396

Length = 2489.142 cm

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value