In the diagram below PQR are point on the circle with centre o and diameter 14cm <PRQ=35° Find the length of the minor arc PQ and the chord PQ take[π=3.142]​

Step-by-step explanation:

I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there.   just draw as much as you can from what the problem tells you.

diameter = 14 cm

radius = 7 cm

pi = 3.142

PRQ = 35 °

to find Y use law of sines

sin(70) / Y = sin(55) / 7

sin(70) / sin(55) / 7 = Y  ( I'll use my calculator for all the non standard angles )

sin(70) * 7 / sin(55) = Y   ( and invert and multiply the fraction in the denom )

8.03007 = Y

x = 70 °

if you have questions, and  you should, just put them in the comments , I'll see them later :)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.