In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

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