Can someone me with problem ? it’s special right triangle: decimal answers (round to the nearest tenth)

h= 4.6, c=7.1

Step-by-step explanation:

First you need to know in a 30 60 90 triangle the sides ratios are x, 2x and x√3, and for 45 90 45 it is x, x and x√2

so h is 8/√3 and you rationalize the bottom so it becomes 8√3/3. when you solve this and round to nearest hundred it becomes 4.6. for the second one, it is 5√2 and when you solve this and round, it becomes 7.1

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.