Newberg is 8 kilometers due north of the airport, and summer field is 15 kilometers due east of the airport. How far apart are newberg and summberfeild

The correct answer is 17 kilometers.

Step-by-step explanation:

Let A denote the point where the airport is located.

Newberg is located 8 kilometers due north of airport say at point B.

Summer field is located 15 kilometers due east of the airport say at point C.

Thus ABC is the required right angled triangle with sides AB = 8; AC = 15; and ∠A = 90°.

Thus we use Pythagoras theorem to find the value of the side BC which indeed would give us the distance between Newberg and Summer field.

∴ = = = 17 kilometers.

Thus the distance between Newberg and Summer field is 17 Kilometers.

a. is correct

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.