you start driving north for 24 miles, then right, and drive east for another 10 miles. at the end of driving, what is your straight line distance from your starting point ?

26 miles away from your starting point

26 miles.

Step-by-step explanation:

To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .

Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:

24^2 + 10^2 = X^2

576 + 100 = X^2

√676 = X

26 = X

Thus, the distance between the two points is 26 miles.

26 miles

Step-by-step explanation:

Given: 24 miles drive to north.

          10 miles drive to east.

Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).

Now, using Pythogorean theoram to find straight line distance from starting point.

h²= a²+b²

Where, h is hypotenous

            a is opposite leg

            b is adjacent leg.

⇒h²=

⇒

⇒

Taking square root on both side, remember; √a²= ±a

⇒

∴

Ignoring -26 as distance cannot be negative.

Hence, 26 miles is the straight line distance from starting point.

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

The answer is in the image