When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.
So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem (
, where
and
are the lengths of the legs of the triangle and
is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:

Now, we can solve this equation for
:


The distance would be √104 miles, or approximately 10.2 miles.
The dentist helped the inmate go straight by removing the concavity.
The mass of the toddler is 12.5 kg.
Step-by-step explanation:
The equation for gravitational potential energy is Ep=mgh where;
Ep=gravitational potential energy
m=mass of an object
g=gravitational field strength
h=height in meters
Given that ; h= 1.5m, Ep=187.5J , g=10 N/kg then finding m;
Ep=mgh
187.5=m*10*1.5
187.5=15m
187.5/15 =15m/15
12.5 kg=m
Learn More
Keyword : Mass, gravitational potential energy
#LearnwithBrainly
Wei la dooblave hexagono 8 solutes x n o solutes = questionnairre
The function for conversions from Fahrenheit to Celsius is:
Celsius = (Fahrenheit - 32) x 5/9
C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5
Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius.